Answer:
14.63% probability that a student scores between 82 and 90
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.
In this problem, we have that:
What is the probability that a student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90
has a pvalue of 0.9649
X = 82
has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90
Answer:
Tagging Problem for future searchers
Step-by-step explanation:
Which expression represents the statement "four less than the product of three and a number"?
A) 4-3n
B) 4-n/3
C) 3n-4
D) n/3-4
Some definitions:
Sum - the result of adding values together
Term - a single number or variable (includes variables multiplied by numbers)
Factor - a number or variable that divides another number or expression evenly
Quotient - the result of dividing values by one another
Coefficient - a numerical or constant value often in front of a variable
In your equation:
Sum - (5x + 1)
5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.
Term - (5x, 1, 3y)
All terms given above are applicable.
Factor - (9)
9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression
Quotient - (9(5x + 1) / 3y)
The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.
Coefficient - (5, 3)
Both 5 and 3 are numbers in front of variables.
Hope this helps!! :)
