A newspaper carrier has $6.40in change. he has two more quarters than dimes but five times as many nickels as quarters. how man
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Answer:
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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when . So
Also, when X = 14, Z has a pvalue of 0.925, so when
Replacing in the first equation
Standard deviation:
An exponent signifies repeated multiplication.
the factor x is repeated 3 times
Exponents can be added and subtracted to express the effects of multiplication and division.
The addition and subtraction of exponents works the same even when there are more denominator factors than numerator factors.
That is, a negative numerator exponent is the same as a positive denominator exponent and vice versa. You can move a factor with an exponent from denominator to numerator and change the sign of the exponent, and vice versa.
Your expression has 3 in the denominator with a negative exponent. It can be moved to the numerator and the exponent changed to positive: