Answer:
4y-12
Step-by-step explanation:
To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted).
If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks simply of distributivity.
Answer:
$44
Step-by-step explanation:
First, find how much he was making originally:
Multiply the number of hours he worked by the amount he got per hour:
20(8)
= 160
Then, find how much he gets now:
24(8.50)
= 204
To find his total weekly pay increase, find the difference between them:
204 - 160
= 44
So, his total weekly pay increase is $44
Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;

Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
Answer:
Factors are: 3x+8 & 4x-1
Step-by-step explanation:
12x² + 29x - 8
12x² + 32x - 3x - 8
4x(3x + 8) -1(3x + 8)
(3x + 8)(4x-1)