Answer:
c) 2
d) 0.96
Step-by-step explanation:
We are given the following in the question:
a) probability density function.
![\displaystyle\int^{\infty}_{\infty}f(x) dx = 1\\\\\displaystyle\int^{\infty}_{-\infty}2x^{-3}dx = 1\\\\\displaystyle\int^{\infty}_{1}2x^{-3}dx\\\\\Rightarrow \big[-x^{-2}\big]^{\infty}_1\\\\\Rightarrow -(0-1) = 1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B%5Cinfty%7Df%28x%29%20dx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B-%5Cinfty%7D2x%5E%7B-3%7Ddx%20%3D%201%5C%5C%5C%5C%5Cdisplaystyle%5Cint%5E%7B%5Cinfty%7D_%7B1%7D2x%5E%7B-3%7Ddx%5C%5C%5C%5C%5CRightarrow%20%5Cbig%5B-x%5E%7B-2%7D%5Cbig%5D%5E%7B%5Cinfty%7D_1%5C%5C%5C%5C%5CRightarrow%20-%280-1%29%20%3D%201)
Thus, it is a probability density function.
b) cumulative distribution function.
c) mean of the distribution
d) probability that the size of random particle will be less than 5 micrometers
Answer:
make it make sense then could answer
yeet
first brand quantity is x
2nd brand quantity is y
x+y=30
0.3x+0.55y=0.35(30) or 0.3x+0.55y=10.5
solve for x and y
multiply first equation by -0.3
-0.3x-0.3y=-9
add to 2nd equation
0.3x-0.3y=-9
<u>0.3x+0.55y=10.5 +</u>
0x+0.25y=1.5
0.25y=1.5
divide both sides by 0.25
y=6
sub back
x+y=30
x+6=30
x=24
you need 24 gallons of the first brand and 6 gallons of the 2nd brand
Answer:
A.72
Step-by-step explanation:
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1
4·3·﹣64+2·(6·8)2+2·(6·10)2﹣84+2·(8·10)2﹣104=72
The answer is 56 since complementary angles add up to 90 degrees and one of them is 34 degrees
