Walt collected random samples of data on the number of people who eat at who
restaurants daily. He created two dot plots to represent his data. Find the degree of
overlap and the mean of the two data sets. Write a paragraph, using the RACE
format, explaining how you got the answer.

Answer:

63.59 in²

Step-by-step explanation:

The formula to find the area of a square: a², where a is the side.

The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).

1) Find the diameter of the circle. The side of a square is the diameter.

a²

a = √81

a = 9

2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).

= 3.14 x 4.5²

= 3.14 x 20.25

= 63.585

3) Round off the result to the nearest hundredth.

= 63.59

The largest circle possible from the square piece of yellow felt material to create a sun for her art project is of area 63.585 square inches.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

According to the question

Square piece of yellow felt that has an area = 81 square inches

Now ,

Area of square of yellow felt =  81 square inches

⇒     [tex]Side^{2} = 81[/tex]

⇒      Side = ± 9      (where -ve 9 cannot be side )

⇒      Side =  9      

The largest circle possible from the material is

where, side of square = diameter of circle  ( figure attached )

        ⇒  9   = diameter of circle

       ⇒   9 = 2r

       ⇒   [tex]\frac{9}{2}[/tex] = r or  r = 4.5

Area of circle = [tex]\pi r^{2}[/tex]

                      =  3.14 * 4.5 * 4.5

                     = 63.585 square inches.

Hence, Area of the largest circle cut from the  square piece is of 63.585 square inches.

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If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Quarters are worth .25 of a dollar

10 x .25 = 2.5

Dimes are worth .10 of a dollar

17 x .10 = 1.7

Nickels are worth .05 of a dollar

40 x .05 = 2

Pennies are worth .01 of a dollar

15 x .01 =  0.15

Add this together

2.5 + 1.7 + 2 + 0.15

= 6.35

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The bottom figure, answer A

D has infinite lines of symmetry

B can be split from top left to bottom right, as well as from the top right corner to the bottom left corner

C can be split from left to right and top to bottom

A can only be split from left to right, as the sides aren’t equal to each other

Answer:

4:10

simplify = 2:5

The circle can be illustrated by its equation, and the equation that represents the circle is (x + 4)² + (y - 9)² = 5²

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Hence, the equation that represents the circle is (x + 4)² + (y - 9)² = 5²

Read more about circle equations at:

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Answer:

B on edge

Step-by-step explanation:

(x + 4)^2 + (y – 9)^2 = 25

Answer: 1. Not dependent 2.2.Not dependent 3. Not dependent 4. Not dependent 5. Choosing marble without replacement is dependent

Step-by-step explanation: if you concert the decimals to fractions in each question, they are not related

Answer:

I'm pretty sure it's both, but I can see this is a summative exam/test so I'm really sorry if it's wrong.

Answer: 1) 4%/40% 2)4%/40% 3)5%/50% 4)4%/40%

Step-by-step explanation:

i think those are the answers

Answer: 125 degrees

Step-by-step explanation:

Answer:

Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.

...

Polynomials: YES or NO

3x½ NO - exponent is not a whole number

2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

Answer:

4

Step-by-step explanation:

All you need to do is plug in each value for x & then solve the equation to see if it equals 7.  When a number, like 2, is next to an x you multiply the two of them.  So when you substitute a number for x, you multiply it by the 2.

2(3)-1= 5

2(4)-1= 7

2(5)-1=9

Answer:

2√5.

Step-by-step explanation:

Using the Pythagoras theorem

x^2 = (√10)^2  + (√10)^2

x^2 = 10 + 10

x^2 = 20

x = √20

= √4*√5

= 2√5

Answer:

1

Step-by-step explanation:

in this constellation the upper left vertex corresponds to the bottom right vertex. and the upper right vertex to the bottom left vertex.

so, the side x corresponds to the side x+2.

and, of course, the top side corresponds to the bottom side.

going from the small to the large triangle the scaling factor is 6/2 = 3/1 = 3.

therefore

3 × x = x + 2

3x = x + 2

2x = 2

x = 1

Answer:

ABD

Step-by-step explanation:

So

here

If hours be x

Question asked to plot a equation to calculate profit so all the expenses or loss should be deducted,here the constant loss is of 150 so 150 should be subtracted

The equation in slope intercept form

Answer:

d)  y = 30x - 150

Step-by-step explanation:

Let x = number of hours worked

Let y = profit earned

Profit is the amount left after expenses are deducted.

Given:

⇒ y = 30x

Given:

This is Terry's expenses, so we must deduct this amount from the amount he earns walking the dogs to calculate the final profit:

⇒ y = 30x - 150

Answer:

y=1/3x-11

Step-by-step explanation:

Perpendicular to y=-3x

Get the negative reciprocal to find your new slope

1/3x is our new slope

y=mx+b

Plug coordinates in:

-2=-3(-3)+b

-2=9+b

b=-11

AREA Fomula: A = πr²

where:

Find the Area of a 6 cm radius.

Solved:

CIRCUMFERENCE Formula: 2πr

where:

Find the Circumference of a 6 cm radius

Solved:

Answer:

1  1/5

Step-by-step explanation:

Answer:

To find out how much area he will paint, you will find the area of all 6 faces.

Each face is in the shape of a rectangle, so use A = lw as your formula.

Front/Back:  80 x 36 = 2880 square inches

                   2880 square inches x 2 = 5760 square inches

Right/Left Sides:  80 x 2 = 160 square inches

                          160 square inches x 2 = 320 square inches

Top/Bottom:   36 x 2 = 72 square inches

                    72 square inches x 2 = 144 square inches

5760 + 320 + 144 = 6224 square inches.

Cody will paint 6224 square inches.

Hope this helps!

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

Answer:

1st blank or 2nd

Step-by-step explanation:

Answer:

2) 4+36x

4) 18m+20

6) -8b-32

8) -6x-24

10) 24p-28

12) 5x+45

Step-by-step explanation:

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

[tex]\rm h(t) = x + ut+\frac{1}{2} gt^2[/tex]

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

[tex]\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2[/tex] ....(1)     [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

[tex]\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2[/tex]  ....(2)

Equate the equation (1) and equation (2), we get

[tex]\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\[/tex]

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

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Answer:

1

Step-by-step explanation:

6 times (-1)^2 is just 6 so 6-5=1

Using a system of equations, the expression or the number of touchdowns he scored in his second year is: 2(t - 1)

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In his first year, he scored t touchdowns. In the second, the amount was two less than twice the number of touchdowns he scored in his rookie year, hence the expression is:

2t - 2 = 2(t - 1)

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Answer:

768

Step-by-step explanation:

I hope you mean this, if you don't say so