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Rainbow [258]
3 years ago
12

A helicopter makes a round trip flight that lasts 4.5 hrs. if the average rate out was 80 miles per hour and the average rate in

was 100 miles per hour. what was the helicopters greatest distance from the airport?
Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

Let d = the one-way trip

Write a time equation: time = dist/speed

time out + time back = 4.5 hrs

d/80 + d/100 = 4.5

Multiply by 400 to clear the denominators

400*d/80 + 400*d/100 = 400(4.5)

Cancel the denominators

5d + 4d = 1800

d = 1800/9

d = 200 miles max distance

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Hope this helps~


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2 years ago
Read 2 more answers
Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai
ss7ja [257]

Answer:

The probability that the plane is oveloaded is P=0.9983.

The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.

Step-by-step explanation:

The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.

If the plane is full, we have 41 men in the plane. This is our sample size.

The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.

So the mean of the sample is 180.5 lb (equal to the population mean).

The standard deviation is:

\sigma=\frac{\sigma}{\sqrt{N}} =\frac{38.2}{\sqrt{41}}=\frac{38.2}{6.4} =5.97

Then, we can calculate the z value for x=163 lb.

z=\frac{x-\mu}{\sigma}=\frac{163-180.5}{5.97}=\frac{-17.5}{5.97}=   -2.93

The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017

P(\bar X

Then the probability that the plane is oveloaded is P=0.9983:

P(overloaded)=1-P(X

The pilot should take out the baggage or have less passengers in the plain to not overload.

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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given triangles are congruent by :

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because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

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