Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:

The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:

The probability is 0.40 or 40%.
Answer:
The correct option is B.
Step-by-step explanation:
The given equation are


On solving both the equation, we get




Put this value in the given equation.




The solution of the given system of equation is

The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.
Answer:
1/50 < 2.8% < 0.044 < 7/40
Step-by-step explanation:
2.8%, 7/40, 1/50, 0.044
- 2.8% = 0.028 = 28/1000
- 7/40 = 0.175 = 175/1000
- 1/50 = 0.020 = 20/1000
- 0.044 = 44/1000
<u>Ordering in ascending order</u>
- 20/1000 < 28/1000 < 44/1000 < 175/1000
<u>Same order in original numbers</u>
- 1/50 < 2.8% < 0.044 < 7/40
ANSWER
The value of the expression is

EXPLANATION
Method 1: Rewrite as product of

The expression given to us is,

We use the fact that

to simplify the above expression.

This implies,

We substitute to obtain,


Method 2: Use indices to solve.

This implies that,


Answer: c
=
3
f
y
−
12
m
y
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.