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anygoal [31]
3 years ago
12

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

Try elimination.

-3x - 3y = - 72

2y = 28

y = 14

Then x = 10

So, we have 10  3-point problems  and 14 5-point problems.

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It can be written in ratio form or percent form.

Step-by-step explanation:

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3 years ago
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Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
aev [14]

Answer:

2.5% probability that a randomly selected book has fewer than 133 pages.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

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What is the probability that a randomly selected book has fewer than 133 pages?

133 = 189 - 2*28

So 133 is two standard deviations below the mean.

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