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worty [1.4K]
4 years ago
11

If you vertically stretch the quadratic parent function, f(x) = 2^x, by a factor of 3, what is the equation of the new function?

Mathematics
1 answer:
harina [27]4 years ago
6 0

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

g(x)=3\cdot2^x

Hope this helps.

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The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
Setler [38]

Answer:

D. $275

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 problem, we have that:

\mu = 235, \sigma = 20

According to the standard deviation rule, almost 2.5% of the students spent more than ... on textbooks in a semester:

This is the value of X when Z has a pvalue of 1-0.025 = 0.975. So it is X when Z = 1.96[/tex]

So

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

1.96 = \frac{X - 235}{20}

X - 235 = 20*1.96

X = 274.2

So the correct answer is:

D. $275

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