Meg's first quiz she done better on. It was 92% and the Second quiz was was 90%.
Answer:
300 points
Step-by-step explanation:
160 + 20 = 180
180 would have been 60 percent
180/60 = 300
300 would have been needed to pass
Proven by:
300 * 60% = 180
180 - 20 = 160
Notice that
for
implies that
elsewhere, since

where
is a random variable representing cable lengths according to the PDF
.
a. By definition of expectation, the mean is
![E[X]=\displaystyle\int_{-\infty}^\infty x\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x\,\mathrm dx=1205](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5C%2C%5Cmathrm%20dx%3D1205)
The variance is
![\operatorname{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](https://tex.z-dn.net/?f=%5Coperatorname%7BVar%7D%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2)
where
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x^2\,\mathrm dx=\frac{4,356,100}3](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5E2%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5E2%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B4%2C356%2C100%7D3)
so that the variance is
, making the standard deviation
.
b. The proportion of cables within specs is

Answer:
a) 5,8,11 b)32
Step-by-step explanation:
Answer:
approximately 7 hours
see the explanation
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the time worked in hours
y ----> the amount earning in dollars
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have a proportional relationship
step 1
Find approximately how many hours would it take Delia to earn $250 ?
Looking at the graph
For y=$250 The value of x is approximately 7 hours
see the attached figure N 2
step 2
Find the exact value
from the graph take the point (5,175)
Find the value of k
----> 
The linear equation is

For y=$250
substitute

solve for x
