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cupoosta [38]
3 years ago
10

A local park is adding a new 14 ft long slide to the playground. The vertical height of the slide is h. The distance from the bo

ttom of the stairs to the bottom of the slide needs to be 15 ft. Also, due to safety reasons, the slide must form a 30° angle with the ground, as shown belo
Mathematics
1 answer:
Luden [163]3 years ago
6 0
If a local park is adding a new 14 ft long slide to the playground, and the vertical height of the slide is H, then the correct answer to the following given statement or question above is 7 meters long.
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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes.z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447

We need to find the probability such that P(x>30)=P(z>0.447)=0.67

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0

P(x>30)=P(z>0)=0.5

Therefore, probability will be 0.50.


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3 years ago
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I don't understand how to do this problem. help ? ( number 13)
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5x- 10 = 20
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Answer:

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