Help with this question please! Photo provided (please show some steps)

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

as the picture shows, TW is twice RZ, or TW=2(RZ)

if you plug the equations in for the line, you will get:

(5x-20)=2(2x+5)

Then you solve:

5x-20=2(2x+5)

5x-20=4x+10

add 20 to each side

5x-20+20=4x+10+20

5x=4x+30

subtract 4x from each side

5x-4x=4x-4x+30

x=30

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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 question, we have that:

$\mu = 7.45, \sigma = 1.52$