Answer:
One real root, with multiplicity 7.
Step-by-step explanation:
The given expresion is
This is a seventh degree polynomial.
According to the fundamental theorem of Algebra, the expression has a potential 7 roots both real and complex.
This expression has one real root, with multiplicity , 7.
Answer:
There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
For this problem, we have that:
Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is and
.
We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of in the z score formula.
.
What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?
This is 1 subtracted by the pvalue of Z when . So
A zscore of 3 has a pvalue of 0.9987.
So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.
Answer:
The volume is about 4.24 cm^3.
Step-by-step explanation:
From the question we are told that:
Diameter
Radius
Height risen
Generally the equation for Volume of a Key is mathematically given by
Since Volume of a cylinder is Given as
Therefore
Correct Option A
The volume is about 4.24 cm^3.