Answer:
c
Step-by-step explanation:
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Answer:
books.
Step-by-step explanation:
We have been given that Hannah's school hosted a book donation.
Total number of students = 150.
Total number of books donated by all students = b.
Since we know that average is calculated by dividing the sum of the values in the set by their number.
Since we are told that Hannah donated 3 times as many as the average number of books each student donated. So books donated by Hannah will be:
Upon simplifying we will get,
Therefore, Hannah donated books.
Answer:
Step-by-step explanation:
Hi there!
We are given the following expression:
÷
And we would like to solve it
Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.
So the reciprocal of 1/5 is 5/1, or 5/1
So we will multiply 1/6 by 5
The fraction is in the simplest form; 5/6 is the answer.
Hope this helps!