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irina1246 [14]
3 years ago
6

Test scores for a standardized math test follow a normal distribution with a mean of 73 and a standard deviation of 8. a random

sample of 23 students took this math test. what is the probability that the average score of the 23 students falls above 75?
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Solution:

We are given:

μ=73,σ=8,n=8

We have to find P(Mean >75)

To find this probability, we need to find the z score:

z=(xbar-μ)/(σ/sqrt(n))

=(75-73)/(8/sqrt(23))

=1.20

Now we have to find P(z>1.20)

Using the standard normal table, we have:

P(z>1.20)=0.1151

Therefore the probability that the average score of the 23 students falls above 75 is 0.1151

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The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx         (1)

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