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Bingel [31]
2 years ago
14

What is the slope of a line that passes through the point (-3,0) and has a y-intercept of 12

Mathematics
1 answer:
Trava [24]2 years ago
7 0

The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.

<h3>How to find the slope of a line?</h3>

Using the point slope equation,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, using (-3, 0)

0 = -3m + 12

-12 = -3m

divide both sides by -3

m = -12 / -3

m = 4

learn more on slope here: brainly.com/question/17130155

#SPJ1

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The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

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

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

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The library has thirteen
dybincka [34]

Answer:

If the shelves  are 4/5 full, then the total number of books in the library is 1,040 books

Step-by-step explanation:

13 roll of bookcases

All the bookcases have four shelves

Total number of shelves = 4 x 13

                                        = 52 shelves

Each shelve holds 25 books each

Total number of books that can be in the shelves altogether = 52 x 25

                                                                                                    = 1,300 books

If the shelves  are 4/5 full, then the total number of books in the library is,

 4/5 x 1300

= 1,040 books

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Step-by-step explanation:

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Step-by-step explanation:

360

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