Answer:
$9.86
Step-by-step explanation:
Frist you read the problem and you see that she pays $1.89 for one drink
so you write down $1.89
then 3 cookies for $0.99 so you multiply $0.99 by 3 and you get $2.97
so you write down $2.97
next 2 slices of pizza for $2.50 so you multiply 2 by $2.50 and you get $5.00
so you write that down
lastly you and the answers you wrote down and you get $9.86
Maya payed $9.86 for her order.
A number minus twenty four
Answer:
121/12
Step-by-step explanation:
1. 11/12 - (-10) = 11/12+10 = 131/12
2. 131/12-5/6 = 131/12 - 10/12 = 121/12
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.

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.