Answer: Hope this helps <3
Step-by-step explanation:
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:
-8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+2+x=−22
(2x+x)+(2)=−22(Combine Like Terms)
3x+2=−22
3x+2=−22
Step 2: Subtract 2 from both sides.
3x+2−2=−22−2
3x=−24
Step 3: Divide both sides by 3.
3x
3
=
−24
3
x=−8
Answer:
(x-2), (x+2), (3x-5)
Step-by-step explanation:
Factors of 3: ±1, ±3
Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20
Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)
Pick a number to divide the polynomial by (I picked 2)
(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10
So (x-2) is a factor of f(x) = 3x³-5x²-12x+20
Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20
Answer:
Aaron's bowling score is 30
David's bowling score is 54
Step-by-step explanation:
The variable representing Aaron's score is = a
The variable representing David's bowling score = d
The sum of their scores is 84.
= a + d = 84...... Equation 1
David's bowling score is 6 less than 2 times Aaron's score.
d = 2a - 6
Substituting 2a - 6 for d in Equation 1
a + 2a - 6 = 84
3a - 6 = 84
3a = 84 + 6
3a = 90
a = 90/3
a = 30
Hence, Aaron's bowling score is 30
d = 2a - 6
d = 2(30) - 6
d = 60 - 6
d = 54
David's bowling score is 54
