Answer:
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
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:

You have been asked to calculate the probability of putting less than 24 ounces in a cup.
pvalue of Z when X = 24. So



has a pvalue of 0.6915
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
Hope this can help you out some! :)
*There is a line under the greater than and less than sign is to show it can "greater than or equal to" or "less than or equal to"*
9 ≥ w and 2 ≤ w
*Since it says and, we solve both of them together.
If it said "OR", we would do the one side first then the other side*
9 ≥ w and 2 ≤ w
-2 -2
7 ≥ w and 0 ≤ w
Answer:
7 ≥ w and 0 ≤ w
Let me know if you have additional questions!
Have a great day/evening/night! :)
All three sides of the triangle are the same so youcan set two of the equations equal to each other and solve for x:
4x-10 = 3x +2
Add 10 to each side:
4x = 3x + 12
Subtract 3x from each side:
x = 12