Answer:
The answer is 2
Step-by-step explanation:
x+y = (1+i) + (1-i)
open the bracket...
1+i + 1-i
collect like terms
=1+1+i-i
= 2-0
=2
You need to multiply the base by the height.
Let list the data in ascending order 100, 100, 105, 113, 129, 132, 146, 152, 176, 200
There are ten numbers so the thirtieth percentile would be the .3 * 10
= 3rd number, ordered from smallest to largest.
so the third number, the thirtieth percentile, is 105
Answer:
62.17% probability that a randomly selected exam will require more than 15 minutes to grade
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 randomly selected exam will require more than 15 minutes to grade
This is 1 subtracted by the pvalue of Z when X = 15. So
has a pvalue of 0.3783.
1 - 0.3783 = 0.6217
62.17% probability that a randomly selected exam will require more than 15 minutes to grade