For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are 
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where 
is the number of ways to select 3 non-defective components from 117 non-defective components and 
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%
1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
<em>Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.</em>
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)
All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....
Is there a mistake in the question?
Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.
Answer:
x = 74.2°
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
Let x = the second angle
15.8° + x = 90°
x = 90 - 15.8°
x = 74.2°
Answer:
so
slope is calculated this way:
let's calculate y init by:
3 = -3×2 + b
b = 9
so equation is:
y=-3x+9
The answer is A. Martha has a shorter distance left to get to the aunt’s house than Jackson since 2/3 is .667 or 67%. Therefore this statement is false
