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3 years ago

8

(-5+1)(((3+6)*2-2)(5)-1) evaluate.

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Answer:

-316

Step-by-step explanation:

Each operation shown in bold is done on the next line.

(-5+1)(((3+6)*2-2)(5)-1) =

= (-4)((9*2-2)(5)-1)

= (-4)((18-2)(5)-1)

= (-4)(16(5)-1)

= (-4)(80-1)

= (-4)(79)

= -316

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Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A multiple choice exam has ten questions.

This means that $n = 10$

The probability of answering any question correctly is 0.20.

This means that $p = 0.2$

What is the probability that the student answers exactly 4 questions correctly

This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881$

8.81% probability that the student answers exactly 4 questions correctly

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