Identify the constant of proportionality from the graph. Pls help!!

Answer:

-8/3

Step-by-step explanation:

find slope

(-1,5) ( 2,-3 )

(-3 -5)/( 2-(-1)) = -8/3

Answer:

3

Step-by-step explanation:

4/12 = 1/3 yepppp djdkkdkdd

Answer: 21.5

Step-by-step explanation:

add 18 and 25 equals 43

then divide that by 2 and the answer is 21.5

Hope this helps :)

The probability that a brook trout's length exceeds the mean is 0.50.

One of the benefits of normal distributions is that we can find probabilities without being given the parameters of the distribution. This is achieved provided that we know the number of standard deviations from the mean the value of the random variable that delimits the indicated interval is.

We are given;

Distribution of length of a Colorado brook trout; Normal Distribution

Now, we want to find the likelihood of a value greater than the mean is 0.50.

We also know that if it is seen that the shape of the data is almost like a bell shape, then the data will be considered to have a normal distribution.

Thus, by the property of a normal distribution, the probability is 0.50.

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Answer: B

Step-by-step explanation: x = 6

Answer:

0.177

Step-by-step explanation:

A perfect correlation is 1. So .998 or even .863 is a good correlation.

since our decimal isn't close to that at all, we have a weak positive correlation.

Answer:

180 degrees

Step-by-step explanation:

because 52 degrees + 104 degrees + 24 degrees = 180 degrees

Answer:

B. 10 Degrees.

Step-by-step explanation:

The degrees of the angles on a triangle must have a sum of 180 degrees.

100 + 70 = 170.

180 - 170 = 10.

This is how you know 10 degrees is what the third angle must be.

100 + 70 + 10 = 180.

So, B is your answer.

Step-by-step explanation:

step one:

The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.

step two:

let us assume it was to be an increase i.e 7x

the length would be 4*7= 28 inches

the width would be 6*7= 42 inches

step three:

Also, we assume it was to a decrease i.e 7x

the length would be 4/7= 0.57 inches

the width would be 6/7= 0.85 inches

The sum S, given by the expression n=0 Σ(3n + 2(4n)), diverges to positive infinity.

To find the value of S, we expand the summation notation and simplify the expression. The sum represents the terms 3n + 2(4n) for each value of n starting from 0.

Simplifying the expression, we have S = 0 + (3 + 8) + (6 + 16) + ...

By combining like terms, we get S = 0 + 11 + 22 + ...

Since the pattern continues indefinitely, it indicates that the sum diverges to positive infinity. In other words, the sum S does not have a finite value.

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Answer:

The fixed rentals for the book

Answer:

B

Step-by-step explanation:

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

SOLUTION:

Step 1:

Since the two figures are similar, it means that they have properties in common.

Step 2:

In the bigger figure, the side given is 10in and its area is 100 square inches meaning (10 in x 10 in).

Step 3:

In the smaller figure, the side given is 8in, and from step 1, we can see that the two figures are similar, so the area of the smaller figure will be (8 in x 8 in) = 64 square inches.

CONCLUSION:

The area of the smaller figure is 8in x 8in = 64 square inches

Answer: 2 1/2

Step-by-step explanation:

Jack should take the step of drawing the perpendicular bisectors of two sides of ∆ABC next in completing the construction.

To construct the circumscribed circle of ∆ABC using only a compass and straightedge, the following steps are typically taken:

Draw ∆ABC: Use the straightedge to draw the triangle with vertices A, B, and C.

Find the perpendicular bisectors: Take any two sides of the triangle (let's say AB and BC) and use the compass to find their perpendicular bisectors. To do this, place the compass point at the midpoint of AB and draw an arc above and below AB. Repeat the process for the midpoint of BC. The intersection of these arcs is the circumcenter O of ∆ABC.

Draw the circumscribed circle: With O as the center and a radius equal to the distance from O to any vertex (e.g., OA, OB, or OC), use the compass to draw the circumscribed circle passing through all three vertices A, B, and C.

By following these steps, Jack can construct the circumscribed circle of ∆ABC using only a compass and a straightedge.

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It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.

Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.

Survey sampling involves three steps, which are:

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Answer:

2, 6, 8

6, 12, 18

2:6, 6:12, 8:18

Answer:

x=(4,0)

y=(0,-6)

Step-by-step explanation:

The given statement about Histogram that , " if median of a data set is larger than mean, then the histogram of data will likely have a longer right tail" is FALSE .

A histogram is a graph in which most of data falls to the right of graph's peak and is known as a right-skewed histogram. This type of histogram is  also known as a positively skewed histogram.

The relation between the mean , median and mode in a right-skewed histogram is denoted as : mean > median > mode .

A distribution is called skewed Right if, in histogram , the right tail (smaller values) is much longer than the left tail (larger values).

Therefore , For histogram to have longer right tail , the median should be less than the mean .

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Answer:

mag try sa chrome

Step-by-step explanation:

thank you

hope it's help

Answer: 24

Step-by-step explanation:

Volume = L x W x H

Volume = 4 x 2 x 3

Volume = 24

a) To find the volume of the torus using the shell method, the integral can be set up as ∫2πy(2πr)dy.

b) To find the volume of the torus using the washer method, the integral can be set up as ∫π(R²-r²)dx.

c) The volume of the torus can be found by evaluating one of the two integrals obtained in parts (a) and (b).

a) The shell method involves considering cylindrical shells with height dy and radius y. Since the torus is formed by revolving a circle of radius 3 centered at (8,0) about the y-axis, the radius of each shell is y and the height is 2πr, where r is the distance from the y-axis to the circle. Therefore, the integral to find the volume of the torus using the shell method is ∫2πy(2πr)dy.

b) The washer method involves considering infinitesimally thin washers with inner radius r and outer radius R. In the case of the torus, the inner radius is the distance from the y-axis to the circle, which is y, and the outer radius is the radius of the circle, which is 3. Therefore, the integral to find the volume of the torus using the washer method is ∫π(R²-r²)dx.

c) To find the volume of the torus, one of the two integrals obtained in parts (a) and (b) can be evaluated. The specific integral to evaluate depends on the chosen method (shell or washer). By substituting the appropriate values into the integral and evaluating it, the volume of the torus can be calculated.

Note: The specific calculations to find the volume of the torus and the corresponding numerical result were not provided in the question, so the final answer in cubic units cannot be determined without further information.

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\(\rightarrow\) First side(a) of triangle = 17in.

\(\rightarrow\) Second side(b) of triangle = 13in.

\(\rightarrow\) Perimeter of triangle = 45in.

\(\rightarrow\)Third side of the triangle.

\(\rightarrow\) Perimeter of triangle = sum of all side(a+b+c).

\(\rightarrow\) Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)

\(\rightarrow\) \(\sf{45\: = \: 17+13+c}\)

\(\rightarrow\) \(\sf{45\: = \: 30+c}\)

\(\rightarrow\) \(\sf{45-30\: = \:c}\)

\(\rightarrow\) \(\sf{15in.\: = \: c}\)

Therefore, third side = 15in.

\(\rightarrow\)To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.

\(\rightarrow\) \(\sf{\frac{15}{12}}\)

\(\rightarrow\) \(\sf{1.25feet}\)

________________________________

Hope it helps you:)

Answer:

Side 3 = 1.25 feet

Step-by-step explanation:

Given :

To Find :

Solving :

In this question, we have been given a piggy bank contains 2.65$ in nickels and dimes. Then There are 29 nickels and 12 dimes in the piggy bank.

We need to find the number of nickels and dimes if the number of nickels is 7 less than three times the number of dimes.

Let x be the number of nickels and y be the number of dimes.

We know that, 1 dollar = 20 nickels

and 1 dollar = 10 dimes

So, we get an equation

0.05x + 0.1y = 2.65                   ...........(1)

Also the number of nickels is 7 less than three times the number of dimes.

x = 3y - 7                      .................(2)

Substitute above value of x in equation (1)

0.05(3y - 7) + (0.1)y = 2.65

0.15y - 0.35 + 0.1y = 2.65

0.25y = 2.65 + 0.35

0.25 y = 3

y = 12

Substitute above value of y in equation  (2)

x = 3(12) - 7

x = 29

Therefore, there are 29 nickels and 12 dimes in the piggy bank.

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a) Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = 3.315%

c) After tax cost of debt of 3.135% is more relevant.

Given:

FV = 100

Semiannual bond issued 3 years ago

Maturity = 27

Price, PV = 104

coupon rate = 4.5%

Tax rate = 22%

a) Semiannual bond issued 3 years ago

Maturity, n = 27 years × 2 = 54

Coupon C = 4.5%/2×100 = 2.25

Now,

Pretax cost of debt,

Cost of debt, I = [C+(FV-PV)/n] / (FV+PV)/2

= [2.25 +(100 - 104)/54] / [ 100+1040/2

= 2.12%

= 2.12×2

Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = cost of debt × (1-T)

= 4.25% × (1-22%)

After tax cost of debt = 3.315%

c) After tax cost of debt is more relevant.

Hence we get the required answer.

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Answer:

Step-by-step explanation:

Given the length of the park = L = 50m

breadth of the park = d = 30 m

for a rectangular field , diagonal d or length of the wall :

d^2 = l^2 +b^2

d^2 = 50 ^2 + 30^2

d^2 = 2500 +900

d^2 = 3400

d = sqr3400

d = 58.30

This means that the length of the wall is 58.3m

Answer:

this is a correct answer 5√6/2

Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.