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2 years ago

Select the correct answer.

Mathematics

2 answers:

solong [7]2 years ago

6 0

<h3>Answer: g(x) = f(x) + 9</h3>

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Explanation:

Replace f(x) with y. This is valid because both represent outputs of a function. This means f(x) + 9 is the same as y+9, which means "move every point up 9 units".

For instance, the point (1,1) turns into (1,10) after moving it up 9 units. Here we added 9 to the y coordinate while keeping the x coordinate the same. You can write the translation rule as $(x,y) \to (x, y+9)$

ratelena [41]2 years ago

3 0

Answer:

b. g (x) = 9f (0)

Step-by-step explanation:

hope it help

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Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.

Annette [7]

Answer:

Binomial probability, with $n = 5, p = 0.352$

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

His average was 0.352.

This means that $p = 0.352$

Assume he has five times at bat tonight in the Red Sox-Yankees game.

This means that $n = 5$

a. This is an example of what type of probability

Binomial probability, with $n = 5, p = 0.352$

8 0

3 years ago

If 4 people can stain a deck in 2 days, how many people would be required to stain the deck in only 1 day?

Andre45 [30]

8 people could stain a deck in one day.

5 0

3 years ago

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Simplify -3p3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p3). Select the answer in descending powers of p.

BigorU [14]

-3p^3 + 5p -2p^2 - 4 - 12p + 5 + 8p^3
5p^3 - 2p^2 - 7p + 1

It is the second choice

7 0

3 years ago

Find each product 3/5 of 10

Setler [38]

3/5*10 is the same as 3/5*10/1 and it should be 30/5 which is the same as 6.
So, 3/5*10 is 6

6 0

3 years ago

Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-

joja [24]

Answer:

a) 9.18% f the New York City commutes are for less than 29 minutes.

b) 26.39% are between 29 and 36 minutes.

c) 67.55% are between 29 and 44 minutes

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:

$\mu = 38.7, \sigma = 7.3$

What percent of the New York City commutes are for less than 29 minutes?

This is the pvalue of Z when X = 29.

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 9.18% f the New York City commutes are for less than 29 minutes.

What percent are between 29 and 36 minutes?

This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.

X = 36

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

$Z = \frac{36 - 38.7}{7.3}$

$Z = -0.37$

$Z = -0.37$ has a pvalue of 0.3557.

X = 29

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.

What percent are between 29 and 44 minutes?

This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.

X = 44

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

$Z = \frac{44 - 38.7}{7.3}$

$Z = 0.73$

$Z = -0.37$ has a pvalue of 0.7673.

X = 29

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes

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3 years ago