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dusya [7]
3 years ago
6

The average person in the United States drinks 767 cups of coffee annually. How many quarts of coffee is that? Show your work. (

do not comment if you do not know or I will report )
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer: 191.75 quarts.

Step-by-step explanation:

We know that:

1 quart = 4 cups.

Then:

1 cup = 1/4 quarts.

this means that 1 cup, is equal to 1/4 quarts.

Then 767 cups is equal to 767 times 1/4 quarts.

The change of units is simply:

767 cups = 767*( 1/4 quarts) = 191.75 quarts.

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Nadya [2.5K]

Answer:

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Step-by-step explanation:

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2 years ago
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Factor the quadratic by checking factor pairs.<br> -15x2 – 21x + 18<br> -15x2 – 218 + 19 = -3
d1i1m1o1n [39]

Answer:

-3(x + 2)(5x - 3)

Step-by-step explanation:

-15x² – 21x + 18

-3(5x² + 7x - 6)

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-3(x + 2)(5x - 3)

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3 years ago
A market research team compiled the following discrete probability distribution, where X represents the number of automobiles ow
rodikova [14]

Answer:

The standard deviation of X is 0.7

Step-by-step explanation:

We are given the following distribution:

    x:     0        1         2       3    

P(x):    0.3     0.5     0.2     0.4

We have to find the standard deviation of X.

Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\\\E(x) =0(0.3) + 1(0.5) + 2(0.2) + 3(0.4)\\\\E(x) = 2.1\\\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(x^2) =0(0.3) + 1(0.5) + 4(0.2) + 9(0.4)\\\\E(x^2) = 4.9\\\\Var(x) = E(x^2) - (E(x))^2 = 4.9-(2.1)^2 = 0.49\\\\\sigma(x) = \sqrt{Var(x)} =\sqrt{0.49} = 0.7

Thus, the standard deviation of X is 0.7

6 0
3 years ago
What is 2/r=12/18?<br> Chcjcjxjxkxkx
Alexeev081 [22]

Answer: r = 3

Step-by-step explanation:

Step 1: Cross-multiply.

2r = 12/18

(2)*(18)=12*r

36=12r

Step 2: Flip the equation.

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Step 3: Divide both sides by 12.

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3 years ago
What is the solution set? Enter your answer in the box
Xelga [282]

Answer:

x>3

The solution set is (3, infinite)

Step-by-step explanation:

we have

5.5x+15.5>32

Solve for x

Subtract 15.5 both sides

5.5x+15.5-15.5>32-15.5

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