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lina2011 [118]
3 years ago
15

Is a saving a variable or fixed expense

Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

fixed

Step-by-step explanation:

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Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c
Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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 = 162, \sigma = 8

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

Z = \frac{150 - 162}{8}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

Z = \frac{180 - 162}{8}

Z = 2.25

Z = 2.25 has a pvalue of 0.9878

X = 160

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

Z = \frac{160 - 162}{8}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

7 0
3 years ago
I NEED THIS ASAP about the Pythagorean
Natalija [7]

Answer: 24.49 or 24.5 if rounded.

Step-by-step explanation: We have to use the pythagorean theorem of course...

a² + b² = c²

15² + 20² = c²

225 + 400 = c²

600 = c²

\sqrt{600}

c = 24.49 (If we round to the nearest tenth then the answer is 24.5)

8 0
3 years ago
Marc-Andre Fleury made saves on 27 of the first 29 shots in the hockey game Find experimental probability that he will make a sa
JulsSmile [24]
Experimental probability is number of observed specific outcomes divided by the total number of observations...in this case the experimental probability of making a save is:

27/29≈0.931
8 0
3 years ago
yesterday, Linda traveled 128 miles to visit her uncle. Her car used for gallons of gasoline. If Linda's car uses gasoline at th
aliya0001 [1]

Answer:

Linda car will use 13.5 gallons

Step-by-step explanation:

8 0
2 years ago
If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?
nasty-shy [4]

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

5 0
3 years ago
Read 2 more answers
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