Tony is the staff manager of a movie theater, and he is trying to decide which shifts should have the greatest number of employees on staff. Over the course of a week, Tony recorded how many customers appeared during each shift, the results of which can be seen in the graph below.
A bar graph titled Customers in One Week has Shift Start Time on the x-axis and Number of customers on the y-axis. 10 a m, 121; 1 p m, 156; 4 p m, 378; 7 p m, 671; 10 p m, 458.
Tony wants the distribution of his employees to match the distribution of the customers. If Tony has 230 total employees, how many should he assign to the 1:00 p.m. shift?
a.
15
b.
20
c.
68
d.
156

Answer:

3/4

Step-by-step explanation:

To find the probability of landing on green, we have to divide the number of sections that are green by the total number of sections

we have this as:

6/8 = 3/4

Answer:

14 miles

Step-by-step explanation:

because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.

Total distance = 8 + 6 = 14 miles

Answer:

9 is the outlier

Step-by-step explanation:

Answer:

9 cakes

Step-by-step explanation:

An outlier is a piece of data that is largely different from the overall trend. When the data is graphed, the outliers lie far away from the trend line or cluster of points.

In this case, most of the points are plotted between {0} and {6} cakes. The value of {9} cakes lies far from the rest of the graphed data. So, 9 cakes is our outlier.

I hope this helps you ^^

Good luck :)

Answer:

Percentage of water consumed = 20 %

Equivalent amount of water to 100 ounces = 20 ounces

Step-by-step explanation:

The total amount of water consumed by her daily = 70 ounces

The total amount of water consumed by her before ride = 14 ounces

Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100

Substituting the given values we get

[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%

Equivalent amount of water to 100 ounces = 20 ounces

Answer:

(a) The total area of compound figure is [tex]284.52ft^2[/tex].

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = [tex]\frac{12ft}{2} = 6 ft[/tex]

Part (a):

Now calculating the total area of the compound figure.

[tex]\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2[/tex]

Now putting all the given values in this formula, we get:

[tex]\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2[/tex]

Part (b):

Now calculating the total perimeter of the compound figure.

[tex]\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)[/tex]

Now putting all the given values in this formula, we get:

[tex]\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft[/tex]

Answer:

Translation

Step-by-step explanation:

Answer:

[tex]\sqrt{85}[/tex] or 9.21954

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]

d = distance

[tex](x_{1}, y_{1})[/tex] = coordinates of the first point

[tex](x_{2}, y_{2})[/tex] = coordinates of the second point

Answer:

r = 9 units

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

2 out of 100, 2, 0.02 out of 100, and 0.02

Step-by-step explanation:

Answer:

I feel as if its 0.0002

and 2%

Answer:

The answer is 36.9

Step-by-step explanation:

Answer:

113040.cm3

Step-by-step explanation:

the volume of air that beach ball hold will hold is

113050cm3.

I hope help you.

Answer:

The slope is 1 I believe.

Answer:

The Slope is 1

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

1

= 1

θ =  

arctan( ΔY )

ΔX

= 45° =  

1

4

π

ΔX = 7 – -3 = 10

ΔY = 6 – -4 = 10

Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731

Equation of the line:

y = x – 1

When x=0, y = -1

When y=0, x = 1

Answer:

DF≅YZ

angle R≅angle N

XW≅TH

angle M ≅angle C

new coordinate=(2,1)

new coordinate=(0,2)

Reflection:

new coordinate=(5,-6)

new coordinate=(1,4)

Last one is already done

Step-by-step explanation:

Answer:

w

Step-by-step explanation:

m

Answer:

population=12780

Step-by-step explanation:

7% of 9000 is 630

630 times 6 is 3780

9000 plus 3780 is 12780

Answer:

who friendhjcicivigigivigigogogig'g

Answer:

The answer is -21

Step-by-step explanation:

0.5(5 - 7x) = 8 - (4x + 16)

2.5 - 3.5x = 8 - 4x - 16

3.5x - 2.5 = 4x - 8 + 16

3.5x - 4x = 2.5 - 8 + 16

-0.5x = 10.5

x = 10.5/(-0.5)

x = -21

Thus, The answer is -21

-TheUnknownScientist

Step-by-step explanation:

[tex]\huge\mathcal\pink{here's your solution} \\ \\ 0.5(5 - 7x) = 8 - (4x + 16) \\ \\ 2.5 - 3.5x = 8 - 4x - 16 \\ \\ - 3.5x + 4x = - 8 - 2.5 \\ \\ 0.5x = 10.5 \\ \\ x = 10.5 \div 0.5 \\ \\ x = 21 \\ \\ \huge\mathfrak\purple{hope \: it \: helps..}[/tex]

Answer:

D

Step-by-step explanation:

3*3 =9

9*9*9*9= 6561

6561*6561*6561*6561=282429536481

Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481

Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

Learn  more about isosceles right angled triangle here:

https://brainly.com/question/27190025

#SPJ3

Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

v = π(3²)2

v = 18π   exact answer

V = 18 * 3.14 = 56.52    decimal approximation

Answer:

b

Step-by-step explanation:

it says range and that varies and is different so it hold the most variability I think

Answer:

12B

Step-by-step explanation:

B = number of boxes

12 donuts per box, multiply 12 by number of boxes to  find total donuts.

Answer:

1. 1.0044 x 10^-5 n

3. 9.28 x 10^-11

5. 4.757 x 10^-10

7. 3550000/41

^ = the power of

Answer:

1 question answer 10.044x20 steps 1.08x10*9.3x10  1.08*x10*9.3*x10

(1.08*9.3)*(x10*x10).  question 2 answer 9.28x20 steps 2.32x10*4x10

2.32*x10*4*x10

(2.32*4)*(x10*x10)

Step-by-step explanation:

Answer:

6°C

Step-by-step explanation:

-5 + 11 = 6

Answer:

mode is the highest occuring number

7342 none of the numbers appeared twice

: 7 is the highest occuring number

Answer:

-7/8 or 1/2 in simplest form

Step-by-step explanation:

Answer:

$55.50

Step-by-step explanation:

The rate is usually given as a percent.

Step 1: Multiply the rate by the original price.

[tex]75\% \times 222 = 166.5[/tex]

Step 2: Subtract the discount from the original price.

[tex]222 - 166.5 = 55.5[/tex]

Therefore, the sale price of that TV is $55.50