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3 years ago

PLEASE HELP!! WILL GIVE BRAINIEST!!! Please solve #7 and #8.

Mathematics

2 answers:

lawyer [7]3 years ago

8 0

7)
slope = (1+3)/(-1+10) = 4/9

y = mx + b
1 = 4/9(-1) + b
b = 1 + 4/9
b = 13/9
equation
y = 4/9x + 13/9

answer is D.y = 4/9x + 13/9

8)
y = 3x - 3
perpendicular so slope = -1/3

passing thru (-7, 9)
equation
y - 9 = -1/3(x +7)

answer is D. y - 9 = -1/3(x +7)

sukhopar [10]3 years ago

3 0

The answer to 7 is:y = (4/9)x + (13/9).
The answer to 8 is B, I think.

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

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Answer:

0.13% of students have scored less than 45 points

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:

$\mu = 60, \sigma = 5$

About what percent of students have scored less than 45 points?

This is the pvalue of Z when X = 45. So

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

$Z = \frac{45 - 60}{5}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0013

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