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(a) For a normal distribution, find the z-score that cuts off the bottom 55.76% of all the z-scores. Round to 2 decimal places after the decimal point. answer: (b) For a normal distribution, find the z-score that cuts off the top 77.52% of area. Round to 2 decimal places after the decimal point. answer:

Answers

Answer 1

Answer:

Answer:

a) Z = 0.15

b) Z = -0.76

Step-by-step explanation:

Problems of normally distributed samples are 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:

$Z = (X - \mu)/(\sigma)$

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.

(a) For a normal distribution, find the z-score that cuts off the bottom 55.76% of all the z-scores.

Bottom 55.76% of the scores are the z-scores with a pvalue of 0.5576 and less. So the z-score that cuts off these scores is Z when X has a pvalue of 0.5576, which is Z = 0.145, rounded to two decimal places, Z = 0.15.

(b) For a normal distribution, find the z-score that cuts off the top 77.52% of area.

The top 77.52% of the scores are the z-scores with a pvalue of 1-0.7752 = 0.2248 and higher. So Z = -0.764 and higher. So the value that cuts off the top 77.52% is Z = -0.76.

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Answers

Definitely multiply out the given factors:

f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is

f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25

I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer-44

You can turn both of the denominators ( bottom numbers on the fractions ) into 120 ( the whole number ) and the top numbers can be multiplied by how many times the denominators went into 120. Then add the top numbers which equals 76 and then 120-76=44. Hope that kinda helps !!

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Answers

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Answers

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Learn more about percentage here:

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