How many modes are in the data set?


2. 20, 2. 30, 2. 30, 1. 70, 2. 00, 1. 50, 2. 40, 2. 40, 2. 00, 2. 00, 2. 00


A. 0

B. 1

C. 2

D. 3

Answers

Answer 1

Number of modes in the data set 1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00 is option (D) 3

The mode is the most frequently occurring value in a dataset. To find the modes in a dataset, we need to determine the values that occur most frequently. In the given dataset, we can see that some values occur more than once.

To start, we can sort the values in ascending order,

1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00

Now, we can count the number of occurrences of each value.

1.50 occurs once

1.70 occurs once

2.00 occurs four times

2.30 occurs twice

2.40 occurs twice

From this, we can see that the values 2.00 occur most frequently, and therefore, it is a mode. However, there are two more values that occur twice, namely, 2.30 and 2.40. Hence, these two values are also modes of the dataset.

There are three modes in the dataset: 2.00, 2.30, and 2.40.

Therefore, the correct option is (D) 3

Learn more about mode here

brainly.com/question/4043161

#SPJ4


Related Questions

need help with this question

Answers

The graph of the function h(x) can be obtained using a horizontal stretch by a factor of 4, a horizontal translation to the right by 2 units, and a vertical translation 3 units up of the graph of g(x).

The graph of the function g(x) is a translation of the function f(x) 3 units up and 6 units to the left.

The graph of the function f(x) moves 6 units above the origin.

What is a translation?

In Mathematics, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is represented or modeled by the following mathematical equation g(x) = f(x) + N.

Where:

N represents an integer.g(x) and f(x) represent a function.

Based on the information provided about the functions, we have the following:

f(x) = (x - 6)²

g(x) = x² + 3

h(x) = 4(x - 2)² + 3

Read more on translation here: brainly.com/question/4521517

#SPJ1

=
Suppose that a new employee starts working at $7.32 per hour and receives a 4% raise each year. After time t, in years, his hourly wage is given by the equation y = $7.32(1.04). Find
the amount of time after which he will be earning $10.00 per hour.
After what amount of time will the employee be earning $10.00 per hour?
years (Round to the nearest tenth of a year as needed.)
HELP PLEASE

Answers

Using the equation [tex]y = $7.32(1.04)^t[/tex], the amount of time after which the employee will be earning $10.00 is about 9.64 years, or approximately 9 years and 8 months.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

We can start by setting up the equation for the employee's hourly wage y after t years -

[tex]y = $7.32(1.04)^t[/tex]

We want to find the amount of time t after which the employee will be earning $10.00 per hour, so we can set y equal to 10 and solve for t -

[tex]10 = $7.32(1.04)^t[/tex]

Dividing both sides by $7.32, we get -

[tex]1.367 = 1.04^t[/tex]

Taking the natural logarithm of both sides, we get -

[tex]ln(1.367) = ln(1.04^t)[/tex]

Using the property of logarithms that [tex]ln(a^b) = b ln(a)[/tex], we can simplify the right-hand side -

ln(1.367) = t ln(1.04)

Dividing both sides by ln(1.04), we get -

t = ln(1.367)/ln(1.04) ≈ 9.64

Therefore, the employee will be earning $10.00 per hour after about 9.64 years.

To learn more about equation from the given link

https://brainly.com/question/28871326

#SPJ1

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room? 45 feet 25 feet 15 feet 12 feet

Answers

Answer:

actual length = 15 feet

Step-by-step explanation:

using the conversion

12 inches = 1 foot

the actual length  = 40 × scale length = 40 × 4.5 = 180 inches = 180 ÷ 12 = 15 feet

Which state is located at point C?

a map of the United States. New York, Indiana, and Kansas are labeled. There is an A marking the state south of New York along the Atlantic coast. There is a B marking the state east of Indiana. There is a C marking the state north of Indiana. There is a D marking the state northeast of Kansas. There is an E marking the state south of Kansas.

New Jersey
Ohio
Michigan
Iowa

Answers

According to the information provided, the state is at point C, Michigan.

Based on the information provided, the state located at point C is Michigan.

What is logical thinking?

Logical reasoning consists of aptitude questions that require logical analysis to arrive at a suitable solution. Most of the questions are conceptual, the rest are unconventional.

Logical thinking follows he is divided into two types.

Oral reasoning:

It is the ability to logically understand concepts expressed in words and solve problems. Oral reasoning tests your ability to extract information and meaning from sentences. Non-verbal thinking:

It is the ability to logically understand concepts represented by numbers, letters, and combinations of numbers and words and solve problems. Nonverbal reasoning tests your ability to reason and guide the logic and implications of information in a problem.

Much of the logic curriculum can be classified into his two types above. 

To know more about Logical reasoning visit:

https://brainly.com/question/14458200

#SPJ1

3. The length of one leg of a 45-45-90 triangle is 7 m. What is the length of the other leg and the length of the hypotenuse?
The other leg is 7 m, and the hypotenuse is 7 m.
The other leg is 7 m, and the hypotenuse is 14 m.
O The other leg is 7√2 m, and the hypotenuse is 7 m.
The other leg is 7 m, and the hypotenuse is 7√2 m.

Answers

Answer: The other leg is 7 m, and the hypotenuse is 7√2 m.

Step-by-step explanation:

This is just a rule that in all cases, the two legs are equal and the hypotenuse is equal to the length of a leg times the square root of 2.

Hope this helps :)

can someone explain interval and set notation (algebra 2)

Answers

Interval notation is a way to represent an interval of real numbers on the number line. Set notation is a way to represent a set of elements.

What is interval and set notation?

Interval notation is a way to represent an interval of real numbers on the number line.

The notation uses parentheses, brackets, and infinity symbols to indicate whether the endpoints of the interval are included or excluded from the set of numbers.

For example, [3, 8) represents the interval of real numbers from 3 (included) to 8 (excluded), while (-∞, 4) represents the interval of real numbers less than 4 (excluding 4), and extending to negative infinity.

Set notation is a way to represent a set of elements. It uses curly braces to enclose the elements of the set and can include various symbols to indicate properties of the set.

For example, {2, 3, 5, 7, 11} represents the set of prime numbers less than 12, while {x | x is an even number} represents the set of even numbers.

The vertical bar | is used to separate the variable (x in this case) from the condition that must be met for elements to be included in the set (x is an even number).

Learn more about set notation on:

https://brainly.com/question/24462379

#SPJ1

gamboa, inc. sold 110 selfie sticks for $10 each. if producing the selfie sticks had an average cost of $3 , how much profit did the company make?

Answers

The company made a profit of $770

How much profit did the company make?

Profit is the difference between revenue and costs. In this scenario, the revenue from selling 110 selfie sticks is $10 × 110 = $1100.

Therefore, the costs of producing the same number of selfie sticks are

110 × $3 = $330

So, the profit that Gamboa, Inc. made is

$1100 - $330 = $770.

As we can see, based on the number of selfie sticks together with their production, we managed to obtain a profit of $770.

Hence, the company made a profit of $770.

See more about profit at: https://brainly.com/question/1078746

#SPJ11

what is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212 ? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

The probability of reaching into the box and randomly drawing a chip number that is smaller than 212 is 0.9378

First, we should find the total number of chips in the box. The box contains 225 chips numbered from 1 to 225. Therefore, the probability of reaching into the box and randomly drawing a chip number that is smaller than 212 is 211/225.

The probability can be expressed as a simplified fraction or a decimal rounded to four decimal places. The probability is rounded to four decimal places is 0.9378.

The probability of drawing a chip number that is smaller than 212 from the box is 211/225 or 0.9378 (rounded to four decimal places).

To learn more about probability refer :

https://brainly.com/question/21200970

#SPJ11

Levi's investment account accrues interest biannually. The function below represents the amount of money in his account if the account is left untouched for
t years.
f(t) = 2000 (1.03)2t

The amount of money in the account ( increases or decreases )

by (2 , 3 or 103)

% (every six months, each year, or every two years)

Answers

Answer:

The amount of money in the account increases by 3% every six months, or biannually.

To see why, we can break down the function f(t) = 2000(1.03)^(2t):

The base amount in the account is $2000.The term (1.03)^(2t) represents the interest accrued over time.

Since the interest is compounded biannually, the exponent of 2t indicates the number of six-month periods that have elapsed. For example, if t = 1, then 2t = 2, which means two six-month periods have elapsed (i.e., one year).

Each time 2t increases by 2, the base amount is multiplied by (1.03)^2, which represents the interest accrued over the two six-month periods.

Thus, the amount of money in the account increases by 3% every six months, or biannually.

As for the second part of the question, the amount of increase is not 2%, 3%, or 103%.

The length of a rectangle is five times its width. If the permiteter of the rectangle is 72 m, find it’s area

Answers

Let's the width of the given rectangle be x. Then the length will be 5x.

We know that,

[tex] \bf \implies Perimeter_{( Rectangle)} = 2 ( Length + Width) [/tex]

[tex] \sf \implies 2( x+5x) = 72 [/tex]

[tex] \sf \implies 2\times 6x = 72 [/tex]

[tex] \sf \implies 12x =72 [/tex]

[tex] \bf \implies x = 6 [/tex]

Hence, the width of the rectangle is 6 m and the length is 5*6 =30 m

[tex]\bf\implies Area_{( Rectangle) }= Length \times Width [/tex]

[tex] \bf \implies Area _{( Rectangle)} = 30 \times 6 [/tex]

[tex] \bf \implies Area _{( Rectangle) }= 180 m^2 [/tex]

Therefore, the area of the given rectangle is 180 metre square.

Two percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 95% detection rate for carriers and a 3% detection rate for noncarriers. Suppose the test is applied independently to two different blood samples from the same randomly selected individual. A. What is the probability that both tests yield the same result?

Answers

The probability that both tests yield the same result is 7.7%.

Simply put, probability is the likelihood that something will occur. When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.
It is predicated on the likelihood that something will occur. The justification for probability serves as the primary foundation for theoretical probability. For instance, the theoretical chance of receiving a head when tossing a coin is 12.
Let's break it down:-
90% don't have of those 99%
5% will be positive
1% positive of those 1%
90% positive
10% negative.
Well we need it to be the same, so 99*(.05*.05+.95*.95)+.01*(.9*.9+.1*.1)= 90.4%.
If both tests are positive, we have:-

0.99*0.05*0.05 and 0.01*0.9*0.9 for being positive, so :-

[tex]\frac{carrier}{positive} = \frac{0.01*0.9*0.9}{(0.99*0.05*0.05+0.01*0.9*0.9)} = 7.7[/tex]

hence, the probability of the two tests yield the same result is 7.7%.

To know more about probability go through:-

https://brainly.com/question/13604758

#SPJ4

A number is increased by 70% and the result is 42.5. What is the number?
A. 29.75
B. 27.5
C. 25
D. 17
E. 12.75

Answers

A. 29.75 because to find out 70% of 42.5 you do
42.5 x 0.7
which equals 29.75
x + 0.7x = 42.5
Simplifying the equation:
1.7x = 42.5
Dividing both sides by 1.7, we get:
x = 25

the answer is (C) 25.

parabola a and parabola b both have the x-axis as the directrix. parabola a has its focus at (3,2) and parabola b has its focus at (5,4). select all true statements.
a. parabola A is wider than parabola B
b. parabola B is wider than parabola A
c. the parabolas have the same line of symmetry
d. the line of symmetry of parabola A is to the right of that of parabola B
e. the line of symmetry of parabola B is to the right of that of parabola A

Answers

In the following question, among the given options, Option (b) "Parabola B is wider than Parabola A" and option (d) "The line of symmetry of Parabola A is to the left of that of Parabola B" are the true statements.

The following statements are true about the parabolas: c. the parabolas have the same line of symmetry, and d. the line of symmetry of parabola A is to the right of that of parabola B.

Parabola A and Parabola B have the x-axis as the directrix, with the focus of Parabola A at (3,2) and the focus of Parabola B at (5,4). As the focus of Parabola A is to the left of the focus of Parabola B, the line of symmetry for Parabola A is to the right of the line of symmetry of Parabola B.

Parabola A and Parabola B may have different widths, depending on their equation, but this cannot be determined from the information given.

For more such questions on Parabola

https://brainly.com/question/29635857

#SPJ11

Please help physics due in 30 mins!!!!

Answers

The work done is 3750 Joules on the box.

What is the recipe for work completed?

To quantitatively express this concept, the work W is equal to the force f times the distance d, or W = fd. If the force is applied at an angle to the displacement, the work is W = fd cos.t.

The equation W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement of the item, and theta is the angle between the force and displacement vectors, can be used to solve this problem.

The force in this instance is 500 N, and the distance is provided as 15 m, and the 60 degree angle between the vectors of force and displacement.

So, by changing these numbers in the equation, we obtain:

W = 500 N x 15 m x cos (60 degrees)

We can simplify this to: Applying the trigonometric identity cos(60 degrees) = 1/2

W = (500 N) * (15 m) * (1/2)

W = 3750 J.

To know more about work done visit:-

https://brainly.com/question/29050812

#SPJ1

A road running north to south crosses a road going east to west at the point P. car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 55 km/hr, while the airplane is flying at speed 185 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing? 148.38 km/hr Draw a sketch that shows the roads intersecting at point P, Car A, and the airplane. Label the horizontal distance from P to the airplane x and the vertical distance from P to Car A as y, and let z represent the altitude of the plane. What equation relates the distance from Car A to the plane with x, y and z? Using implicit differentiation, solve for the appropriate derivative that answers the "how fast" question.

Answers

The distance between car A and the airplane is changing at a rate of 148.38 km/hr.

To better understand this answer, we can draw a sketch of the scenario and label the variables accordingly.

Let x represent the horizontal distance from P to the airplane, y the vertical distance from P to car A, and z the altitude of the airplane. The equation that relates the distance from car A to the plane can be written as:

[tex]d^2 = (x^2 + y^2 + z^2)[/tex]

We can use implicit differentiation to solve for the derivative of this equation with respect to time, which answers the “how fast” question. The derivative of the equation is:

x = 185t (horizontal distance from P to airplane)

y = 15 - 55t (vertical distance from P to car)

z = 2 (altitude of airplane)

Now we can substitute these expressions into our equation for the distance between the car and the airplane, and take the derivative with respect to time:

distance between car and airplane = sqrt((185t)^2 + (15 - 55t)^2 + 2^2)

d/dt(distance between car and airplane) = d/dt(sqrt((185t)^2 + (15 - 55t)^2 + 2^2))

= 1/2 * (185^2 * 2t + (15 - 55t)(-55)) / sqrt((185t)^2 + (15 - 55t)^2 + 2^2)

Evaluating this expression at t = 0 (the time when the car is at its closest point to the airplane), we get:

d/dt(distance between car and airplane) = 1/2 * (185^2 * 2(0) + (15 - 55(0))(-55)) / sqrt((185(0))^2 + (15 - 55(0))^2 + 2^2)

= 1/2 * (-825) / sqrt(15^2 + 2^2)

= -412.5 / sqrt (229)

The negative sign indicates that the distance between the car and the airplane is decreasing, as expected. Finally, we can take the absolute value of this expression to get the speed at which the distance is changing:

d/dt (distance between car and airplane)| = 412.5 / sqrt (229) ≈ 148.38 km/hr.

For more similar questions on differentiation

https://brainly.com/question/30572604

#SPJ11

Three softball players discussed their batting averages after a game.


Probability
Player 1 four sevenths
Player 2 five eighths
Player 3 three sixths


By comparing the probabilities and interpreting the likelihood, which statement is true?

Answers

The statement that is true is: Player 2 has the highest likelihood of getting a hit in their at-bats.

How to determine the true statement from the options

By comparing the probabilities, we can interpret the likelihood of each player getting a hit in their at-bats. The highest probability indicates the highest likelihood of getting a hit.

Comparing the probabilities of the three players, we can see that:

Player 2 has the highest probability (5/8), which means they are the most likely to get a hit in their at-bats.

Player 1 has a lower probability (4/7) than Player 2, but a higher probability than Player 3. This means they are less likely to get a hit than Player 2, but more likely to get a hit than Player 3.

Player 3 has the lowest probability (3/6 = 1/2) of getting a hit, which means they are the least likely to get a hit in their at-bats.

Therefore, the statement that is true is: Player 2 has the   of getting a hit in their at-bats.

Learn more about probabilities at https://brainly.com/question/24756209

#SPJ1

Question 70 Approximately 38 percent of people living in on Whave the blood type o positive. A random sample of 100 people from region veled people in the samed the Contra Hypothesis test to vestigate whether the percent of people in thegion with positive blood is different from that of tegen wWwth of the following is the property for the H-0.35 He0.35 с Hep -0.35 D Hp 0.35 H: 0.38

Answers

Answer: The null hypothesis (H0) is the statement that there is no significant difference between the proportion of people in the region with the O positive blood type (p) and the population proportion (p0) of 0.38.

The null hypothesis is usually denoted as:

H0: p = p0

In this case, p0 is given as 0.38, so the correct answer is:

H0: p = 0.38

Step-by-step explanation:

What is the quotient of 6. 208 × 10^9 and 9. 7 × 10^4 expressed in scientific notation?

Answers

The quotient of 6. 208 × 10⁹ and 9. 7 × 10⁴ expressed in scientific notation is 6.4 × 10¹².

Quotient:

The quotient is the answer we get when we divide one number by another. For example, if we divide the number 6 by 3, we get 2, the quotient. The quotient can be integer or decimal. For an exact division like 10 ÷ 5 = 2, we have a whole number as the quotient, and for a division like 12 ÷ 5 = 2.4, the quotient is a decimal number. The quotient can be greater than the divisor, but always less than the dividend.

Based on the given conditions, Formulate:

6.208× 10⁹ /9.7×10⁴

Simply using exponent rule with same base:

[tex]a^n. a^m = a^(n+m)[/tex]

= 6.208 × 1/9.7

Now,

the sum or difference = [tex]6.208*\frac{1}{9.7}[/tex] × 10¹³

Now solving, we get:

6.208/9.7 × 10¹³

Converting fraction into decimal, we get:

  0.64× 10¹³

⇒ 6.4 × 10¹²

Therefore,

The quotient of 6. 208 × 10⁹ and 9. 7 × 10⁴ expressed in scientific notation is 6.4 × 10¹².

Learn more about Quotient:

https://brainly.com/question/16134410

#SPJ4

1.3. The Dow Jones average (a stock market share index) dropped from 12 837 to 12 503 in one week in July 2012. 1.3.1. Calculate the drop in the share index. 1.3.2. If the price continued to drop at the same rate, calculate the Dow Jones average after 4 more weeks. ​

Answers

The Dow Jones average after 4 more weeks of the same rate of drop would be 11,167.

What is average?

Average, also known as mean, is a measure of central tendency that represents the typical or common value in a set of data. It is calculated by adding up all the values in a data set and then dividing the sum by the total number of values.

To calculate the drop in the Dow Jones average, we subtract the initial value from the final value:

Drop = Final Value - Initial Value

Drop = 12,503 - 12,837

Drop = -334

So the Dow Jones average dropped by 334 points in one week.

If the price continued to drop at the same rate for 4 more weeks, then the total drop after 5 weeks would be:

Total Drop = 5 x Drop

Total Drop = 5 x (-334)

Total Drop = -1670

To calculate the Dow Jones average after 4 more weeks, we need to subtract the total drop from the initial value:

New Dow Jones Average = Initial Value - Total Drop

New Dow Jones Average = 12,837 - 1,670

New Dow Jones Average = 11,167

Therefore, the Dow Jones average after 4 more weeks of the same rate of drop would be 11,167.

To know more about average and given link below -

https://brainly.com/question/24057012

#SPJ1

X is a Poisson RV with parameter 4. Y is a Poisson RV with parameter 5. X and Y are independent. What is the distribution of X+Y? A. X+Y is an exponential RV with parameter 9 B. X+Y is a Poisson RV with parameter 4.5 C. X+Y is a Poisson RV with parameter 9

Answers

The distribution of C) X+Y is a Poisson RV with parameter 9.

This is because the sum of two independent Poisson distributions with parameters λ1 and λ2 is also a Poisson distribution with parameter λ1 + λ2. Therefore, X+Y follows a Poisson distribution with parameter 4+5 = 9.

Option A is incorrect because an exponential distribution cannot arise from the sum of two Poisson distributions. Option B is also incorrect because the parameter of X+Y is not the average of the parameters of X and Y. Option C is the correct answer as explained above.

In summary, the distribution of X+Y is Poisson with parameter 9.

For more questions like Poisson distributions click the link below:

https://brainly.com/question/17280826

#SPJ11

Data were collected on the fiber diameter and the fleece weight of wool

Answers

Regression lines can be used to visually represent the relationship between the independent( x) and dependent( y) variables on a chart. This is point C

Point C represents the residual of the circled point in Graph 1.

The regression line is occasionally called the" best-fit line" because it's the line that stylish fits through the points. This is the line that minimizes the gap between factual results and anticipated results.

There are two charts:

In graph 1, one point is circled.

The five points labeled A, B, C, D and E can be set up in Graph 2.

Find which point on path 2 represents the remainder of the circled point on path 1

Point C represents the remainder of the circled point in Graph 1

Question

fiber diameter and fleece weight data were collected from a sample of 20 lamb. The data is presented in the graphs below. The plot is a scatterplot of pile weight versus fiber periphery, with the corresponding least places regression line indicated. Map 2 is a identified plot of residuals versus prognosticated values. Map 1 chief Weight 35 40 30 Fiber Periphery Map 2 Fiber Periphery Map 2 Remaining chief Weight 1. D 7 8 9 10 11 12 Anticipated chief Weight 13 14 15 A point is filled in the map and the points marked with ABC are displayed in the map 2 which represents the graph the rest of the circled point on the graph? Peille coat weight In Diagram 1, one point is circled. Five points, labeled A, B, C, D, and E, are linked in map

2 Which point on Chart 2 is the residual for the circled point on Chart 1?

To know more about Regression Line,

brainly.com/question/14984940

#SPJ4

if the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side length of the base of the square prism?

Answers

Therefore, the value of 'a' when the shaded cross-sections of the solids have the same area is

:a = √(4A/π).

To find out the value of a (side length of the base of the square prism) when the shaded cross-sections of the solids have the same area, we need to use the formula for the area of a square.

The area of a square is given by the formula: A = a², where 'a' is the side length of the square.

Now, let's look at the two solids given in the question.

The first solid is a square prism with base 'a' and height 'a'.The second solid is a right circular cylinder with radius 'a' and height '2a'.The cross-section of the square prism is a square with side length 'a'.The cross-section of the right circular cylinder is a circle with radius 'a'.

Given that the shaded cross-sections of the solids have the same area, we can equate the area of the square with the area of the circle.

A = πr², where 'r' is the radius of the circle Substituting the values of 'r' and 'a', we get:A = πa²/4 = a²/4Multiplying both sides by 4, we get:4A = πa²

Now we can solve for 'a' by taking the square root of both sides a = √(4A/π).

for such more questions on square prism

brainly.com/question/13048128

#SPJ11

7. What is the greatest whole number that satisfies the inequality

3x - 1 < 8 ?

Answers

Answer:

2

Step-by-step explanation:

3(2)-1<8

6-1<8

5<8

if you go up to 3 as the whole number then the equation ends up 8<8, and the sign is less than (<) not less than or equal to.

So 2 would be the answer.

the answer i need is Another pair it could be (_,10)

and every y value is _ every x value

Answers

Answer:

Another order pair could be (30,10).

Every y value is "one-third of" every x value.

cosθ(1+tanθ)=cosθ+sinθ​

Answers

Answer:

Starting with the left side of the equation:

cosθ(1+tanθ) = cosθ(1+sinθ/cosθ) (since tanθ = sinθ/cosθ)

= cosθ + sinθ

Therefore, the left side of the equation is equal to the right side of the equation, which means that cosθ(1+tanθ) = cosθ+sinθ is true.

simplest form please

Answers

hmmm what we do is firstly make the recurring part a variable, then we multiply it such that, the recurring digits move over from the decimal point to the left, so we'd multiply it by some power of 10, in this case power of 3, because we have three digits to move, 246, so let's do all that

[tex]0.\overline{246}\hspace{5em}x=0.\overline{246}\hspace{5em} \begin{array}{llll} 1000x&=&246.\overline{246}\\\\ &&246+0.\overline{246}\\\\ &&246+x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 1000x=246+x\implies 999x=246\implies x=\cfrac{246}{999}\implies x=\cfrac{82}{333}[/tex]

Exponential for (0,35), (1,50), (2,100), (3,200), (4,400)

Answers

The exponential equation that fits the data points (0,35), (1,50), (2,100), (3,200), and (4,400) is y = 35 * (10/7)^x.

To find an exponential equation that fits the given data points, we can use the general form of an exponential equation:

y = a * b^x

where y is the dependent variable (in this case, the second coordinate of each data point), x is the independent variable (the first coordinate of each data point), a is the initial value of y when x is 0, and b is the growth factor.

Using the given data points, we can create a system of equations:

35 = a * b^0

50 = a * b^1

100 = a * b^2

200 = a * b^3

400 = a * b^4

The first equation tells us that a = 35, since any number raised to the power of 0 is 1. We can then divide the second equation by the first equation to get:

50/35 = b^1

Simplifying, we get:

10/7 = b

We can now substitute a = 35 and b = 10/7 into the remaining equations and solve for y:

y = 35 * (10/7)^x

This is the exponential equation that fits the given data points. We can use it to find the value of y for any value of x. This equation gives us a way to predict the value of y for any value of x.

To learn more about exponential click on,

https://brainly.com/question/11776332

#SPJ4

A man saves Rs.7,500 in first year. In each year after the first, he saves Rs. 2,000 more than he does in the preceding year. When will he be saved the total amount Rs.1,65,000? Find it.​

Answers

Answer:

aeqtq34t

Step-by-step explanation:

q34t35t134

A dolphin was swimming 6 feet below sea level. The number line shows the
location of the dolphin. It then swam down 3 feet. Describe how to use the
number line to find the new location of the dolphin.
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
OA. On the number line, move 3 units to the left. End at -9. The dolphin
was 9 feet below sea levelsm
OB. On the number line, move 3 units to the right. End at 9. The dolphin
was 9 feet above sea level.
OC. On the number line, move 3 units to the left. End at 3. The dolphin
was 3 feet above sea level.
OD. On the number line, move 3 units to the right. End at -3. The
dolphin was 3 feet below sea level.

Answers

On the number line, move 3 units to the left. End at -9. The dolphin was 9 feet below sea level.

What is location?

Location refers to the specific position or coordinates of an object or point in space or time. It can refer to the physical location of an object or place on Earth, such as a building or city, or the position of an astronomical object in the universe.

In a mathematical context, location is often expressed as a set of coordinates or points in a coordinate system.

Location is an important concept in various fields, including geography, cartography, astronomy, and mathematics, and is often used to describe and locate objects, places, or events in a precise and accurate manner.

To know more about Location related questions, visit:

https://brainly.com/question/11718756

#SPJ1

what is the assertiveness ​

Answers

Answer:

Confident or forceful behaviour

Step-by-step explanation: I have a dictionary

Other Questions
If an applicant submits false or misleading statements or submits a license, certificate, or diploma that was illegally or fraudulently obtained in his or her application for licensure, which of the following may occur?The Board may refuse to issue the license, certificate or registration, or if it was already issued, there may be a disciplinary action up to and including suspension. 41) The primary function of the integument of an ovule is to. A) protect against animal predation. B) ensure double fertilization. C) form a seed coat. Write It Down! Achieve 3000 answers. I need help!!! On April 1 Jiro Nozomi created a new travel agency, Adventure Travel. The following transactions occurred during the company's first month.April1 Nozomi invested $30,000 cash and computer equipment worth $20,000 in the company. Received common stock (50,000 shares at $1 par).2The company rented furnished office space by paying $1,800 cash for the first & last month's rent.3The company purchased $1,000 of office supplies for cash.10The company paid $2,400 cash for the premium on a 12-month insurance policy. Coverage begins on April 11.14The company paid $1,600 cash for two weeks' salaries earned by employees.24The company collected $8,000 cash on commissions from airlines on tickets obtained for customers.28The company paid $1,600 cash for two weeks' salaries earned by employees.29The company paid $350 cash for minor repairs to the company's computer.30The company paid $750 cash for this month's telephone bill.30Nozomi received $1,500 cash dividends from the company.The company's chart of accounts follows:101Cash405Commissions Earned106Accounts Receivable612Depreciation Expense Computer Equip.124Office Supplies622Salaries Expense128Prepaid Insurance637Insurance Expense167Computer Equipment640Rent Expense168Accumulated Depreciation Computer Equip.650Office Supplies Expense209Salaries Payable684Repairs Expense301Common Stock688Telephone Expense302Dividends901Income SummaryRequired: Create: Chart of Accounts, General Ledger, General Journal, Unadjusted Trial Balance, Adjusted Trial Balance, Post-Closing Trial Balance, Income Statement, Statement of Retained Earnings, Balance Sheet. READ the information on the accounting cycle, general ledger, etc. prior to beginning the assignment.1. Use the balance column format to set up each ledger account listed in its chart of accounts.2. Prepare journal entries to record the transactions for April and post them to the ledger accounts. The company records prepaid and unearned items in balance sheet accounts.3. Prepare an unadjusted trial balance as of April 30.4. Use the following information to journalize and post adjusting entries for the month:1. Two-thirds (or $133) of one month's insurance coverage has expired.2. At the end of the month, $600 of office supplies are still available.3. This month's depreciation on the computer equipment is $500.4. Employees earned $420 of unpaid and unrecorded salaries as of month-end.5. The company earned $1,750 of commissions that are not yet billed at month-end.5. Prepare the adjusted trial balance as of April 30. Prepare the income statement and the statement of retained earnings for the month of April and the balance sheet at April 30.6. Prepare journal entries to close the temporary accounts and post these entries to the ledger.7. Prepare a post-closing trial balance8. Check(3) Unadj. trial balance totals, $58,000(4a) Dr. Insurance Expense, $133(5) Net income, $2,197Retained Earnings (4/30), $697; Total assets, $51,117(7) P-C trial balance totals, $51,61 The back emf in a motor is 72 V when operating at 1800 rpm. What would be the back emf at 2500 rpm if the magnetic field is unchanged? Which of the following would be effective methods of implementing the new strategy for your business fraternity? Check all that apply._Create a strategic plan that outlines the steps necessary to achieve the goals. Present the plan at the next chapter meeting._Announce a new project at the chapter meeting and act as project manager for the activity._Invite leadership from local companies to attend your weekly meetings to speak about and provide training on various business topics._Ask chapter members to volunteer as project managers and task them with soliciting project opportunities from local businesses._Announce the new strategy to the chapter at your weekly meeting. If members are receptive, step back and allow members to seek out projects to work on. _________ occurs when people perceive that they are being attacked or threatened.-Defensiveness-Assertiveness-Passivity-Offensiveness-Aggression In a group of rectangles, the length of each rectangle is twice the width. Is this an additive or multiplicative relationship? Explain your reasoning. Miguel ofers to sell Nisha 100 laptops at $50 each. Nisha ponders over the offer but mails her acceptabnce that evening to Miguel. Before her acceptance reaches Miguel, Mignuel finds another buyer who is willing to pay $70.00 each for the laptops. Miguel sends a revocation mail the next day to cancel his intiial offer to to Nisha, but a storm has hit the city causing the mail services to halt temporariily. Which of the following satements is true about this stiuation? A) as per the miror image rule, Nisha cannot sue Miguel for revoking his initial offer b) Miguel can use the doctrine of the promissory estoppel to defend his right to find and sell his laptops to another buyer c) As per the mailbox rule, Miguel cannot revolke his initial offer to Nisha as she had accepted his offer d) Nisha cannot sue Miguel as the deposited asseptance does not create a binding contract despite Miguel's revocation. e) Nisha cannot sue Miguel as the storm prevents Miguel from mailing his revocation. When citrate is shuttled out of the mitochondria for fatty acid synthesis, the initial reaction by citrate lyase generates which of the following products?a. Citrate and oxaloacetateb. Pyruvate and malatec. Acetyl-CoA and oxaloacetated. Acetyl-CoA and citrate C. Direction: A. Match each type of pronoun to its description.*Relative pronoun *Possessive pronoun *Indefinite pronoun subject.*Demonstrative pronoun *Personal pronoun *Reflexive pronoun to. *Interrogative pronoun *Intensive pronoun is a word ending in -self or -selves that is used in combination is a pronoun used to ask a question. used as an object that refers to the same person or thing as the short word we use as a simple substitute for the proper name. a pronoun used to point to specific people or things.pronoun that doesn't specifically identify what it is referring. a pronoun used to indicate ownership. word that is used to connect an independent clause. Help!!.. Please... 1. Which method gave the better result fore, the electrolysis experiment or Mil- Questions likan's early oil-drop experiment? Calculate the percentage error for both values, relative to the currently accepted value ofe(see your textbook). Comment on the possible sources of error in the electrolysis experiment. What do you think were the sources of error in Millikan's experiment? 2. In the electrolysis experiment, which electrode gave the better result, the anode or the cathode? Why is the result better at one electrode than at the other? 3. Why should the electrodes be kept in fixed relative positions during the electrolysis? Is it really necessary for them to be parallel? Evaluate and discuss your results for the second electrolysis. Was there any difference between the first and second electrolysis? Which was more accurate? From your observations, can you tell why? Based on DNA evidence showing the presence of mitochondrial genes, microsporidia have been moved to the fungal kingdom from which of the following?Plant kingdomAnimal kingdomProtist kingdom what the main definition of Problem solving in psycholgy? how is okonkwo greeted by his mother's kinsmen? why do you think they do not judge him negetavely for his crime? In preparing a company's statement of cash flows for the most recent year, the following information is available:Loss on the sale of equipment $14,000Purchase of equipment $225,000Proceeds from the sale of equipment $106,000Repayment of outstanding bonds $87,000Purchase of treasury stock $25,000Issuance of common stock $96,000Purchase of land $115,000Increase in accounts receivable during the year $33,000Decrease in accounts payable during the year $75,000Payment of cash dividends $35,000Net cash flows from investing activities for the year were:a) $234,000$234,000 of net cash used.b) $120,000$120,000 of net cash provided.c) $340,000$340,000 of net cash used.d) $259,000$259,000 of net cash used.e) $280,000$280,000 of net cash provided. chromium metal has a binding energy of 7.21 x 10-19 j for certain electrons. what is the photon frequency needed to eject electrons with 2.2 x 10-19 j of energy? suppose you experimentally calculate the value of the density of co2 as 2.03 g/l. the known value is 1.98 g/l. what is the percent error of your experimentally determined density? Having goals for projects is very important. It is also helpful to keep that goal in a place that you will be reminded of it. Some students write it on a note and tape it to their computer. Others might create a reminder on their smart phones. One goal that you will need to meet is the due date for the research paper and the presentation.Take a few minutes to discuss with your teacher when your final research paper and presentation are due. Type in the date in the space below. 1. The line segment AB has endpoints A(-5, 3) and B(-1,-5). Find the point that partitions the line segment ina ratio of 1:3