Answer:
![Z = 3.33](https://tex.z-dn.net/?f=Z%20%3D%203.33)
Step-by-step explanation:
Z-score:
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 question:
![\mu = 13, \sigma = 1.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%2013%2C%20%5Csigma%20%3D%201.2)
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
![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{17 - 13}{1.2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B17%20-%2013%7D%7B1.2%7D)
![Z = 3.33](https://tex.z-dn.net/?f=Z%20%3D%203.33)
35 = 1/2h (6+1)
35 = 1/2 h + 7
28 = 1/2h
14 = 1h
14 = h
Answer:
8)5.1*10⁶
9)6.98*10 to the power of -6
10) 3.000052*10⁰
11)0.006548
Answer:
B)
Step-by-step explanation:
4y = 3x + 5 has a slope of 3/4
4y = 3x - 1 has a slope of 3/4
parallel lines have equal slopes