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1 year ago

(-2,5) (2,-3) y=mx+bPlease help solve

Mathematics

1 answer:

ANEK [815]1 year ago

5 0

1) Since there are two points we need to find the slope, to begin with:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-5}{2-(-2)}=\frac{-8}{4}=-2$

Now, we can find the y-intercept by plugging one point (2,-3) into the slope-intercept form:

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A department store buys 100 shirts at a cost of $700 and sells them at a selling price of $10 each. Find the percent markup.

Serjik [45]

Answer:

42.8%

Step-by-step explanation:

Step one:

given data

A department store buys 100 shirts at a cost of $700

let us find the cost of 1 shirt

cost of 1 shirt= 700/100= $7 per shirt

The cost price per shirt = $7

We are given that the selling price = $10 per shirt

Step two:

The percent markup can be found as

percent markup= selling-cost price/cost price*100

percent markup= 10-7/10*100

percent markup= 3/7*100

percent markup= 0.428*100

percent markup= 42.8%

7 0

3 years ago

Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h

Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 200, \sigma = \sqrt{400} = 20$

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

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

$Z = \frac{150 - 200}{20}$

$Z = -2.5$

$Z = -2.5$ has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So $Z = 1.28$