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
Answer:
M = -2/3
Step-by-step explanation:
2x + 3y = -12 (subtract 2x from both sides)
3y= -2x -12 (divide everything by 3)
Y = -2/3x - 4
M= -2/3
We need to simplify the expression:

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:
Now,

On simplifying the above expression we get:




So the simplified form of the expression
.
When you know the coordinates of a point and the slope of a line, you can use the formula

in your case,
and
, so you have
