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pychu [463]
3 years ago
5

On six book shelves there are 72 books per shelf. How many books are there altogether? If 1/3 of these are non-fiction, how many

fictional books are there?
Mathematics
1 answer:
Sonja [21]3 years ago
8 0
6*72= 432 There are 432 books all together.
1/3*432=144 there is 144 non-fiction books.
432-144= 288 there is 288 fiction books
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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
Select the correct answer.<br> Which statement is true?
dusya [7]

Answer:

third option is the correct

Step-by-step explanation:

A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like

  • f (x) = x3,
  • f (x) = x5,
  • f (x) = x7, ... are odd functions.
6 0
2 years ago
Read 2 more answers
The television station has received/A many complaints about/B
NARA [144]

<u>The television station has received/A many complaints about/B the clothing advertisements, which some/C viewers condemn to be/D </u><u>tasteless</u><u>. No error/E</u>

The correct option is D.

  • The television station has received many complaints about the clothing advertisements, which some viewers complained were tasteless.
  • Well, you could mean that  Writing Question is a 'trick one' .

What is a television station called?

  • Most often the term "television station" refers to a station which broadcasts structured content to an audience or it refers to the organization that operates the station.
  • A terrestrial television transmission can occur via analog television signals or, more recently, via digital television signals.

Learn more about television station

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6 0
2 years ago
Helppp me please...?.?)
butalik [34]
The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16
8 0
3 years ago
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Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

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  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
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