Answer:
There are 14 problems worth 5 points and 15 problems worth 2 points.
Step-by-step explanation:
Hope this helped have a good day :)
Answer:
12 divided by 1.5 = 8 tapes
Hope this helps you
Answer:
k=0
Step-by-step explanation:
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
Learn more about total pay:
brainly.com/question/2021001
#SPJ1
Answer:
The expected cost is 152
Step-by-step explanation:
Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y
if 
and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)
Recall that, by definition
Also, we are given that 
. Recall the following properties of the expected value. If X,Y are random variables, then
Then, using this property we have that ![E[C] = 50+3E[Y]+ 9E[Y^2]](https://tex.z-dn.net/?f=E%5BC%5D%20%3D%2050%2B3E%5BY%5D%2B%209E%5BY%5E2%5D)
.
Thus, we must calculate E[Y] and E[Y^2].
Using the definition, we get that
![E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%20%5Cint_%7B1%7D%5E%7B5%7D%5Cfrac%7By%7D%7B4%7D%20dy%20%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5Cfrac%7By%5E2%7D%7B2%7D%5Cright%7C_%7B1%7D%5E%7B5%7D%20%3D%20%5Cfrac%7B25%7D%7B8%7D-%5Cfrac%7B1%7D%7B8%7D%20%3D%203)
![E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}](https://tex.z-dn.net/?f=E%5BY%5E2%5D%20%3D%20%5Cint_%7B1%7D%5E%7B5%7D%5Cfrac%7By%5E2%7D%7B4%7D%20dy%20%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%5Cfrac%7By%5E3%7D%7B3%7D%5Cright%7C_%7B1%7D%5E%7B5%7D%20%3D%20%5Cfrac%7B125%7D%7B12%7D-%5Cfrac%7B1%7D%7B12%7D%20%3D%20%5Cfrac%7B31%7D%7B3%7D)
Then
