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slamgirl [31]
4 years ago
9

A test has multiple choice questions with 5 choices for each answer, only one answer is correct for each question. Suppose a stu

dent guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.
Mathematics
1 answer:
Brrunno [24]4 years ago
6 0

Answer:

The probability that the student will not guess correctly on any one question is 4/5

Step-by-step explanation:

The question posed is an application of the binomial probability distribution.

We have been informed that the test has multiple choice questions with 5 choices for each answer that only one answer is correct for each question.

If the student guesses the answer to each question, then the probability that the student will guess correctly on any one question is 1/5.

Therefore, the probability that the student will not guess correctly on any one question is;

1 - 1/5 = 4/5

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Answer:

The system has one solution.

Step-by-step explanation:

We have two equations:

y = -2x - 4

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Equalling them:

y = y

-2x - 4 = 3x + 3

5x = -7

x = -\frac{7}{5}

And

y = 3x + 3 = 3(-\frac{7}{5}) + 3 = \frac{-21}{5} + 3 = \frac{-21}{5} + \frac{15}{5} = -\frac{6}{5}

Replacing in the other equation we should get the same result.

y = -2x - 4 = -2(-\frac{7}{5}) - 4 = \frac{14}[5} - 4 = \frac{14}{4} - \frac{20}{5} = -\frac{6}{5}

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Step-by-step explanation:

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