Ken, the camp cook, makes 3 meals for every camper. The
equation y 3x shows the number of meals he makes,
which depends on the number of campers.
Select the graph with the correctly labeled axes for this situation.

The data distribution is skewed to the right.

The data distribution is skewed to the right. The correct option is C.

A Histogram is called Right Skewed when the frequency of the data is more for the lower values and few in the upper-value cells.

Right Skewed Histogram is also called Positively skewed.

The data is observed from the image and it can be seen that

The frequency of students having less distance from the school is more and there are few students who live far from the school.

Therefore, the data distribution is skewed to the right. The correct option is C.

The missing data distribution is attached with the answer.

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The area of the composite figure is 111 square units.

A composite figure is a 2D shape or figure that is made up of two or more simpler shapes or figures combined together. These simpler shapes can be any combination of polygons, circles, or other curves.

Composite figures are often formed when two or more basic shapes are put together to create a more complex shape. For example, a figure that consists of a rectangle and a triangle placed together is a composite figure.

To find the area of a composite figure like this, we can break it up into simpler shapes and then find the area of each shape and add them together.

First, we can see that the shape consists of three triangles and a rectangle:

Triangle 1: (0,3), (2,3), (2,7)

Triangle 2: (-7,7), (-7,6), (5,-6)

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

Rectangle: (-3,5), (0,3), (-7,7), (-7,6)

To find the area of each triangle, we can use the formula:

Area = 1/2 * base * height

For Triangle 1, the base is 2 - 0 = 2 and the height is 7 - 3 = 4. So the area is:

Area of Triangle 1 = 1/2 * 2 * 4 = 4

For Triangle 2, the base is 5 - (-7) = 12 and the height is 7 - (-6) = 13. So the area is:

Area of Triangle 2 = 1/2 * 12 * 13 = 78

For Triangle 3, we can see that it is a right triangle with sides of length 6, 6, and 8. So the area is:

Area of Triangle 3 = 1/2 * 6 * 8 = 24

To find the area of the rectangle, we can use the formula:

Area = length * width

The length is the distance between (-7,7) and (-7,6), which is 1. The width is the distance between (-7,7) and (-3,5), which is 5. So the area is:

Area of Rectangle = 1 * 5 = 5

Finally, we can add up the areas of all the shapes to get the total area:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Triangle 3 + Area of Rectangle

Total Area = 4 + 78 + 24 + 5

Total Area = 111 square units

Therefore, the area of the composite figure is 111 square units.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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answer is here about stem and leaf

Answer:

h < -2

Step-by-step explanation:

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

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The complete question is as shown in the following image

Answer:

25 + 9^3

Step-by-step explanation:

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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Answer:

a. -3

Step-by-step explanation:

-2 turns into 6 by multiplying it by -3.

the same from 6 to -18, from -18 to 54, ...

so, an/an+1 = -3

Answer:

Step-by-step explanation:

13) 8 - 6 + 4 = 2 + 4 = 6

14) 16÷(4-2)-3 = 16÷2 - 3 = 8 - 3 = 5

15) 3x + 5 = 17

3x = 17 - 5

3x = 12

x = 4 ≠ 2

b. solution is incorrect

16)4y - 7 = 3y - 4

4y - 3y = -4 + 7

y = 3

a. solution is correct

17) 2m - 3 < 4

2m < 4 + 3

2m < 7

m < 3.5

2 < 2.5, so a. number is a solution

18 ) 5 + 2n ≥ 12

2n ≥ 12 - 5

2n ≥ 7

n ≥ 3.5

0 is not greater than equal to 3.5, so b. number is not a solution

0.625

cross multifply then simplify the answer

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

Angular kinetic which is also referred to as  rotational energy is simply the kinetic energy due to the rotation of an object.

It is expressed mathematically as;

E = (1/2)Iw²

To solve for I, we first reorder the equation to bring the term containing I to the left side.

E = (1/2)Iw²

(1/2)Iw² = E

Multiply both sides by 2

2 × (1/2)Iw² = 2 × E

Iw² = 2 × E

Iw² = 2E

Now, divide both sides by the question of I.

Iw²/w² = 2E/w²

I = 2E/w²

Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

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The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function f(x) shown in the coordinate plane.

The function g(x) = f(2x)

As we can see in the new function g(x) it is the transformation of the f(x).

Transformation is applied as below:

x → 2x   (x is replaced by the twice of it)

= f(x)

= f(2x)

= g(x)

When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.

Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

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Answer:

\(y=2.182\)

Step-by-step explanation:

Solve for y.

\(3.082=y+\frac{9}{10}\)

Move all terms not containing \(y\) to the right side of the equation.

\(y=3.082-\frac{9}{10}\)

Write \(\frac{9}{10}\) as a decimal.

\(y=3.082-0.9\)

\(y=2.182\)

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The equation for the first option would be

Where "x" is the number of copies and y the cost.

The second equation will be

If we graph both equations we have

As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.

We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say

The number of copies is 2.

Answer:

Step-by-step explanation:

You want the 6 trig functions of the angle -5π/6.

The angle is in the 3rd quadrant, so all trig functions are negative except the tangent and cotangent. The reference angle is -5π/6 +π = π/6.

Since you have memorized the values of the trig functions for multiples of π/6, you know ...

  sin(-5π/6) = -1/2

  cos(-5π/6) = -√3/2

  tan(-5π/6) = sin/cos = √3/3

  csc(-5π/6) = 1/sin = -2

  sec(-5π/6) = 1/cos = -2√3/3

  cot(-5π/6) = 1/tan = √3

Answer/Step-by-step explanation:

Use a Unit Circle, you may have access to (hopefully) or have been asked to memorize.

To find -5pi/6 count clockwise the sixths to 5. Or add:

-5pi/6 + 2pi

= -5pi/6 + 12pi/6

= 7pi/6

-5pi/6 is the same as 7pi/6 on the Unit Circle.

Use the coordinates at that spot

(-root3/2 , -1/2)

to find the six trig ratios.

The Unit Circle is a big, giant, Answer Key. It has all the trig answers on it all in one place. It looks like a scary math pizza, but really its all the answers all in one place.

Once you find your angle, the sine is the y-coordinate.

sin theta = -1/2

The cosine is the x-coordinate.

cos theta = -root3/2

Tangent theta is the sine over the cosine, sin/cos,

= y/x

= (-1/2) / (-rt3/2)

Use Keep-Change-Flip to simplify this.

see image.

= root3/3

Sec is cos flipped over. Csc is sin flipped over. Cot is tan flipped over (the math word is reciprocal)

Yes, just flip over sin to get csc:

sintheta = -1/2

csctheta = - 2/1 = -2

Flip over cos to get sec:

costheta = -rt3/2

sectheta = 2/-rt3

Then rationalize, see image.

= -2rt3/3

Flip over tan to get cot.

tantheta = 1/rt3

Use a form that's easy to flip.

cottheta = rt3/1 = rt3

see image.

Answer:

U = 5

S = 4

1.) P(X>x) = 0.5

Prob = 1-0.5 = 0.5

We have z = 0, that is the z score with the probability of 0.5

X = u + z(s)

= 5+0*4

= 5

2.) 1-0.95 = 0.05

Z score having this probability

Z = -1.64

X = 5-1.64*4

= 5-6.56

= -1.56

3.) P(z<1.0) - p(X<x) = 0.2

0.841345-0.2 = .641345

We find the z score given this probability

Z= 0.36

X = 5+0.36*4

= 5+1.44

= 6.44

4.) P(X<x)-P(Z<-.5)

0.95 = p(X<x)-0.308538

p(X<x) = 0.308538 + 0.95

= 1.258538

There is no x value here, given that the probability is more than 1.

5. 1-0.99/2 = 0.005

We get the z score value

= -2.58

U - 5 = 5-5 = 0

-x = 0-2.58(4)

X = 10.32

Answer:

15p

Step-by-step explanation:

Let's interpret the question bit by bit

Salvador wrote 15 letters to friends each month

=> 15 letters = 1 month

For p months in a row

let the total number of letters for p months be x

=> x letters = p months

Bringing the two statements together gives;

15 letters = 1 month

x letters = p months

Now, let's solve for x by cross-multiplying the above

x letters * 1 month = 15 letters * p months

x = \(\frac{15 letters * p months}{1 month}\)

x = 15p letters

Therefore, Salvador wrote a total of 15p letters for the p months.

113/32

Step-by-step explanation:

7 squared is 49, 4 cubed is 64, 2 to the 5th power is 32.

49 plus 64 is 113 divided by 32

3.53125

Step-by-step explanation:

7^2+4^3/2^5

= 49+64/32

= 113/32

= 3.53125

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:

Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026

The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.

To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.

The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the

The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.

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\(\huge\text{Hey there!}\)

\(\large\text{We cannot do much of nothing because we don’t have all the information}\\\large\text{to solve.. so we can just simply do process of elimination until we fully find}\\\large\text{the ANSWER you are trying to look for.}\)

\(\large\text{Given equation: 25b - 14b}\\\large\text{COMBINE your LIKE TERMS}\\\large\text{\underline{25b - 14b} = 11b}\\\large\text{So, we are looking for an equation that gives us \bf{11b}}\)

\(\large\text{Option A.}\downarrow\\\large\text{b(25 - 14)}\\\large\text{DISTRIBUTE: b(25) + b(-14)}\\\bullet\large\text{ Reverts to: 25b - 14b (our ORIGINAL EQUATION) so this can be}\\\large\text{equal to 11b}\\\\\large\text{Option A. could POSSIBLY be your ANSWER}\)

\(\large\text{Option B. }\downarrow\\\large\text{b(25 + 14)}\\\large\text{Distribute}\\\large\text{25(b) + 14(b)}\\\large\text{It DOES NOT revert to the original equation. It gives us: 25b + 14b}\\\large\text{If we COMBINE your LIKE TERMS in that equation. We would get: 39b}\\\large\bf{39b \neq 11b}\\\\\large\text{Option B is NOT your ANSWER}\)

\(\large\text{Options C and D CANNOT be your answers because Option C. is}\\\large\text{-11b and Option D. is -39b}\)

\(\boxed{\boxed{\large\text{To sum it all up, your ANSWER is: \bf{Option A. b(25 - 14)}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

0.0017784 m2

Step-by-step explanation:

Answer:

17,784 cm²

Step-by-step explanation:

\(3.42 \times 5.2 = \frac{342}{100} \times \frac{52}{10} = \frac{17784}{1000} = 17.784\)

The slope (m) and y-intercept (b) with the equation of the line in slope-intercept form are given as: m = 2 and b = 5 is y = 2x + 5; m = 3 and b = 5 is y = 3x + 5; m = 5 and b = 4 is y = 5x + 4.

If m represents the slope of a line and b represents its y-intercept, the equation of the line in slope-intercept form is written as: y = mx + b.

Where m = 2 and b = 5, the equation of the line would be expressed as: y = 2x + 5.

Where m = 3 and b = 5, the equation of the line would be expressed as: y = 3x + 5.

Where m = 5 and b = 4, the equation of the line would be expressed as: y = 5x + 4.

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Answer:

$17,559

Step-by-step explanation:

The present value of $2,500 per year for 10 years, discounted back to the present at 7 percent, is approximately $17,559.

Answer:

she runs 2 miles

Step-by-step explanation:

basic math