A line contains the points (8, 5) and (6, 15).

Mathematics

1 answer:

Olenka [21]2 years ago

3 0

Answer: -5

Step-by-step explanation:

The formula for calculating the slope of a line is given as :

m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}

$x_{1}$ = 8

$x_{2}$ = 6

$y_{1}$ = 5

$y_{2}$ = 15

substituting into the formula , we have

m = $\frac{15-5}{6-8}$

m = $\frac{10}{-2}$

m = -5

Therefore the slope is -5

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A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache

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Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1 be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

$H_{0}$ : p2=p1

$H_{a}$ : p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

$\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of high school teachers who were single ( $\frac{36}{180} =0.2$ )
p is the proportion of elementary teachers who were single ( $\frac{15}{100} =0.15$ )