Answer:
a. .0125
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
2% defective parts.
This means that 
A sample of nine parts from the production process is selected.
This means that 
What is the probability that the sample contains exactly two defective parts?
This is P(X = 2).


0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.
Answer:
Okay so you first need to figure out what your variables are in the equation given. It tells you pi is 3.14. on the top of the cylinder it shows that the radius (r) is 2. the height (h) is shown on the cylinder as 4. Now all you have to do is plug in the values for the variables into your calculator. You have (2) times (3.14) times the radius (2) and you square the radius. then you add (2) x (3.14) x (2) x (4). So if you put it in your calculator it would look like this: (2)(3.14)(2)^2+(2)(3.14)(2)(4)=75.36 Your answer is 75.36
The answer is 19.25, because when you ..
The circumference of the circle is 37.68 ft
Step-by-step explanation:
Given,
The area of the circle is 113.1 sq ft
To find the circumference of the circle we need to find the radius of the circle first
Formula
The area of circle with radius r is = π
sq unit
The circumference of circle with radius r is = 2πr unit
Let us take the radius of the circle is r ft
According to the problem,
π
or, 
or, 
or, r = 
or, r = 6
Now,
The circumference of the circle is 2×3.14×6 ft = 37.68 ft
Answer: C. 18.8w
Step-by-step explanation:
Since Toby exercise 14hours a week, and John exercises 20% more than Toby
John increment in number of hours compared to Tobi will be;
20/100 ×14 = 2.8hrs
This shows John exercises 2.8hrs more than Tobi. Total number of hours exercised by John will become;
14+2.8 = 16.8hrs
Since Jenny exercises two more hours than John, Total number of hours exercised by Jenny will be;
16.8hrs+2hrs
= 18.8hrs/week
If Jenny exercise 18.8hrs in a week, it means she will exercise 18.8×w/1 in w weeks which gives 18.8w weeks.