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Mnenie [13.5K]
3 years ago
5

An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)

, and that 21% were both male and between the ages of 18 and 20. What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M). Your answer should be given to two decimal places.
Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

                      18-20                  Not 18-20           Total

Male                0.23                    0.35                 0.58

Female            0.16                     0.26                0.42

Total                0.39                    0.61                   1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

P(female or between 18-20) =  0.42+0.39-0.16

P(female or between 18-20) = 0.65

Hence, our required probability is 0.65.

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disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

H_0:\mu = 16

H_a:\mu>16

The test statistics will be:

⇒ z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }

By putting the values, we get

⇒    =\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }

⇒    =\frac{\frac{0.06}{0.24} }{\sqrt{96} }

⇒    =2.45

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ p-value< \alpha

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6 0
3 years ago
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

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3 0
3 years ago
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6 0
3 years ago
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6. what is the parimeter of triangle ABC<br>8. What is the value of x​
nalin [4]

<u>Answer:</u>

Perimeter = 20 units

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<u>Step-by-step explanation:</u>

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Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units

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7 0
3 years ago
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astra-53 [7]

Answer:

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---------------

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---- ----

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x = 9

3 0
2 years ago
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