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
P=12T
Q=66T
-----------
Toys added to each bag:
P=12T+nT
Q=66T+nT
Therefore, 66T+nT=3(12T+nT)
------------
66T+nT=36T+3nT
T(66+n)=T(36+3n)
66+n=36+3n
3n-n=66-36
2n=30
Therefore, n=30/2=15
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*She added 15 toys to each bag.
Answer:
1. loans
2. credit
3. interest
4. total value
5.
6.
7. compound
8. principal
9.
10.
Step-by-step explanation:
I don't know what 5, 6, 9, or 10 is
Answer:
The mean score is 87
Step-by-step explanation:
79x2=158
158-71=87
The formula of a midpoint of AB:

We have:
G(b; 0); F(3b; 2b)
substitute:

Answer: (2b, b)