Answer:
A.0.4477
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 16.3, \sigma = 4.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2016.3%2C%20%5Csigma%20%3D%204.2)
What is the probability that a randomly selected exam will require between 14 and 19 minutes to grade?
This probability is the pvalue of Z when X = 19 subtracted by the pvalue of Z when X = 14. So
X = 19
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{19 - 16.3}{4.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B19%20-%2016.3%7D%7B4.2%7D)
![Z = 0.64](https://tex.z-dn.net/?f=Z%20%3D%200.64)
has a pvalue of 0.7389.
X = 14
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{14 - 16.3}{4.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B14%20-%2016.3%7D%7B4.2%7D)
![Z = -0.55](https://tex.z-dn.net/?f=Z%20%3D%20-0.55)
has a pvalue of 0.2912
0.7389 - 0.2912 = 0.4477
So the correct answer is:
A.0.4477
Answer: $15
Step-by-step explanation:
Half of $10 would be $5 so 3 hrs would be $15?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
The exact form is -15/28 and the decimal form is -0.535
I = P x R x T
I = 250 x .055 x 1
I = 13.75
I + P = Total amount paid
$250 + $13.75 =Total amount paid
$263.75= Total amount paid