Answer:
Since this season, the probability that the Yankees will win a game is 0.6 The probability that the Yankees will lose when they score 5 or more runs is 19.2%.
Step-by-step explanation:
Since this season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.48, and he probability that the Yankees lose and score fewer than 5 runs is 0.33, To determine what is the probability that the Yankees will lose when they score 5 or more runs, the following calculation must be performed:
(1 - 0.6) x 0.48 = X
0.40 x 0.48 = X
0.192 = X
0.192 x 100 = 19.2
Therefore, the probability that the Yankees will lose when they score 5 or more runs is 19.2%.
Buckle up, this one was a long one.
I set up 1 / 3(12 + x) as a fraction and set it equal to - 8(6 - x).
Get rid of the parentheses by distributing the integers on the outside. You get 1 / 36 + 3x = - 48 + 8x.
To get rid of the fraction, you multiply both sides by the (36 + 3x) polynomial to get 1 = (- 48 + 8x)(36 + 3x).
Now we do the FOIL method to get 1 = 24x^2 + 288x - 144x - 1728. Combine like terms to get 24x^2 + 144x - 1728 = 1.
Simply again by dividing each term the GCF of 24 to get 24(x^2 + 6x - 72) = 1.
Factor the inside of the parentheses to get 24(x + 12)(x - 6) = 1. Now divide both sides by 24 to isolate the x variables to get (x + 12)(x - 6) = 1/24.
Set each polynomial equal to 1/24 to get you possible answers for what x can be.
x + 12 = 1/24. Subtract 12 from both sides; you get x = - 12 + 1/24 to get x = - 11 23/24.
x - 6 = 1/24. Add 6 to both sides; you get x = 6 + 1/24 to get x = 6 1/24
Answer:
p=9*t
Step-by-step explanation:
1*9=9
2*9=18
3*9=27
4*9=36
To do this, convert 35% to a decimal, which would be moving the decimal two times to the left which would be 0.35. Then, to find 35% of 200, you would multiply 0.35 and 200 to get your answer: 70
