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mixer [17]
3 years ago
12

mark has 312 books in his bookcases she has 11 as many fiction books as nonfiction books how many fiction books does mark have?

Mathematics
2 answers:
belka [17]3 years ago
7 0
11 as many fiction books as non fiction.

Fiction books F,  Non Fiction NF

F: NF =  11 : 1

Total ratio 11+ 1 = 12.

Fraction of Fiction books F,  =  11/12

Total books = 312.

Fiction books  =     11/12 * 312 =  286

Fiction books = 286 
Naily [24]3 years ago
5 0
<span> 286 = answer

good homworks.</span>
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Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided
DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

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Looking at the z-table, z = 1.39 has a p-value of 0.9177.

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The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0
2 years ago
Find angle m and angle n
san4es73 [151]

Answer:

m∠M = 79°

m∠N = 66°

Step-by-step explanation:

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The sum of the measures of a triangle is 180.

So, m∠M + m∠N + m∠MPN = 180

5y + 4 + 4y + 6 + 35 = 180

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Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.

That means 5y + 4 + 4y + 6 = 145

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                         y = 15

From knowing the value of y you can now find the measures of angles M and N

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100 times 100 times 100 times 100 times 100 times 4000
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