Answer: 0.25
Step-by-step explanation:
The data we have is:
Slacks: one brown, one black.
Sweaters: one tan, one red, one white.
Shirts: one white, one gray.
If the clothes are selected at random, then the probability that Julie will wear brown slacks is equal to the number of brown slacks, divided the total number of slacks.
We have 1 brown slack and 2 slacks in total, so the probability is:
p1 = 1/2 = 0.5
We do the same for the white shirt, we have 2 shirts and one is white, so the probability is:
p2 = 1/2 = 0.5
And we do not have any condition in the sweater, so we can ignore that selection.
Then the probability of both events happening at the same time (that Julie will wear brown slacks and a white shirt) is equal to the product of the individual probabilities: P = p1*p2 = 0.5*0.5 = 0.25
Idk, pick one of them, thats ur best bet
The restriction are that neither h nor g may equal zero as that would lead to division by zero.
The simplification after units cancel is:
(3(gh)^3)/100 or if you prefer
0.03(gh)^3
Split up the interval [0, 2] into 4 subintervals, so that
![[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]](https://tex.z-dn.net/?f=%5B0%2C2%5D%3D%5Cleft%5B0%2C%5Cdfrac12%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac12%2C1%5Cright%5D%5Ccup%5Cleft%5B1%2C%5Cdfrac32%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac32%2C2%5Cright%5D)
Each subinterval has width 
. The area of the trapezoid constructed on each subinterval is 
, i.e. the average of the values of 
at both endpoints of the subinterval times 1/2 over each subinterval ![[x_i,x_{i+1}]](https://tex.z-dn.net/?f=%5Bx_i%2Cx_%7Bi%2B1%7D%5D)
.
So,
The second option 0.04 is greater
