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3 years ago

How do you factor 5x+20?

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

$5x+20=5(x+4)$

ICE Princess25 [194]3 years ago

4 0

First, find the GCF of 5 and 20.
The GCF of 5 and 20 is 5.

Second, divide each number by the GCF.
5x/5=x
20/5=4

Finally put the GCF outside the parentheses and the number inside.
5(x+4)

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3 years ago

1200 people visited a museum. 240 of the visitors were children. what percent of the visitors were children?

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Answer:

20 percent

Step-by-step explanation:

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3 years ago

Read 2 more answers

1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)

Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that $\mu = 8, \sigma = 1.5$

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

$Z = \frac{9.5 - 8}{1.5}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

X = 6.5

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

$Z = \frac{6.5 - 8}{1.5}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

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2 years ago

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