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AURORKA [14]
3 years ago
15

25 The library has an empty bookcase with 4 shelves. Each shelf can hold 23 chapter þooks. If the library has 117 new chapter bo

oks, how many will not fit on the bookcase?.
Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Annette [7]3 years ago
6 0

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

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The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/
oee [108]

The z-score of the speed value gives the measure of dispersion of the from

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The given parameters are;

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The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

Z=\dfrac{x-\bar x }{\sigma }

Which gives;

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From the z-score table, we have;

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The z-score for a speed of 75 km/h is given as follows;

Z=\dfrac{75-60 }{5 } = 3

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

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The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

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