Answer:
The probability of the man shorter than 1.85m is 2 in 5.
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 
Well using distance formula

The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.
Answer:
One
Explanation:
3
y
=
18
x
+
21
XXX
⇔
y
=
6
x
+
7
5
y
+
55
=
30
x
XXX
⇔
y
=
6
x
−
11
both equations are linear and they are not co-linear
therefore there is exactly 1 solutio
Answer:
y = 2/3x-8
Step-by-step explanation:
in the equation y = mx+b, m = slope and b = y-intercept. all you have to do is plug the numbers in!!