Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
Shaded area is 0.4013.

The z score that corresponds with an area of 0.4013 is -0.25

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

Given that μ = 0, σ = 1, the shaded area is 0.4013

The z score that corresponds with an area of 0.4013 is -0.25

Find out more on z score at: link

Z = -0.25

Step-by-step explanation:

Z-score:

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

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, which is also the shaded area under the normal table, 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.

In this problem:

The z-score is the value of Z which has a pvalue of 0.4013. Looking at the z-table, Z = -0.25

because its not ur topic and its not for is for homework not that.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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