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3 years ago

The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold

Mathematics

1 answer:

Fiesta28 [93]3 years ago

5 0

Answer:

whats the question

Step-by-step explanation:

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

3 years ago

When 60% of a number is added to the number, the result is 192. What is the number? Show your work.

Natali [406]

Let the original number be
x

x
×
160
100
=
192
. This indicates an increase of 60%

x
=
192
×
100
160

x
=
120

7 0

4 years ago

Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same r

Ganezh [65]

Answer:

The answer is: One loaf of bread contains one and halve cups of flour.

5 0

3 years ago

Read 2 more answers

How is the rangeof a set of data different from a IQR

Lady_Fox [76]

It is defined as the difference between the largest and smallest values in the middle 50% of a set of data<span>. To compute an </span>interquartile range<span> using this definition, first remove observations from the lower quartile. Then, remove observations from the upper quartile.</span>

3 0

3 years ago

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WILL GIVE BRAINLIEST AND 30 POINTS! Multiply the matrix representing the vertices of the rectangle to transform the figure. What

alina1380 [7]

Answer:

What are the coordinates of the resulting figure?

✔ (0, 0), (4, 0), (4, –4), (0, –2)

Step-by-step explanation:

its C on Edge

I just took this assignment and got it right

3 0

4 years ago

The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold​

The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold