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3 years ago

Cora charges $20 for each lawn she mows. However, she has to pay her father $12

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

$48

Step-by-step explanation:

Cora earns $20 for each lawn

She gives her father $12 EACH DAY for his lawn mower

In a day, she mows 3 lawns which is worth= 20*3= $60

but since it is in a day, she gives her father $12 for the day from the $60

Therefore, her final earning is, $60-$12= $48

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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

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

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 percentile of this measure.

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Mean 0.569 and standard deviation 0.068. So $\mu = 0.569, \sigma = 0.068$

a. What proportion of states would you expect to have more than 65% of their traffic fatali- ties from drunk driving?

This is the value of X when Z has a pvalue of 0.65.

Z has a pvalue of 0.65 between $Z = 0.38$ and $Z = 0.39$ . So, we use $Z = 0.385$

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$0.385 = \frac{X - 0.569}{0.068}$

$X - 0.569 = 0.068*0.385$

$X = 0.59518$

The proportion of states would you expect to have more than 65% of their traffic fatalities from drunk driving is 0.59518.

b. What proportion of deaths due to drunk driving would you expect to be at the 25th percentile of this distribution?

This is the value of X when Z has a pvalue of 0.25.

Z has a pvalue of 0.65 between $Z = -0.67$ and $Z = -0.68$ . So, we use $Z = -0.675$

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$-0.675 = \frac{X - 0.569}{0.068}$

$X - 0.569 = 0.068*(-0.675)$

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The 25th percentile of this distribution is a 0.5231 proportion of deaths due to drunk driving.

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