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Kobotan [32]
2 years ago
13

Evaluate p-(m-4)(p-q) given m = -6, p=-5 and q=-5

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
5 0

Answer:

Step-by-step explanation:

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For a particular diamond mine, 81% of the diamonds fail to qualify as "gemstone grade". A random sample of 92 diamonds is analyz
Fed [463]

Answer:

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

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 = 92, p = 0.81

So

\mu = E(X) = np = 92*0.81 = 74.52

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{92*0.81*0.19} = 3.76

Find the probability that more than 79% of the sample diamonds fail to qualify as gemstone grade.

This is 1 subtracted by the pvalue of Z when X = 0.79*92 = 72.68. So

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

Z = \frac{72.68 - 74.52}{3.76}

Z = -0.49

Z = -0.49 has a pvalue of 0.3121

1 - 0.3121 = 0.6879

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

4 0
3 years ago
Which one? 10 points
Butoxors [25]
I believe it’s bbbbb
7 0
2 years ago
Given △ABC, sin(A) = <br><br> A. cos(B)<br> B. sin(B)<br> C. cos(C)<br> D. tan (C)
irinina [24]

the answer is cos(C).

7 0
3 years ago
Read 2 more answers
PLEASE HELP ANYONE
kenny6666 [7]

Answer:

B

Step-by-step explanation:

4 or greater: 1/2 (4,5,6)

4 or smaller: 2/3 (1,2,3,4)

1/2 * 2/3 = 2/6

2/6 = 1/3

1/3 = 0.333

6 0
3 years ago
Read 2 more answers
What is the alternating sum of digits
Morgarella [4.7K]

Answer:Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

Hope this helped

6 0
3 years ago
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