9514 1404 393
Answer:
7800 units per year
Step-by-step explanation:
The increase over 5 years is ...
89,000 -50,000 = 39,000 . . . . units
Then the increase per year is ...
(39,000 units)/(5 years) = 7,800 units/year
Ln 30 + ln 2 - ln 12
ln (30 * 2) - ln 12 (when there is a + between ln you can multiply the numbers)
ln 60 - ln 12
ln (60/12) (the - sign says to divide the numbers)
ln 5 - final answer
You must divide 418/11.
Do long division and then solve.
There are 38 songs in each group.
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
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 above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
![\mu = 72, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%2072%2C%20%5Csigma%20%3D%2010)
The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.
X = 82:
![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{82 - 72}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B82%20-%2072%7D%7B10%7D)
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
![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{72 - 72}{10}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B72%20-%2072%7D%7B10%7D)
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ1
Answer:
is this supposed to be a joke? or riddle?
Step-by-step explanation: