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3 years ago

7

The owner of a small store buys coats for $60.00 each. she sells the coats for $ 72.00 each. What percent of the purchase pric

e is the sale price?
The sale price is *blank*% of the purchase price.

1 answer:

tekilochka [14]3 years ago

3 0

Answer:

Answer: 55% Step-by-step explanation: To find the percentage of the purchase price, simply divide the purchase price by the selling price and multiply it by 100. 50 90 0.55 0.55 * 100 = 55 This information is helpful to find a metric between supply and demand.

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2 years ago

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

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Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

$Z = \frac{X - \mu}{\sigma}$

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

$Z = \frac{X - \mu}{\sigma}$

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

3 years ago

For the given decimal −0.009, find the two integers closest to it.

asambeis [7]

Answer:

The two integers closest to -0.009 are -1 and 0

Step-by-step explanation:

we have the number

$-0.009$

Convert to fraction number

$-0.009=-\frac{9}{1,000}$

In a number line

$-\frac{1,000}{1,000} < -\frac{9}{1,000}$

Remember that

$-\frac{1,000}{1,000}=-1\\\frac{0}{1,000}=0$

so

$-1 < -\frac{9}{1,000}$

therefore

The two integers closest to -0.009 are -1 and 0

7 0

4 years ago