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
Answer:
80%
Step-by-step explanation:
0.75 ⇒ 100%
0.15 ⇒ x%
0.75x = 100·(0.15)
0.75x = 15
x = 15/(0.75)
x = 1500/75
x = 20%
100% - (discount) = x%
100% - (discount) = 20%
discount = 100%-20%
discount = 80%
Point slope form is y2-y1=m(x2-x1).
The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:
y-7=1/4(x+2) is the answer.
P would equal negative three.
Answer:
it's c , x= 1.5 or -4
2x^2 + 5x - 12 = 0
First factor the left side of the equation
(2x-3)(x+4)=0
Second, set the factors equal to 0
2x-3=0 or x+4=0
+3 +3 -4 -4
2x=3 -4
divide both side by 2 and you get 3/2 which equals 1.5
x=1.5 or x= -4