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3 years ago

Algebra 2 question , PLEASE HELP (picture) more than one answer is right

Mathematics

1 answer:

dybincka [34]3 years ago

8 0

G(x) = 20(1.5)^x
Using the graph we can figure out that:
f(x) = 15(2)^x

So does f(x) have a faster rate of change than g(x) on the interval (-5,-3). I used the rate of change formula, and saw that it does NOT.

f(x) and g(x) are always positive, so the second one is not true.

f(x) and g(x) are always increasing, so the third one is TRUE.

g(x) intercept is 20 and f(x) intercept is 15, so the fourth one is TRUE.

So the answer is C and D.

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand

LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

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:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

$\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158$

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

$Z = \frac{20.2 - 20}{0.158}$

$Z = 1.27$

$Z = 1.27$ has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

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