horizontal shift: 3 units to the left
vertical shift: 4 units down
Answer:
Value of k is
Step-by-step explanation:
We are given the following information in the question:

where x is the time elapses between the end of the hour and the end of the lecture.
We have to find the values of k.
Since, f(x) is the pdf, then,
![\displaystyle\int^\infty_{-\infty} f(x) = 1\\\\\displaystyle\int^2_{0} f(x) = 1\\\\\displaystyle\int^2_{0} kx^2 = 1\\\\k\bigg[\frac{x^3}{3}\bigg]^2_0 = 1\\\\k\times \frac{8}{3} = 1\\\\k = \frac{3}{8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%5Cinfty_%7B-%5Cinfty%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20f%28x%29%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E2_%7B0%7D%20kx%5E2%20%3D%201%5C%5C%5C%5Ck%5Cbigg%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%5D%5E2_0%20%3D%201%5C%5C%5C%5Ck%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20%3D%201%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Hence, value of k is 
All we need to do is find 65% of 75
we need to know that 65% = 0.65
and we multiply 0.65 and 75
soooo
75 x 0.65 = 48.75
so she sould expect to make about 48 shots into the hoop
hope this helps:)
and dont forget 2
MARK ME BRAINLIEST! :D
Step-by-step explanation:
eight times the difference of 2 and a number would be 8 × (2-x)
Answer:
-0.111c + 1 = 0.889c = c=1
Subtract 0.889c from both sides:
−0.111c+1−0.889c=0.889c−0.889c
−c+1=0
Subtract 1 from both sides.:
−c+1−1=0−1
−c=−1
Divide both sides by -1.:
-c/1 = -1/-1
Therefore, your answer is c=1