Answer:
Step-by-step explanation:
To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.
and
and
So this one is not prime, since you can still factor it.
and
and
So this one is not prime, since you can still factor it.
and
and
So this one is not prime, since you can still factor it.
and
and -x+2 cannot be further factored.
Therefore, is a prime.
Answer:
Step-by-step explanation:
Answer:
a) 26.76% probability that a student in the psychology department has a score less than 480.
b) 69.73% probability that a student in the psychology department has a score between 480 and 730.
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 haev that:
a. Find the probability that a student in the psychology department has a score less than 480.
This is the pvalue of Z when X = 480. So
has a pvalue of 0.2676.
26.76% probability that a student in the psychology department has a score less than 480.
b. Find the probability that a student in the psychology department has a score between 480 and 730.
This probability is the pvalue of Z when X = 730 subtracted by the pvalue of Z when X = 480.
X = 730
has a pvalue of 0.9649.
X = 480
has a pvalue of 0.2676.
0.9649 - 0.2676 = 0.6973
69.73% probability that a student in the psychology department has a score between 480 and 730.