Answer:
95.86%.
Step-by-step explanation:
Problems of normally distributed samples can be 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:


This probability is the pvalue of Z when
subtracted by the pvalue of Z when
. So
X = 0.65



has a pvalue of 0.9793
X = 0.55



has a pvalue of 0.0207
So this probability is 0.9793 - 0.0207 = 0.9586 = 95.86%.
Answer: D. -40x^3+25x^2+45x
Answer: It will move up 5 spaces on the y-axis.
Step-by-step explanation: y=mx+b where b is the y-intercept (where it will be on the y-axis). In the 1st one it doesn’t have a b so there is no y-intercept so it will pass through point (0,0). In the 2nd one since your adding 5 it will now pass through point (0,5). Because it shifted up 5 on the y-axis.
If you would like to know what is your rate of pay, you can calculate this using the following steps:
$82.50 ... 7.5 hours
$x = ? ... 1 hour
82.50 * 1 = 7.5 * x
82.50 = 7.5 * x /7.5
x = 82.50 / 7.5
x = $11
The correct result would be $11 per hour.