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2 years ago

12

If 3 dozen cookies require 1 cup of sugar, write a direct variation equation in two variables that represent this situation. Mak

e sure to define your variables.
use you're equation to solve for the number of cups of sugar needed for 10 dozen cookies.

1 answer:

PIT_PIT [208]2 years ago

5 0

Answer:

Step-by-step explanation:

10 multiply 1/3 makes three full cups. Fu*kin* idiot

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The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the int

rewona [7]

Answer:

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the population, we have that:

Mean = 0.5

Standard deviaiton = 0.289

Sample of 12

By the Central Limit Theorem

Mean = 0.5

Standard deviation $s = \frac{0.289}{\sqrt{12}} = 0.083$

The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.

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2 years ago

A cookie jar contains 2 chocolate chip cookies, 4 peanut butter cookies, and 3 sugar cookies. A child chooses one cookie at rand

marishachu [46]

Answer:

Peanutbutter 44%

Chocolate chip 22%

Step-by-step explanation:

5 0

2 years ago

Question is in picture.

Norma-Jean [14]

Answer:

<h2>B. 2x + y = 4</h2>

Step-by-step explanation:

Having the system of equations in its simplest form

$\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right$

If

$a=d,\ b=e,\ c=f$

then the system of equations has infinitely many solutions.

If

$a=d,\ b=e,\ c\neq f$

then the system of equations has no solution.

If

$a\neq d\ or\ b\neq e$

then the system of equations has one solution.

We have the equation

$y=-2x+4$

Convert to the standard form Ax + By = C<em>:</em>

<em /> $y=-2x+4$ <em> add 2x to both sides</em>

$y+2x=-2x+2x+4\\\\2x+y=4$

3 0

2 years ago

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles

Maslowich

Answer:

<h2>The area of the triangular base = 8 ft²</h2>

Step-by-step explanation:

The formula of a volume of a prism:

$V=A_BH$

$A_B-area\ of\ a\ base\\H-height$

We have

$V=72\ ft^3,\ H=9\ ft$

Substitute:

$72=9A_B$ <em>divide both sides by 9</em>

$8=A_B\to A_B=8\ ft^2$

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2 years ago

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A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?

Yuki888 [10]

60 miles because 2160 divided by 36 = 60

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2 years ago

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