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Paul [167]
3 years ago
6

An airplane pilot sights a life raft at a 26° angle of depression. The airplane's altitude

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer:

Choice B.  6 km.

Step-by-step explanation:

We see this is a right triangle.

The height of this right triangle is 3 km and the angle adjacent to the height leg of the triangle is  (90 - 26 ) degrees = 64 degrees.

We want the distance d which is the leg opposite  64 degrees.

tan 64 = d / 3 km  ;

d = 3 * tan 64 =  3 * 2.0503038  km  = 6.1509 km

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Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a
Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.65, n = 153. So

\mu = E(X) = 153*0.65 = 99.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

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

Z = \frac{94 - 99.45}{5.9}

Z = -0.92

Z = -0.92 has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0
3 years ago
The quotient of a number and 6 plus 3 is 11
kkurt [141]
2? because you add 6 and 3 together and get 9 then you subtract 11 by 9 and get 2
5 0
3 years ago
Given f(x)=2x and g(x)=x2+3, find (g°f)(-3)
Tomtit [17]

Answer:

See attached image

Step-by-step explanation:

See attached image

4 0
2 years ago
Is the following number rational or irrational?<br> √121
Aloiza [94]

Answer:

Rational

Step-by-step explanation:

Because it gives whole number which is 11

3 0
3 years ago
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The expression −310+13m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 13 fe
GenaCL600 [577]

Answer:

206

Step-by-step explanation:

The formula for this problem would be -310 + 13(8) which = 206

3 0
3 years ago
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