Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Answer:

The school C shows the greatest rate of change between male and female students

Step-by-step explanation:

Let

x -----> the number of female students

y ----> the number of male students

we know that

The ratio of male students to female students is

$\frac{y}{x}$

we have

School A

$\frac{y}{x}=\frac{4}{1}=4$

School B

$\frac{y}{x}=\frac{4}{3}=1.33$ ----> the slope of the linear equation

School C

$\frac{y}{x}=\frac{1,260}{280}=4.5$

$4.5 > 4 > 1.33$

therefore

The school C shows the greatest rate of change between male and female students

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Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

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.

In this problem, we have that:

$\mu = 565, \sigma = 113$