Find the geometric mean of 4 and 18.

candy bars are sold at a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense

Westkost [7]

Answer:

2000 bars, or $1200

Explanation:

Let x represent the number of candy bars that are sold. Since they are sold for $0.60 each, this gives us the expression

0.60x

to represent the profit.

The factor has $0.10 per candy bar additional expense; this gives us the expression

0.10x.

However the factory also has $1000 fixed costs; this gives us

0.10x + 1000

to represent the costs.

The break-even point is the point where these two expressions are equal; this gives us the equation

0.60x = 0.10x + 1000

Subtract 0.10x from each side:

0.60x - 0.10x = 0.10x + 1000 - 0.10x

0.50x = 1000

Divide both sides by 0.50:

0.50x/0.50 = 1000/0.50

x = 2000

The break-even point is 2000 candy bars, which would sell for

0.60(2000) = $1200

3 0

3 years ago

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PLEASE HELP ME<br><br> PLEASE BE CORRECT WHEN ANSWERING

lisabon 2012 [21]

9514 1404 393

Answer:

1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths.

B'C' = 1 unit

BC = 3 units

The scale factor is B'C'/BC = 1/3.

_____

<em>Additional comment</em>

The center of dilation in this figure is 3 units below D' on the same vertical line. (It is 1 unit off the bottom of the grid shown.)

6 0

3 years ago

0.7 is 0.5% of what number?

anygoal [31]

...............140...............

8 0

3 years ago

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The square rout of 7

____ [38]

Answer:

2.6457513111

Step-by-step explanation:

when seven is put into the square root it doesn't come out perfectly even instead it comes out as a decimal

3 0

4 years ago

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Researchers would like to know the mean body temperature of runners at the completion of a marathon. They plan to take a random

sasho [114]

Answer:

They would know a and b.

a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

a. The value of the mean of the sampling distribution of the sample mean.

The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. The approximate shape of the sampling distribution of the sample mean.

Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. The standard deviation of the sampling distribution of the sample mean.

To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

5 0

3 years ago