Fill out the chart please!

The dot plot and the box plot shown both represent Manuel’s data. Determine which visual display is more useful for answering each of the questions listed in the table, and explain your reasons.

The ratio of the area of sector abc to the area of sector dbe is 4/3

For sector abc, we have:

Angle = x

Radius  = 2r

For sector dbe, we have:

Angle = 3x

Radius = r

The area of a sector is:

[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]

So, we have:

[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]

Evaluate

[tex]ABC =\frac{x* \pi r^2}{90}[/tex]

For DBE, we have:

[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]

Evaluate

[tex]DBE =\frac{x}{120}* \pi r^2[/tex]

The ratio of both areas is:

[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]

Cancel out the common factors

[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]

Express as fraction

[tex]Ratio = \frac{120}{90}[/tex]

Divide

[tex]Ratio = \frac{4}{3}[/tex]

Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3

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4/3

its the answer edmentum

Answer:

Step-by-step explanation:

Answer:

by solving the divisions

Step-by-step explanation:

8/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.

now from the solutions you can get the least to greatest

1.40 , 2.96, 5.28 and 23.75

After getting answer in decimal form change it to fraction like how they set the question

Answer:

alternate exterior angles

Step-by-step explanation:

<3 i hope this helps! sorry if it doesnt :)

[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]

Answer: A

Step-by-step explanation: took the test, got it right.

Answer: 32

Step-by-step explanation: this is arithmetic sequence

general formula = a+(n-1)d

nth term = 5+(n-1)3

=5+3n-3

=2+3n

10th term = 2+3(10)

=32

The value of x must be 25.0. The correct option is the second option-  25.0

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

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Answer:

25.0

Step-by-step explanation:

just took it

\

Answer:

17 i think im like 30 pecent sure

Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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Answer:

C

Step-by-step explanation:

14 + w is the same as w + 14

Answer:

C.  w + 14.

Step-by-step explanation:

The order does not matter when you are adding terms.

this is called the Commutative Property of Addition.

Answer:

i dont know bc its not the complete expression

Step-by-step explanation:

Answer:

Pretty certain it's 100



It will take 32 minutes for the population to grow from 1,000 to 32,000.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If the population of an alien race doubles every two minutes,

1,000 x 32 = 32,000

Hence, It would take 32 minutes.

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Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

Answer:

y=2x+4

Step-by-step explanation:

From(0,4)

Equation in slope intercept form

y = (1/3)x+10

=============================================================

Explanation:

x = number of minutes of the original flight

Because the pilot travels 3 times faster than before, it means she travels 1/3 of the original time. If she took x minutes on the original flight, then she will take (1/3)x minutes for the new faster flight.

Then add on the 10 minute delay to end up with (1/3)x+10

Answer:

Step-by-step explanation:

1/2 chance for 1

1/4 for 2

1/8 for 3

1/16 for 4

1/32 for 5

1/64 for 6

1/128 for 7

1/256 for 8

1/512 for 9

1/1024 for 10

Answer:

52

Step-by-step explanation:

Two triangles are similar

m<B = m<E

m<C = m<D

m<A = m<F

now, the sum of interior angles in a triangle is equal to 180

angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:

40 + 88 + m<F = 180 add like terms

128 + m<F = 180 subtract 128 from both sides

m<F = 52

Considering the situation described, the confidence interval is given by:

(0.35, 0.51).

It is given by the estimate plus/minus the margin of error.

For this problem, we have that:

Then, the bounds of the interval are given by:

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Answer:

Hi,

Step-by-step explanation:

Let say n the number of nickels

4*n the number of quaters.

Let's calculate in cents:

n*5+4*n*25=1260

5n+100n=1260

105*n=1260

n=12 (number of nickels)

4n=48 (number of quaters)

Proof: 12*5+48*25=1260

Answer is equation B

Answer:

The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.

Step-by-step explanation:

The exact length of a which is equivalent to BC is 7units

A triangle is a shape with 3 sides and angles. In order to determine the sides BC, we will use the cosine rule

c² = a² + b² - 2abcosC

Given the following parameters

b = 2

c = 5√3

theta = 30 degrees

Substitute

c² = 2² + (5√3)² - 2abcos30
c² = 4 + 75 - 2(2)(5√3)*√3/2

c² = 79 - 30
c² = 49
c = 7 units

Hence the exact length of a which is equivalent to BC is 7units

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Answer:

Step-by-step explanation:

Let μ - mean, σ - standard deviation.

A score of 30 falls three standard deviations below the mean:

A score of 60 falls three standard deviations above the mean:

Add up the two expressions and find the value of μ:

The mean is 45

The statistic that is most affected by the lowest score is A. the mean

The stem and leaf plot is missing from the question;

However, the question can be solved without it.

The lowest score on the stem and leaf plot is an outlier of the plot.

In statistics, outliers have huge effect on the mean of the dataset and they have little or no effect on the median and mode

This means that, the statistic that is most affected by the lowest score is A. the mean

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Answer:

f(2) = 1

(1) = 2

(f(2)) = 2

Step-by-step explanation:

f(x) = x

(x) = 2x

f(2) = (2)

f(2) = 1

(1) = 2(1)

(1) = 2

(f(2)) = 2((2))

(f(2)) = 2(1)

(f(2)) = 2

The function's solution is given as follows:

f(1) = 2

f(f(2)) = f(1) = f(1) = 1/2

A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.

The independent variable's value and the dependent variable's value both change in the function.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.

For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],

[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]

For the given function [tex]f^{-1}(x) = 2x[/tex],

[tex]f'(1) = 2(1) = 2[/tex]

Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]

The composition of functions to find f(f(2)):

[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]

Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].

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Answer:

No, they aren't the same (equivalent).

Step-by-step explanation:

First, solve for both equations:

Equation #1:  6x-6=3x

Simplifying

6x + -6 = 3x

Reorder the terms:

-6 + 6x = 3x

Solving

-6 + 6x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-6 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x

-6 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0

-6 + 3x = 0

Add '6' to each side of the equation.

-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 3x = 0 + 6

3x = 0 + 6

Combine like terms: 0 + 6 = 6

3x = 6

Divide each side by '3'.

x = 2

Simplifying

Equation #2: x-1=3x

Simplifying

x + -1 = 3x

Reorder the terms:

-1 + x = 3x

Solving

-1 + x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-1 + x + -3x = 3x + -3x

Combine like terms: x + -3x = -2x

-1 + -2x = 3x + -3x

Combine like terms: 3x + -3x = 0

-1 + -2x = 0

Add '1' to each side of the equation.

-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x = 0 + 1

-2x = 0 + 1

Combine like terms: 0 + 1 = 1

-2x = 1

Divide each side by '-2'.

x = -0.5

Simplifying