Which series of transformations take the graph of f(x)=4x+9 to the graph of g(x)=−4x+7 ?

2 answers:

alexandr1967 [171]2 years ago

5 0

It is "reflect the graph about the x-axis and translate 2 units up" because the negative in front of the four flips everything over the x axis and 9-7 = 2, which means it moves up the y axis 2 units.

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serg [7]2 years ago

3 0

The answer is A. reflect the graph about the y-axis and translate 2 units down

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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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:

$\mu = 4.84, \sigma = 0.05$