Answer:
Step-by-step explanation:
1. Isolate Y by subtracting 6x from both sides.
2. Divide everything by 5, since 5 is the coefficient of Y
Final equation:
Y = 
Hope this helps!
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
Answer:
v > -25/p
r = -5 +7/3 w
Step-by-step explanation:
- pv + 40 < 65
Subtract 40 from each side
- pv + 40-40 < 65-40
-pv < 25
Divide each side by -p (remember to flip the inequality since we are dividing by a negative)
-pv/-p > 25/-p
v > -25/p
7w - 3r = 15
Subtract 7w from each side
7w-7w - 3r = 15-7w
-3r = 15-7w
Divide by -3
-3r/-3 = (15-7w)/-3
r = -5 +7/3 w
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01

Then the number defective parts follows a binomial distribution
.
Formula for variance =

Thus, 198 is the variance for the number of defective parts made each week.