Only member B and D will reach their goal.
Given;
Amount to be saved = $285
Total time to save money = 5 weeks
Now,
For member A:
Working hours = 8 per week
per hour earnings = $6.15
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hour
= 8 × 5 × 6.15
= $246
For member B:
Working hours = 10 per week
per hour earnings = $5.85
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 10 × 5 × 5.85
= $292.5
For member C:
Working hours = 7 per week
per hour earnings = $7.25
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 7 × 5 × $7.25
= $253.75
For member D:
Working hours = 9 per week
per hour earnings = $6.35
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 9 × 5 × $6.35
= $285.75
Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount
therefore,
Only member B and D will reach their goal
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Your question is incomplete. Please find the missing content below:
To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285? Member A: Works 8 hours per week at $6.15 per hour Member B: Works 10 hours per week at $5.85 per hour Member C: Works 7 hours per week at $7.25 per hour Member D: Works 9 hours per week at $6.35 per hour
Here is a graph of y=k/x
-What is the value of k?
The graph of y = k/x has k = 4.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = k/x
The coordinates from the graph:
(1, 4) and (2, 2).
This can be considered as,
(1, 4) = (x, y) = (2, 2)
Now,
y = k/x
4 = k/1
k = 4
y = k/x
2 = k/2
k = 4
Thus,
The value of k is 4.
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Using composition of functions, determine if the two functions are inverses of each other. A. No, because the functions contain different operations. B. Yes, for all values x ≥ 0. C. No, because the composition does not result in an answer of x. D. Yes, because F(x) is equal to –G(x).
Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.
What is composition of functions?Composition of functions is a mathematical operation that involves combining two functions to form a new function. To determine if two functions are inverses of each other using composition of functions, we need to first define the two functions and then determine if the composition of the two functions is equal to the identity function (f(x) = x).If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other. In this case, the correct answer is B: Yes, for all values x ≥ 0.To learn more about composite functions refer :
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a plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft. how far has the plane flown?
Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.
What is unit conversion?By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.
What is Pythagorean theorem and it's formula?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
It's formula is:
[tex]h^{2} = p^{2} +b^{2}[/tex]
h1=30500 feet = 5.77 miles
d1= 50 miles
h2= 18000 feet = 3.4 miles
d2= 20 miles
for right angle triangle,
height = h1-h2 = 2.37 miles
distance = 50-20 = 30 miles
plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]
=30.09 miles
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Round 24.07 to the nearest tenths. It’s for an app it got a number line
24.07 rounded to the nearest tenth is 24.1
Does 0.010110111011110... represent a
rational number or an irrational number?
Explain your reasoning.
Answer:
This is an irrational number.
Step-by-step explanation:
If you see the decimal, it has the values of 1 and 0, but are not constant.
If it were to be 0.010101010... it would be rational.
But this decimal does not look like that, so its irrational.
Hope this helps.
question in screenshot (need help ASAP)
(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM
The step in which there was a mistake in the simplification of the expression is given as follows:
A. Step 5.
How to simplify the expression?The expression in this problem is defined as follows:
(1 + 3²)/5 + |-10|/2
The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:
(1 + 3²)/5 + 10/2.
Then the square is applied to 3², as 3 x 3 = 9, hence:
(1 + 9)/5 + 10/2
The parenthesis takes precedence, hence:
10/5 + 10/2.
The first quotient takes precedence, hence:
2 + 10/2.
Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:
2 + 5 = 7.
This means that option A is correct.
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Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D
The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The inequalities are,
2( x +6 ) > -6( x +1) +2
2x + 12 > -6x - 6 + 2
2x + 6x > -12 - 6 +2
8x > -16
x > -2
-3x - 1 ≥ 20
-3x ≥ 21
x ≥ -7
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a) what is the cube root of 729
b) describe how to construct a cube root of 729
Answer:
9
Step-by-step explanation:
a.) cube root of 729
³√729
= 9
b.) look for a number that you will multiply thrice to get 729
which is 9 or u will use your calculator
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Which equation is equivalent to the quadratic equation x^2− 8x +19 = 0 where k represents the absolute value of the maximum value of the function? options:A (x-4)^2+k=0 B:(x-4)^2-k=0 C:(x+4)^2+k=0 D:(x+4)^2-k=0
The equation that is equivalent to quadratic equation x^ 2-8x+19=0 is
(x-4)^ 2+k = 0 using quadratic equation properties .
What is quadratic equation ?
A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Properties of graph of quadratic equation :
1. The shape of curve y = f(x) is a parabola.
2. If a>0, the parabola opens upwards.
3. If a<0, the parabola opens downwards.
4.The coordinates of vertex of parabola in all these cases is
(-b/2a , -D/4a).
The given equation is x^ 2-8x+19=0
a = 1,
b = -8,
c = 19.
As a>0, 2nd property is correct i.e. no maximum value , only minimum value can be find that will be at vertex.
So, the vertex = (4,3)
The minimum value = 3 at 4.
So, the value of k = 3,
Given equation can be written as x^ 2-8x+16+3 = 0.
= (x-4)^ 2 +3 = 0.
The option A is correct.
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I need to know what p is 12.4 - p =7.9
Answer: p = 4.5
Step-by-step explanation:
12.4 - 4.5 = 7.9
Answer: p=4.5
Step-by-step explanation:
You do it like this: 12.4=7.9+p
12.4-7.9=p
p=4.5
a random sample of size 36 is taken from a population with mean 17 and standard deviation 6. the probability that the sample mean is greater than 18 is?
The probability that the sample mean is greater than 18 as calculated is 0.8413.
Given data,
n = 36, sample size
μ = 17, population mean
σ = 6, population standard deviation
when x = 18
z = (18 - 17)/1 = 1
P(x <18) = 0.8413
Therefore , the probability = 0.8413
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.
While a large standard deviation indicates that the data is more spread, a small standard deviation indicates that the data points are often close to the mean.
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question 5: on a given day, there is a car accident reported at the intersection of victory blvd and richmond avenue with a probability 0.05. what is the probability that there are at most 2 car accidents reported thoughout a month?
The formula for the cumulative probability of a Poisson distribution can be used to calculate the likelihood that there will be at most 2 reported car accidents over the course of a month:
Cumulative probability is equal to (number of events * e)/(average number of events per time period).
(Number of events / (-average number of events per time period)!)
In this instance, there are typically 0.05 events per time period (the likelihood that a car accident is reported at the intersection on any given day), and there are typically between 0 and 2 events per time period (at most 2 car accidents). With these values entered into the formula, we obtain:
Cumulative probability is equal to (0.05 * e(-0.05)) / 0, (0.05 * e(-0.05)) / 1, and (0.05 * e(-0.05)) / 2, respectively.
That amounts to:
Probability total = 1 + 0.05 + 0.0025
which translates to 1.0525 percent, or 105.25%. It's crucial to keep in mind that this probability exceeds 1, which is impossible. This is because the formula for cumulative probability makes the assumption that each event is independent, which means that the occurrence of one event has no bearing on the probability of the occurrence of another. The cumulative probability calculated using this formula may not accurately reflect the probability of at most 2 car accidents occurring throughout a month because in reality, the probability of a car accident occurring on a given day may be influenced by the number of car accidents that have already occurred. You would need to account for the dependencies between the events in order to calculate this probability precisely.
The base of triangle exceeds the height by 4cm if the area is 30cm² then find the langth of base & hight of triangle
Answer:
Base = 10 cm
Height = 6 cm
Step-by-step explanation:
Here is the formula for the area of a triangle.
[tex]A=\frac{bh}{2}[/tex]
We are given
[tex]A=30[/tex]
[tex]b=h+4[/tex]
Replace all occurrences of [tex]b[/tex] with [tex]h+4[/tex] in each equation.
[tex](h+4)*\frac{h}{2} =30[/tex]
Apply the distributive property.
[tex]h(\frac{h}{2})+4(\frac{h}{2})=30[/tex]
[tex]\frac{h*h}{2}+4(\frac{h}{2})=30[/tex]
Use the power rule to combine exponents.
[tex]\frac{h^2}{2}+4(\frac{h}{2})=30[/tex]
Factor 2 out of 4 .
[tex]\frac{h^2}{2}+2(2)(\frac{h}{2})=30[/tex]
Cancel the common factor.
[tex]\frac{h^2}{2}+2h=30[/tex]
Solve for h.
Multiply each term in [tex]\frac{h^2}{2}+2h=30[/tex] by 2 to eliminate the fractions.
[tex]\frac{h^2}{2}*2+2h*2=30*2[/tex]
Simplify each term.
Cancel the common factor of 2.
[tex]h^2+2h*2=30*2[/tex]
[tex]h^2+4h=60[/tex]
Subtract 60 from both sides of the equation.
[tex]h^2+4h-60=0[/tex]
Factor using the AC method.
Consider the form [tex]x^2+bx+c[/tex] . Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex] . In this case, whose product is − 60 and whose sum is 4 .
−6, 10
Write the factored form using these integers.
[tex](h-6)(h+10)=0[/tex]
Set [tex]h-6[/tex] equal to 0 and solve for h.
Then add 6 to both sides of the equation.
[tex]h-6=0\\h=6[/tex]
Set [tex]h+10[/tex] equal to 0 and solve for h.
Then subtract 10 from both sides of the equation.
[tex]h+10=0\\h=-10[/tex]
The final solution is all the values that make [tex](h-6)(h+10)=0[/tex] true.
[tex]h=6,-10[/tex]
Given [tex]b=h+4[/tex]
Replace all occurrences of h with 6 in each equation.
[tex]b=6+4\\b=10\\h=6[/tex]
f(x) = x²+x-6
g(x) = 4x +9
Find: g(f(x))
The value of the function g(f(x))=4x²+4x-15 if f(x) = x²+x-6
g(x) = 4x +9.
What is meant by a function?An exact one of each element of Y is assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are denoted by the terms "domain" and "codomain," respectively.
The fundamental concept of functions was the connection between fluctuating quantities and other variables. One illustration of this is the impact of time on a planet's position. Beginning at the end of the 17th century and continuing until the 19th century, the concept was developed using the infinitesimal calculus.
Given,
f(x) = x²+x-6
g(x) = 4x +9
f(g(x))=f(4x+9)
g(f(x))=4(x²+x-6)+9
g(f(x))=4x²+4x-24+9
g(f(x))=4x²+4x-15
Therefore, the value of the function g(f(x))=4x²+4x-15 if f(x) = x²+x-6
g(x) = 4x +9.
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There were two candidate A and B conteting for the municipal corporation election in a town. The total number of voter in the town were 80,000. If 90% of the voter had voted and 60% of vote polled were cat in favour of A, find the number of vote received by B
There were two candidate A and B contesting for the municipal corporation election in a town. The total number of voter in the town were 80,000. If 90% of the voter had voted and 60% of vote polled were cat in favour of A, 28,800 the number of vote received by B.
What is municipal corporation election?A state-incorporated city, town, village, or county that has the power to manage local governmental matters, such as creating a police force. A municipal corporation is established by a state's legislature, which also determines its lifespan, privileges, and powers. likewise known as a municipality.
A local governing body, such as cities, counties, towns, townships, charter townships, villages, and boroughs, is referred to legally as a "municipal corporation." Municipally-owned companies can also be referred to as this
Regulation of building construction and land usage. Town planning is included in urban planning. preparing for social and economic progress. water supply for residential, commercial, and industrial uses.
Given that,
Total number voters = 80,000
Total number of votes polled = 90%
Thus,
= (90/100) × 80,000
= 72,000
So, total percent of votes received by B if A gets 60% of polled votes.
= 100% - 60%
= 40%
Hence, total number of votes received by B
= (40/100) × 72,000
= 28,800
Therefore, the number of votes received by B, out of total votes polled is 28,800 votes.
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Graph the inequality on the axes below.
3x + y ≤ -3
Answer:
y ≤ -3x - 3
Step-by-step explanation:
The graph crosses the y axis at -3. The slope is -3. (0, -3) . From that point do down vertical 3 spaces and horizontally 1 space. You will be at the point (1,-6) Draw a line to join those 2 points. The inequality is ≤ that means the solutions are the points on the line and below the line. This is shown in the pink shading.
y ≤ -3x - 3
Step-by-step explanation:
The graph crosses the y-axis at -3. The slope is -3. (0, -3) . From that point do down vertical 3 spaces and horizontally 1 space. You will be at the point (1,-6) Draw a line to join those 2 points.
The inequality is ≤ which means the solutions are the points on the line and below the line. This is shown in the pink shading.
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Graph the following linear equation using the intercepts.
\displaystyle -10 x-12 y=-60−10x−12y=−60
The x−intercept is 6 and the y-intercept is 5.
What is an equation of a line?
In high school algebra, "the equation of a line" is a crucial concept. This refers to an equation in the (x,y) plane with a line as its solution set. The "slope-intercept" form is the most widely used form in algebra. y = mx + b. In essence, x is used as a parameter in this formula, and y is written as a function of x: y = f(x) = mx+b.
Here, we have
The given equation of a line is:
−10x − 12y = −60
10x + 12y = 60
x/6 = y/5 = 1
Hence, the x−intercept is 6 and the y-intercept is 5.
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Tell whether the point (13, 17) is a solution to the system of linear equations?
y = -x + 30
y = x + 6
yes
no
Answer:
No
Step-by-step explanation:
When the 2 equations are graphed the point (13, 17) is not
a solution to the system of linear equations.
So the answer is no.
If you want to look for the solution**- the solution to the equation is (12, 18)
The median, or middle value, is 42 48 52 54 59 61 61 64 65 67 68 70 72 75 80
The median or the middle value of 42 48 52 54 59 61 61 64 65 67 68 70 72 75 80 is 64.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
42 48 52 54 59 61 61 64 65 67 68 70 72 75 80
The given set of numbers is in ascending order.
There are 15 numbers.
The middle number will be the 8th number.
8th number = 64
Thus,
The median is 64.
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what is the product of all constants $k$ such that the quadratic $x^2 kx 15$ can be factored in the form $(x a)(x b)$, where $a$ and $b$ are integers?
The value of k as calculated from the information provided is -16 , -8 , 8 , 16.
The given equation is,
x² + kx + 15
= ( x + a ) (x + b)
= x² + (a + b ) x + ab
Therefore,
k = a + b
ab = 15
as known , a and b are integers,
15 = ( -1 x -15 ) , ( 1 x 15)
15 = (-3 x -5) , (3 x 5 )
Therefore,
k = -1 -15
= -16
and
k = -3 - 5
=8
The values of k are -16 , -8 , 8 , 16.
The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.
On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.
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The rectangular floor of a classroom is 30 feet in length and 20 feet in width. A scale drawing of the floor has a length of 15 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRY PLEASEEEEEEEE
The area of the floor in the scale drawing will be equal to 150 in².
What is the area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Length of the classroom, l = 30 feet and,
The width of the classroom, w = 20 feet.
As per the scale drawing, the length of the classroom, l' = 15 feet
Let the scale width, w' = x feet
As we can see that the original length is twice the scale drawing.
Then, the original width also is twice the scale drawing.
So, w' = 20/2 = 10 feet.
Now, the area of the floor in the scale drawing will be,
A = wl
A = (15)(10)
A = 150 in².
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suppose you are trying to classify a variable where 96%of its observations equal 0 and only 4% equal 1. you run a logistic reg-ression, and the classification table shows that 97% of the classifications are correct. why might this large percentage still not be cause for celebration?
The large percentage obtained above will still not be a cause for celebration, because the observations demand a higher precision in the calculation results being obtained after running a logistic reg-session.
A precise calculation can be referred to or considered as a type of calculation, wherein the final results obtained are completely true and correct. Unlike approximate results, there is no scope of true and fair results in a precise calculation. Usually, rounding-off shall be avoided to obtained precise solutions at the end.
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For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
stays the same
increases
decreases
Population standard deviation, level of significance are same.
Margin of error increased.
With increase in margin of error sample size decreases.
By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.
The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.
Population standard deviation, level of significance are same.
Margin of error increased.
Margin of error increases leads to decrease in the sample size
as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.
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(Offering Lots of Points) Please help me with this question!
Answer:
Linear function: y = x + 7.75
Step-by-step explanation:
A store sells packages of comic books with a poster. We are told that:
A poster and 4 comics books cost $11 75.A poster and 11 comics books cost $18.75.Let p be the cost of one poster.
Let c be the cost of one comic book.
Write a system of equations using the given information and the defined variables:
[tex]\begin{cases}p + 4c = 11.75\\p + 11c = 18.75\end{cases}[/tex]
Subtract the first equation from the second equation to eliminate p:
[tex]\begin{array}{crcrcl}&p&+&11c&=&18.75\\-&(p&+&4c&=&11.75)\\\cline{2-6}&&&7c&=&\;\;7.00\\\cline{2-6}\end{array}[/tex]
Solve for c:
[tex]7c=7.00[/tex]
[tex]c=1.00[/tex]
Therefore, the cost of one comic book is $1.00.
Substitute the found value of c into one of the equations and solve for p:
[tex]\begin{aligned}p+4(1.00)&=11.75\\p+4.00&=11.75\\p&=7.75\end{aligned}[/tex]
Therefore, the cost of one poster is $7.75.
Now we know the cost of one poster and one comic, we can write a linear function that models the cost y of a package containing x number of comic books:
[tex]y = 1.00x + 7.75[/tex]
[tex]y =x + 7.75[/tex]
We are told that another store sells a similar package modeled by a linear function rule with initial value $6.99. The initial value is the y-intercept of each function, i.e. the cost of the package when zero comics are sold. So the linear function for this package is:
[tex]y = x + 6.99[/tex]
To determine which store has the better deal, we need to compare the y-intercepts (the initial values). The store with the lower initial value provides a better deal because it charges less for the basic package (when the number of comic books is zero).
Since 6.99 is less than 7.75, the other store offers a better deal, as it has a lower initial cost for the basic package.
Answer:
[tex]\Huge \boxed{ \texttt{\bf{y = x + 7.75} }}[/tex]
Step-by-step explanation:
To find the linear function rule that models the cost [tex]\texttt{y}[/tex] of a package containing any number [tex]\texttt{x}[/tex] of comic books, we can use the given information:
A poster and 4 comics cost $11.75A poster and 11 comics cost $18.75Let's denote the cost of a poster as [tex]\texttt{P}[/tex] and the cost of a comic book as [tex]\texttt{C}[/tex]. Then, we can write two equations:
[tex]\texttt{ P + 4C = 11.75}[/tex] (Equation 1) [tex]\texttt{P + 11C = 18.75}[/tex] (Equation 2)To solve these equations, we can use the method of elimination. Let's use this method to eliminate [tex]$$P$$[/tex]:
[tex]\texttt{(P + 11C) - (P + 4C) = 18.75 - 11.75}[/tex][tex]\texttt{7C = 7}[/tex][tex]\texttt{C = 1}[/tex]Now, substituting the value of [tex]\texttt{C}[/tex] back into equation 1:
[tex]\texttt{P + 4(1) = 11.75}[/tex][tex]\texttt{P = 11.75 - 4}[/tex][tex]\texttt{P = 7.75}[/tex]Now that we have the cost of a poster (P) and a comic book (C), we can write the linear function rule as:
[tex]\Large \boxed{\texttt{y = x + 7.75}}[/tex]
[tex]\texttt{y}[/tex] is the total cost of a package [tex]\texttt{x}[/tex] is the number of comic books in the package.Now, suppose another store sells a similar package modelled by a linear function rule with an initial value of $6.99. This means that the cost of a poster at the other store is $6.99. Since the cost of a comic book is the same at both stores ($1), the linear function rule for the other store is:
[tex]\Large \boxed{ \texttt{y = x + 6.99}}[/tex]
Comparing the two linear function rules, we can see that the second store has a better deal because the initial cost of a poster is lower ($6.99) compared to the first store ($7.75).
________________________________________________________
What percentage of trains were late in this particular week? 27.6% 38.2% 40.0% 72.4%
Answer:
27.6•\• is the answer from me
In a box of chocolates, of the chocolates are white chocolate, are milk
chocolate, and the rest are dark chocolate.
What fraction of the chocolates are dark chocolate?
......................................................................
Word Problems: (please write out the equations and solve it)
1. David is going out for a pizza. The Pizza costs $10.50 plus $1.50 for each extra
topping ,x. Write an equation to represent the total cost of the pizza, t.
Dependent variable:
Independent variable:
Equation:
Use your equation to determine the total cost of the pizza with 3 extra
toppings.
The total cost of the pizza is
Dependent variable: t (total cost of the pizza)
Independent variable: x (number of extra toppings)
Equation: t = 10.50 + 1.50x
To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:
t = 10.50 + 1.50(3)
t = 10.50 + 4.50
t = 15.00
So the total cost of the pizza with 3 extra toppings is $15.00.
What is Dependent Variables?
The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.
What is Independent Variables?
Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.
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Make a frequency distribution and find the relative frequencies for the following number set. Round the relative
frequency to the nearest tenth of a percent.
10 20 40 50 60 80
10 20 40 60 60 80
20 30 50 60 70 90
20 30 50 60 80 90
Number Frequency Relative Frequency
The relative frequencies for the following number set is 10 30 40 50 60 70 10 30 40 60 60 80 20 30 50 60 70 90 20 30 50 60 70 90
How do you find the relative frequency in a frequency distribution?
Divide the frequency by the total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies to the relative frequency for the current row to obtain the cumulative relative frequency. Divide the total number of occurrences of the result you're interested in by the total number of occurrences if your data are observational. This may be expressed mathematically as relative frequency = frequency of the desired result / all occurrences.
There are 24 items.
Relative Frequency:
10 - (2) - 8.33%
20 - (1) - 4.17%
30 - (4) - 16.67%
40 - (2) - 8.33%
50 - (3) - 12.5%
60 - (5) - 20.83%
70 - (3) - 12.5%
80 - (1) - 4.17%
90 - (2) - 8.33%
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a young rattlesnake grows at a rate of about 20 centimeters per year. Write an expression to represent how much ghe rattlesnake grows in y years
The exponential function to show the growth in y years is P(1.2)^y
Exponential FunctionAn exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
In this problem, this is an exponential growth since the rate increases.
Let;
P = Initial lengthA = Length in y yearsr = rate of growthThe exponential function to represent this will be;
A = P(1 + r)^y
A = P(1 + 0.2)^y
A = P(1.2)^y
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