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lakkis [162]
3 years ago
15

Find the nonpermissible replacement for x in this expression

ormula1" title="\frac{1}{-8x}" alt="\frac{1}{-8x}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

  0

Step-by-step explanation:

It is not permissible for the denominator to be zero, so the "nonpermissible replacement" for x is 0.

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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.

6 0
3 years ago
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
vitfil [10]
A direct variation has a constant slope, i.e. (y/x)= constant.

Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
4 0
3 years ago
A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea
Taya2010 [7]

Answer:

15.1

Step-by-step explanation:

5 0
2 years ago
What is 89972 rounded by the 3rd significant number
BlackZzzverrR [31]

the answer is 90000 or 9e+4. hope I helped!

5 0
3 years ago
Which graph represents the function -2x - 5y = -10? <br> Please explain!!
damaskus [11]
The answer would be J because if the equation was transferred into a positive then it would be 2y and 5x marking 5x on the bottom and 2y vertically.
Hope this helps!!
6 0
3 years ago
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