Answer:
about 0.037
Step-by-step explanation:
A suitable probability calculator can provide the probability that 7 inches will be exceeded. It is about 0.036815.
The probability the store will have to refund money is about 0.037.
The volume of a rectangular prism can be found using the formula V = WHL.
W is the width, H is the height, and L is the length.
V = 512×612×12
V = 3,760,128
The volume of the bin is 3,760,128

Recall that the PDF is given by the derivative of the CDF:

The mean is given by
![\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\int_0^2\left(x-\dfrac{x^2}2\right)\,\mathrm dx=\frac23](https://tex.z-dn.net/?f=%5Cmathbb%20E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cint_0%5E2%5Cleft%28x-%5Cdfrac%7Bx%5E2%7D2%5Cright%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac23)
The median is the number

such that

. We have

but both roots can't be medians. As a matter of fact, the median must satisfy

, so we take the solution with the negative root. So

is the median.
Answer:
$10
Step-by-step explanation:
1000 divided by 100 = 10
so $10 is the answer
then 100 tickets = $1000
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