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kkurt [141]
3 years ago
11

A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate

of the jet in still air and what is the rate of the wind
Mathematics
1 answer:
Kryger [21]3 years ago
8 0

9514 1404 393

Answer:

  • jet: 650 mph
  • wind: 65 mph

Step-by-step explanation:

The speed against the wind is ...

  4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

  5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

  (585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

  715 -650 = 65 mi/h . . . speed of the wind

_____

<em>Additional comment</em>

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

  p + a = with

  p - a = against

If we average these, we get ...

  ((p +a) +(p -a))/2 = (with + against)/2

  p = (with + against)/2 . . . . . . . the formula we used above

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3 years ago
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o
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Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean \mu _{\hat p} = p = 0.39

The standard deviation;

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The test statistics can be computed as:

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Z = -1. 8 4

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(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean \mu_{\hat p} =  p = 0.39

the standard deviation \sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }

\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }

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P (\hat p \le 0.3 ) = P(z \le -3.69)

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(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

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6 0
3 years ago
Tell whether the angles are complementary or supplementary. Then find the value of x.
gladu [14]

Answer:

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Step-by-step explanation:

Complementary angles form a right angle and supplementary angles form a straight angle.

<h3>#7</h3>

<u>Complementary:</u>

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<h3>#8</h3>

<u>Supplementary:</u>

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