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tester [92]
2 years ago
6

Pls help extra points and mark brainlist

Mathematics
2 answers:
sashaice [31]2 years ago
7 0
B, C, and D.


All you have to do is substitute 8 in these equations for the easy answer.
A) 8 + 11 = 15 (False, it equals 19)
B) 1 = 8 / 8 (True)
C) 15 + 8 = 23 (True)
D) 42 = 7(8) (False, 7 times 8 equals 56)
E) 8 - 5 = 3 (True)
Inessa [10]2 years ago
6 0

Answer:

B. C. and E.

Step-by-step explanation:

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Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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Normal probability distribution

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

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