The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day.

Which statement is supported by the information in the dot plots?


A) The mean of the data for Store 1 is greater than the mean of the data for Store2
B) The mode of the data for Store 2 is greater than the mode of the data for Store1
C) The median of the data for Store 2 is greater than the median of the data for Store1
D) The range of the data for Store 1 is greater than the range of the data for Store2

Answer:

(a) and (b)

[tex]f(g(x)) = g(f(x)) = x[/tex]

(c) and (d)

[tex]f(g(x)) =-x + 8[/tex]

[tex]g(f(x)) = x + 8[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Find f(g(x)) and g(f(x)) for each pair

For (a) and (b), we have:

[tex]f(x) = \frac{3}{x}[/tex]

[tex]g(x) = \frac{3}{x}[/tex]

Calculate f(g(x))

[tex]f(x) = \frac{3}{x}[/tex]

[tex]f(g(x)) = \frac{3}{g(x)}[/tex]

Substitute 3/x for g(x)

[tex]f(g(x)) = \frac{3}{3/x}[/tex]

Rewrite as:

[tex]f(g(x)) = 3/\frac{3}{x}[/tex]

[tex]f(g(x)) = 3*\frac{x}{3}[/tex]

[tex]f(g(x)) = x[/tex]

Since f(x) = g(x), then:

[tex]f(g(x)) = g(f(x)) = x[/tex]

For (c) and (d)

[tex]f(x) =x + 4[/tex]

[tex]g(x) =-x + 4[/tex]

Solving f(g(x)), we have:

[tex]f(x) =x + 4[/tex]

[tex]f(g(x)) =g(x) + 4[/tex]

Substitute [tex]g(x) =-x + 4[/tex]

[tex]f(g(x)) =-x + 4 + 4[/tex]

[tex]f(g(x)) =-x + 8[/tex]

Calculating g(f(x))

[tex]g(x) =-x + 4[/tex]

[tex]g(f(x)) = -f(x) + 4[/tex]

Substitute: [tex]f(x) =x + 4[/tex]

[tex]g(f(x)) = x + 4 + 4[/tex]

[tex]g(f(x)) = x + 8[/tex]

You are cheating. I see this is a test.

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

Answer:

3 3/4

Step-by-step explanation:

3.75 square ft per hr.

5/8 x 6 = 3.75

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

$750

Step-by-step explanation:

We can set up the equation 30x + 50y =  z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.

After plugging in the x and y values to solve for z, we are left with the following equation:

30(15) + 50(6) = 750

Answer:

33 total flowers are in the bouquet Mr Rodriguez bough

Step-by-step explanation:

So for every 4 roses there are 7 carnations meaning the ratio is 4:7

4 times x = 12

x=3

So we do the same for carnations

7 x 3 = 21

Now we add to find the total

21+12=33

33 total flowers

Answer:

I'm confused what the question is. I think you might have attached the wrong picture

Answer:

1/4 or 12*

Step-by-step explanation:

There are 8 possibilities.  2 of them are 6.

2/8=1/4

1/4 of 48 is 12

*The theoretical probability doesn’t change no matter how many times you spin the spinner.  It will always be 1/4.  (Or 0.25, or 25%). That could be what they’re asking.  If you spun it 48 times, it would probably land on a six 12 times.  That could also be what they’re asking for.  12:48 = 1:4.

Answer:

it is a triangular prism

8/100*796.25

=63.7%

Answer:63.7%

Answer: Hello, there! your Answer is below

63.7 would Be the correct answer

Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU

how to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

the answer for your question is 0.0137

Answer:

You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts

Step-by-step explanation:

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Answer:

Answer: a = 140°, b = 40° and c = 140°

Step-by-step explanation:

Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.

Answer:

26600 - 33 = 26566

Step-by-step explanation:

sum

Answer:

17,420

Step-by-step explanation:

you multiply 26,000 by .33 which gets 8,580

then subtract 8,580 from 26000 which is 17420

Answer:

1. Add 3

2. Multiply 4

Step-by-step explanation:

Given

[tex](1)\ 1, 4, 7, 10, 13[/tex]

[tex](2)\ 2, 8, 32, 128, 512[/tex]

Required

The rule

[tex](1)\ 1, 4, 7, 10, 13[/tex]

This is a linear function because successive terms have a common difference

The common difference between each term is:

[tex]d = 4 - 1 = 3[/tex]

[tex]d = 7 - 4 = 3[/tex]

[tex]d = 10 - 7 = 3[/tex]

[tex]d = 13 - 10 = 3[/tex]

The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Add 3

[tex](2)\ 2, 8, 32, 128, 512[/tex]

This is a geometric function because successive terms have a common ratio

The common ratio between each term is:

[tex]r = 8/2 = 4[/tex]

[tex]r = 32/8 = 4[/tex]

[tex]r = 128/32 = 4[/tex]

[tex]r = 512/128 = 4[/tex]

The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Multiply 4

Answer:

30% ywww

Step-by-step explanation:

x+11.95≤30

Then x≤30−11.95x≤30−11.95

x≤18.05x≤18.05Answer:

Step-by-step explanation:

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

Answer:

thank you very much, this will be of much help

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

Answer:

Option B

[tex]A'(5,5)[/tex]

[tex]B'(5,1)[/tex]

[tex]C'(2,1)[/tex]

[tex]D'(1,5)[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

The length of the longer side is:

The area of the quilt is:

Step-by-step explanation:

sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2

Answer:

84 ft^2

Step-by-step explanation:

[tex] \frac{7 + 24 + 25}{2} = 28[/tex]

The area is:

[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]

[tex] = 84 \: {ft}^{2} [/tex]