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Alchen [17]
3 years ago
13

Y-4=2.5(x+3) in standard form can someone please step by step explain??

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

-2.5x+y=11.5

Step-by-step explanation:

y-4=2.5(x+3)

distribute the 2.5 into the parenthesis

y-4=2.5x+7.5

add 4 to both sides

y=2.5x+11.5

now that it's in slope intercept form it will be easier to get into standard form

now subtract 2.5x from both sides

-2.5x+y=11.5

hope this helps you

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A set of exam scores is normally distributed and has a mean of 79.4 and a standard deviation of 11. What is the probability that
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Answer:

There is a 98.93% probability that a randomly selected score will be greater than 54.1.

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:

A set of exam scores is normally distributed and has a mean of 79.4 and a standard deviation of 11. This means that \mu = 79.4, \sigma = 11.

What is the probability that a randomly selected score will be greater than 54.1?

This probability is 1 subtracted by the pvalue of Z when X = 54.1.

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

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