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JulsSmile [24]
2 years ago
12

Joe nas to take two quizzes tomorrow. He nas only enough time to study one of them. • The science quiz has 7 true-or-false quest

ions. • The English quiz has 3 multiple-choice questions. Joe calculates the probability that he will get each question correct by guessing. ?​

Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

Answer:

C.

Step-by-step explanation:

Science questions are T/F. That's .5 or \frac{1}{2} chance to get it right.

7 questions. Each with a \frac{1}{2}.

That's (\frac{1}{2})^{7}  

(\frac{1}{2})^{7} = \frac{1}{128} = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or \frac{1}{4}

3 questions. Each \frac{1}{4}

That's (\frac{1}{4})^{3}

(\frac{1}{4})^{3} = \frac{1}{64} = .0156 = .016 rounded

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Answer:

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Step-by-step explanation:

Area of rectangle is given by the formula;

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From the diagram, base = 6x - 6 and height = 6x - 8

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So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

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Plugging 2 for x for the height and base of the triangle, we have;

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