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tensa zangetsu [6.8K]
3 years ago
12

Number of whole numbers between 45 and 69 is _________ . (a) 31 (b) 23 (c) 25 (d) 28

Mathematics
2 answers:
tatiyna3 years ago
8 0

The number of whole number is 23 through subtracting the numbers. hope it helps ☺️

Diano4ka-milaya [45]3 years ago
4 0

Answer:

( b ) 23

Step-by-step explanation:

69 - 45 - 1

= 69 - 46

= 23

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The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 mi
Orlov [11]

Answer:

a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

Step-by-step explanation:

Problems of normally distributed distributions 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.

In this question, we have that:

\mu = 51200, \sigma = 8200

Probabilities:

A) Between 55,000 and 65,000 miles

This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So

X = 65000

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

Z = \frac{65000 - 51200}{8200}

Z = 1.68

Z = 1.68 has a pvalue of 0.954

X = 55000

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

Z = \frac{55000 - 51200}{8200}

Z = 0.46

Z = 0.46 has a pvalue of 0.677

0.954 - 0.677 = 0.277

0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.

B) Less than 48,000 miles

This is the pvalue of Z when X = 48000. So

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

Z = \frac{48000 - 51200}{8200}

Z = -0.39

Z = -0.39 has a pvalue of 0.348

0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.

C) At least 41,000 miles

This is 1 subtracted by the pvalue of Z when X = 41,000. So

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

Z = \frac{41000 - 51200}{8200}

Z = -1.24

Z = -1.24 has a pvalue of 0.108

1 - 0.108 = 0.892

0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.

D) A lifetime that is within 10,000 miles of the mean

This is the pvalue of Z when X = 51200 + 10000 = 61200 subtracted by the pvalue of Z when X = 51200 - 10000 = 412000. So

X = 61200

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

Z = \frac{61200 - 51200}{8200}

Z = 1.22

Z = 1.22 has a pvalue of 0.889

X = 41200

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

Z = \frac{41200 - 51200}{8200}

Z = -1.22

Z = -1.22 has a pvalue of 0.111

0.889 - 0.111 = 0.778

0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean

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Answer:

For finding the missing angle in a equation you just subtract the total degrees to the given angle.

Step-by-step explanation:

For a complementary angle you would subtract the given angle from 90 and the result is the missing angle. .

For a supplementary angle you would just subtract the given angle from 180 and the result is the missing angle.

If you have any questions feel free to ask in the comments. - Mark

Please mark brainliest when you have the chance.

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A store charges $280 for a coat. This price is 40 percent more than the amount it cost the store to buy the coat. At the end-of-
Tasya [4]
So 280=1.4x so 280/1.4 is 200  .7*200 is 140 so $140
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Write the equation of the line that has a slope of 2 and passes through the point (-3,4).
dalvyx [7]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Data

slope = m = 2

Point (-3, 4)

Process

1.- Substitute the data in the line equation

                     y - y1 = m(x - x1)

                     y - 4 = 2 (x + 3)

2.- Expand

                     y - 4 = 2x + 6

3.- Solve for y and simplify

                     y = 2x + 6 + 4

                     y = 2x + 10

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3 years ago
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