Answer:
32 and 4
Step-by-step explanation:
128=2^7
(8xa)xb=128
axb=2^4=16
(8x4)x4=128
Both numbers have the variable x so you add 5 and 12 which gives you 17 and you need to write the variable. The answer is 17x
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:
Jane's situation is the one which represents a porportional relationship.
Step-by-step explanation:
To verify the proportionality betwen a ratio you have to divide all the ratios and all them have to get the same constant factor.
So, if you divide the matt's ratios you aren't gonna find the same constant factor
12/1=12
20/2=10
31/2=15,5
But if you try with Jane's ones:
12/1=12
24/2=12
36/3=12
This 12 is the known constant factor, which show us that these ratios are proportional.
Answer:
1003.4375
Step-by-step explanation:
16055/16 is 1003.4375
