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3 years ago

USE ALL THE WORK IT TAKES TO SOLVE THIS PROBLEM

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

x^2 + 2x = 3x+20

-3x

x^2 - 1x = 20

- 20

x^2 -1x -20=0

(x-5)(x+4)

x-5 =0 or x+4=0

x = 5 or x= -4

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A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

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More can be learned about the normal distribution at brainly.com/question/24663213

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2 years ago

A taxi costs 1.65 for the first mile and 0.85 for each additional mile. Which equation could be solved to find the number x of a

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