Solving for Unknown Values
1 answer:
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Answer:
0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 170cm and standard deviation of 7.5 cm.
This means that
Find the probability that a randomly selected male has a height > 180 cm.
This is 1 subtracted by the pvalue of Z when X = 180. So
has a pvalue of 0.9082
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.
ANSWER
EXPLANATION
The given product is
This is always equal to
The identity
is called difference of two squares.
We can verify this by simply expanding the brackets using the distributive property to obtain,
This simplifies to
EXPLANATION
The given product is
This is always equal to
The identity
is called difference of two squares.
We can verify this by simply expanding the brackets using the distributive property to obtain,
This simplifies to