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adell [148]
3 years ago
14

It's possible to build a triangle with side lengths of 3, 3, and 9.

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer: No.

Good luck! I hope this is right!

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Answer:

(a) The expected score is 12.8

(b) The standard deviation is 3.2 and variance is 10.24

Step-by-step explanation:

Consider the provided information.

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question.

Here n=64 p=1/5 and q=1-1/5=4/5

Part (a)  we need to find the expected score on the exam.

Expected = np

Expected score = number of questions × P(right)

Score = 64 \times \frac{1}{5} = 12.8

Hence, the expected score is 12.8

Part (b)  Compute the variance and standard deviation of x.

Standard Deviation: \sigma =\sqrt{npq}

Now calculate the standard deviation as shown:

\sigma =\sqrt{64\times \frac{1}{5}\times \frac{4}{5}}

\sigma =\sqrt{\frac{256}{25}}

\sigma =\frac{16}{5}=3.2

Variance: \sigma^2 =npq

\sigma^2 =64\times \frac{1}{5}\times \frac{4}{5}

\sigma^2 =\frac{256}{25}

\sigma^2 =10.24

Hence, the standard deviation is 3.2 and variance is 10.24

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