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
.
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

Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step explanation:
Let us divide the equation into 2 parts.
Hanks
Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.
Let
x = number of month
y = total amount paid
y = 2000 + 200x
The relationship between amount paid and the number of months is proportional
Lynn
She did not paid anything upfront but she paid $275 every month. Therefore,
x = number of month
y = total amount paid
y = 275x
This relationship between amount paid and number of month is directly proportional
Answer: 6 dollars per pound
Step-by-step explanation:
You just divide 18/3 and you get your answer! Give me brainliest pleass!
Answer:
ok here is the answer 3 3/6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
There are 4 lines in between 2 consecutive integers, so each division is:
1/4 = 0.25
<em>As we see from the graph, the highest miles is at the division before 2, which is 1.75</em>
<em />
<em>Also, the lowest miles is at 0.</em>
<em />
<em>Hence, </em><em>difference in highest and lowest is 1.75 - 0 = 1.75</em>
<em />
In fraction, 
correct answer C