20 + 6 + 11 + 10 adds up to 47
Answer:
x = 10 and y is 10 times the square root of 2
Step-by-step explanation:
45 45 90 triangle
x x x times square root of 2
10 10 and 10 times square root of 2
Answer: $480
Explanation: First, change the percentage to a decimal by dividing by 100. 40/100 = .4
Then multiply .4 by the cost, $1200. .4*1200 = $480
Answer:
21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85
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.
For proportions p in a sample of size n, we have that 
In this problem:

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85
This is 1 subtracted by the pvalue of Z when X = 0.85. So



has a pvalue of 0.7823
1 - 0.7823 = 0.2177
21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85