Multiply and write in standard form: (2x + 1)(5x - 2) Show all work for full credit.
1 answer:
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Answer:
4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
Since Z > -2 and Z < 2, this outcome is not considered unusual.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
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 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.
If or
, the outcome X is considered to be unusual.
In this question:
Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
This is the pvalue of Z when X = 5. So
has a pvalue of 0.0455.
4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
Since Z > -2 and Z < 2, this outcome is not considered unusual.
We’re told that QR and RS are equal, so this is an isosceles triangle.
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180