Which represents 0.007?
A. 7 hundreds
B. 7 hundredths
C. 7 thousands
D. 7 thousandths

Suppose that the relation G is defined as follows G={(-6, -4), (5, -4), (1, 5) give the domain and range of G in set notation

domain {-6, 5, 1}

range {-4, -4, 1}

In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation.

The items included between brackets are referred to as elements of a set and are not required to be in any particular order.

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

in the given relation, G={(-6, -4), (5, -4), (1, 5)}

the first figure in the parenthesis is the domai whilel the next is the range

hence domain = -6, 5, and 1 while range is -4, -4, and 5

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The number of violent crimes committed in a city on a given day in a random sample of 90 days is a discrete random variable.

A random variable refers to a numerical quantity that is obtained by a random experiment. A random variable is known as discrete if it has either a finite or a countable number of possible values while it is called continuous if its possible values contain a whole interval of numbers. Hence, a discrete random variable refers to a variable that can take any whole number values as outcomes of a random experiment. It is a variable whose value is obtained by counting. Probability distributions are used to illustrate the values of discrete random variables. A discrete random variable is also known as a stochastic variable. Examples of a discrete random variable are a binomial random variable and a Poisson random variable. As the number of crimes committed in a city can only take discrete values such as 40 crimes, 50 crimes and cannot be 40.5 crimes, it is a discrete random variable.

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In a line When the line is parallel to the x-axis, the slope is zero. The first set of coordinates' slope will be 0.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

1. For the first slope, the given coordinates are;

(-3,2), (-1,2), (1,2) and (3,2).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (2-2) / (3+3) = 0

Thus, the slope of the line is 0.

2. For the second slope, the given coordinates are;

(-3,3), (-1,1), (1,-1) and (3,-3).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-3-3) / (3+3) = -1

Thus, the slope of the line is -1.

3. For the third slope, the given coordinates are

(-5,-5), (0,0) and (5,5).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (5+5) / (5+5) = 1

Thus, the slope of the line is 1.

4. For the fourth slope, the given coordinates are

(-2,5), (-2,0) and (-2,5)

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-2+2) / (5-5) = ∞

Thus, the slope of the line is undefined.

Therefore, the slope of the first pair of coordinates will have no slope or zero slopes.

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The Jocelyn estimate's percent error is 2.181 centimeters..

What is percent error ?

Percent error calculates the difference between an estimate and a right number and expresses it as a percentage. Analysts can use this statistic to determine how big the mistake is in relation to the actual number. It is also referred to as % error and percentage error.

There are three steps to determining the % error:

1. Determine the error, which is the estimated value minus the actual value.

2. Multiply by the accurate value.

3. In order to create a percentage, multiply by 100.

Given information:

The size of a piece of wood (Exact value)= 5.5 cm

if it really does measure(Approximate value)=5.62 cm

percentage error={(approximate value-exact value)/exact value}×100

percentage error = ((5.62-5.5)/5.5)×100

percentage error = 2.181cm

Consequently, 2.181cm is the Jocelyn estimate's percent error.

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A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution and he value of the test statistic for your Z-test is 3.1111

Given :

You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site.

we know that ,

z = x - μ / σ

= 160 - 48 / 36

= 112 / 36

= 3.1111

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The required probability is P(X≥3) =0.3234

The average number of winning tickets that the woman buys each month is 2.

The binomial probability distribution is a discrete type of probability distribution with two parameters, n, and p. The probability mass function of the distribution is used to get the required probability. The average value of the winning number is the expected value of the binomial distribution.

The probability mass function of the binomial distribution is defined as:

[tex]P(X=x)=\frac{n}{x} p^{x} (1-p)^{n-x} , x =0,1,2,3,....,n.[/tex]

Given that,

n = 20

p = 0.10

The required probability is P(X≥3)

P(X≥3) = 1-P(X<3)

P(X≥3)= 1-P(X=0)-P(X=1)-P(X=2)

P(X≥3)= 1- 0.1216- 0.270- 0.285

P(X≥3) = 0.3234

The mean of the distribution is defined as μ=n*p= 20*0.10= 2

The average number of winning tickets that the woman buys each month is 2.

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Answer:

Answer please see analysis

Answer:

See attachment.

Step-by-step explanation:

The double brackets [[x]] denote the function is a floor function.

It also (more commonly) written as ⌊x⌋.

The definition of a floor function is "the greatest integer that is less than or equal to x".

Parent floor function

f(x) = ⌊x⌋

The graph of the parent floor function has closed dots at (x, x) and open dots at (x, x-1).  Each segment is joined with a horizontal line (step).

The closed dot means the value is included, whereas the open dot means the value is not included.

Given floor function:

g(x) = -[[x]] = -⌊x⌋

As the given floor function is negative, it is a reflection of the parent floor function in the x-axis.

Therefore, the graph of the given function has closed dots at (x, -x) and open dots at (x, -(x-1)). Each segment is joined with a horizontal line (step).

To draw the graph with the restricted domain [0, 5):

Note

The first attachment (green graph) is the graph of the given function g(x).

The second attachment (black graph) is the graph of the parent floor function for information purposes only.

Answer:

A and B

Step-by-step explanation:

It is transformed fro a to a' by shift left of 7 and down 3    T(-7,-3)

A. The top cycle in this case is a -> b -> c -> a.

B. The agenda that wins the candidate is:

First vote:

a vs b -> a wins

Second voice:

versus. c -> a wins

The agenda that Candidate B wins is:

First vote:

b vs c -> b wins

Second Voice:

b vs a -> b wins

The agenda that Candidate C wins is:

First vote:

c vs a -> c wins

Second Voice:

c vs b -> c wins

C. Using the Borda count system, the candidates' scores are as follows:

a:

18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)

b:

18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)

c:

18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)

d:

12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)

e:

12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)

f:

12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)

g:

6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)

Therefore, candidates a, b, and c tie for first place with 18 points each.

D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.

E. The candidate with the worst score in the Borda count is  g of 6 points.

F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:

a:

15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)

b:

15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)

c:

15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)

Day:

10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)

e:

10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)

f:

10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)

In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.

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Answer:

Below

Step-by-step explanation:

m = k l^3    <=======given

when m  = 90 kg  and l = 20 cm

 90 = k (20^3)       shows k = .01125   kg/cm^3

sooooo :    m = .01125 l^3

        when m = 1700:

                  1700 = .01125 l^3

                      l = cubrt ( 1700/.01125) = 53.26 cm

A soup can is in the shape of a cylinder. A soup can is in the shape of a cylinder. The can has a volume of 342 cm and a diameter of 6 cm.

first find the area of the circle on top

A= pie*r^2

A= 3.14*5^2

A= 3.14*25

A= 78.5

Then multiply by the height of 14 centimeter and your answer will be 1,099

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If 1+3+5+7+…+49 =625, then the value of 2+4+6+8+…+50 = 650.

What is arithmetic series?

A series of numbers called an arithmetic progression or sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

Here, we have

Given:  1+3+5+7+…+49 =625

We have to find the value of 2+4+6+8+…+50.

Here, we calculate the sum of all even numbers and we get

2+4+6+8+…+50 = 650

Hence, if 1+3+5+7+…+49 =625, the value of 2+4+6+8+…+50 = 650.

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Answer:

add one black and one white marble

Step-by-step explanation:

you have to make bag b equivalent to a 2:3 ratio.

add 1 to 5 to make it divisible by 2

divide 6 by 2

=3

multiply 3 by 3 to get a 2:3 ratio

=9

subtract initial marbles

9-8=1

Answer:

The value of f(-3) + f(5) is 10

Step-by-step explanation:

So,

f(-3) = -2x + 7

f(-3) = -2(-3) + 7

f(-3) = 6 + 7 = 13

f(5) = -2x + 7

f() = -2(5) + 7

f(5) = -10 + 7 = -3

Here, The value of f(-3) + f(5)

= f(-3) + f(5)

= 13 + (-3)

= 13 - 3

= 10

Thus, The value of f(-3) + f(5) is 10

The probability that someone is in the right job and the test is then wrong is 0.195.

The probability that the employee is in the wrong job and the test predicts that he is in the right job is 0.105.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In

The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3.  Thus, the probability that someone is in the right job and the test is then wrong is:

= 0.65*0.3

= 0.195

The probability that someone is in the wrong job and the test is right is:

= 0.35 × 0.3

= 0.105.

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Answer:

Step-by-step explanation:

cos x = 7/10

x= cos^-1 7/10

x=45.57

Additive Property of Equality justifies the second line in the  3x + 2 = 8

3x+ 2 - 2 = 8 - 2 solution.

What is Multiplicative Property of Equality?

When we multiply on both sides of an equation then the equation is remain same.

Distributive property: a(b + c) = ab + ac in other words the product of a number with sum of two numbers is equal to the sum of product first two numbers and "first and third" numbers.

Associative property: (a + b) + c = a + (b + c): If we shift the parenthesis then the result will remain the same.

Given equation is

3x+2=8

The second step is 3x + 2 - 2 = 8 - 2.

The additive inverse of 2  is -2.

-2 is added in second step. Thus Additive Property of Equality is used.

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Answer:

-5 ≤ y < ∞.

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = |x| − 5, we can first consider what happens when x is positive. In this case, the absolute value of x is just x, so the function becomes f(x) = x − 5. For example, if x = 6, then f(x) = 6 - 5 = 1. We can do this for any positive value of x to find the y-values that the function produces when x is positive.

Next, we can consider what happens when x is negative. In this case, the absolute value of x is -x, so the function becomes f(x) = -x - 5. For example, if x = -6, then f(x) = -6 - 5 = -11. We can do this for any negative value of x to find the y-values that the function produces when x is negative.

We can then combine the y-values that the function produces when x is positive and negative to find the range of the function. Since the function produces all y-values greater than or equal to -5 when x is positive and all y-values less than or equal to -5 when x is negative, the range of the function is -5 ≤ y ≤ ∞.

Therefore, the correct answer is -5 ≤ y < ∞.

The area of the shaded region - [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}[/tex] [tex]cos^{2}[/tex] 2θ dθ

Determine α, β and f(θ).

To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle [tex]\beta[/tex] .

To find f(θ), this equals r.

     α= [tex]\frac{3\pi }{4}[/tex]

      β= [tex]\frac{5\pi }{4}[/tex]

​     f(θ)=r=cos2θ

we know the integration formula,

A = [tex]\int\limits^\alpha _\beta[/tex] f (θ )² dθ

Hence, the area of the shaded region:

A =    [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,[/tex]  [tex]cos^{2}[/tex] 2θ dθ

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Answer:

Laurie work 35 hours for this week

What is business mathematics?

Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.

Simple arithmetic, elementary algebra, statistics, and probability are all frequently utilized in business. More complex arithmetic, such as calculus, matrix algebra, and linear programming, may be used to solve some management challenges.

According to question

Laurie work for this week = 4s + 3 hours  

The of rate of work per hour = 2s + 4

The total amount she earned = 700 $

Therefore:  

⇒ (hours of work) x (rate of work) = Total amount  

⇒ (4s + 3) (2s + 4) = 700

 ⇒ 8s² + 22s + 12 = 700

  ⇒ 4s² + 11s + 6 = 350

   ⇒ 4s² + 11s - 344 = 0

     ⇒ s = 8 and s = -43/8

Taking s = 8 (positive)

Laurie work for this week = 4s + 3 hours

⇒ putting s = 8

4(8) + 3 = 32 + 3 = 35 hours

hence, Laurie work this week for 35 hours.

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The value of the variables x and y according to the given representation as required are; 3 and -1 respectively.

It follows from the task content that the values of the variables x and y are to be determined according to the given representation.

Since the given representation is;

x( 1, 1 ) + y( 2, -1 ) = ( 1, 4 )

The system of equations which correctly represents the situation is;

x + 2y = 1..........(i)

x - y = 4............(ii)

By subtracting equation (ii) from equation (i); we have;

2y - (-y) = 1 - 4

3y = -3

y = -3 / 3

y = -1.

On this note, by substitution into the equation (ii);

x - (-1) = 4

x + 1 = 4

x = 4 - 1

x = 3.

On this note, the values of x and y as required in the task content are; 3 and -1 respectively.

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The forecast for 2012 was 980.

From 2004 to 2013 there are 10 years, if we include the initial year. Hence, 2013 must be year 9. Therefore, 2012 must be year 8 (check the attached image to get a better understanding of this logic, in case it's needed). With this information, take the value of 8, substitute it by x in the formula and calculate:

[tex]Sales(8) = 100 - 10x + 15x^{2} \\ \\Sales(8) = 100 - 10(8) + 15(8)^{2}\\ \\Sales(8) =980[/tex]

The forecast for 2012 was 980.

Answer:

2 hrs

Step-by-step explanation:

d / r = time

40 mi  / 20 m/hr = 2 hrs

a) The probability that student will graduate from the college chosen is 75%

b) The probability she went to Expanding University is 80%

The term probability refers the possibility of happening the particular event.

Here we have given that a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these, 40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.

And we need to find the following.

a) The probability that student will graduate from the college chosen

Through the given question, we have identified the values as, the only college in the given list is Floral College that has the graduation percentage as 75%.

b) The probability she went to Expanding University,

Here we have identified that the probability given for Expanding university is 80%, so, the probability for she went to that particular 80%

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Answer:

48 ft

Step-by-step explanation:

The height i the scale drawing is 4 in and the length is 8 in which is twice the height

The actual school has a height of 24 ft so the length is twice the height here = 24 x 2 = 48 ft

Answer: -433.15

Step-by-step explanation:

he's id debt and has to pay off the 433.15 later on.

Answer:

The McQuires' account is currently overdrawn by $483.15.

Step-by-step explanation:

If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.

Reminding pupils that tests will be based on the subject they are learning is an example of a teacher who is not utilizing an effective method for altering preconceptions.

Having kids rectify their own errors is the greatest way to address errors. In an ideal world, a student would spot a mistake and correct it without prompting, but that isn't always the case. If a student provides a wrong response to a question, you might gently remind them to try again.

There are too many diversion sources.

Nowadays, there are so many external stimuli that it's no surprise that a lot of kids feel distracted. Social media, friends, phones, television, video games, and outings all have an impact on how well kids are able to concentrate on their studies.

Every pupil who enters my door is unique. Every teacher uses a built-in strategy to deal with this difficulty. Differentiation refers to including as many modes of learning as you can in a class.

It goes without saying that some educators are educating learners who are misinformed about the subject matter they are studying.

Only a few educators are employing the precise techniques that could aid in clearing up all of these misunderstandings about the subject matter for their students.

Few professors provide pupils who exhibit misconceptions with corrective feedback in order to change such assumptions.

Therefore,

Reminding pupils that tests will be based on the subject they are learning is an example of a teacher who is not utilizing an effective method for altering preconceptions.

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10% condition is not met in this case because here sample size if 10% of the population is taken = 20.

Standard deviation decreases if 10% condition is violated.

10% condition states that the sample size we are working with must not exceed the population size. It is mostly useful when we are working with samples which are not independent.

If we use the 10% condition even with samples which are not actually independent, this condition will make it seem independent.

(a) Here population size = 200

Sample size = 50

If the 10% condition is met, sample size = 10% of population size

                                                                  = 0.10 × 200

                                                                  = 20

Sample size has exceeded the 10% condition.

(b) Standard deviation measures how much the set of values differ from      it's mean value.

Violating 10% condition increases the sample size which in turn decreases the standard deviation.

Hence the 10% condition has not met in this case as the sample size is larger. Standard deviation decreases if 10% condition is violated.

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Answer: 0.06

Step-by-step explanation: