SOLUTION
This is a binomial probability. For i, we will apply the Binomial probability formula
i. Exactly 2 are defective
Using the formula, we have

Note that I made the probability of being defective as the probability of success = p
and probability of none defective as probability of failure = q
Exactly 2 are defective becomes the binomial probability

Hence the answer is 0.1157
(ii) None is defective becomes

hence the answer is 0.4823
(iii) All are defective

(iv) At least one is defective
This is 1 - probability that none is defective

Hence the answer is 0.5177
Answer:

Step-by-step explanation:
we have

Solve for a
That means ----> Isolate the variable a
Factor 3 in the numerator right side

Simplify right side

subtract a both sides


subtract 1 both sides


Rewrite

<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
We know that:
- <u>Trapezoid ABCD has one side that is 25 unit. </u>
- <u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
- <u>EF = 6 units</u>
- <u>EH = 12.5</u>
- <u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>
<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>
<u>Work</u>
- => 6(3) + 12.5
- => 18 + 12.5
- => <u>30.5 units</u>
Hence, the perimeter of EFGH is 30.5 units.

Answer:
rhombus
Step-by-step explanation:
Answer:
The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.
I find that the monthly payment will be
$848.89. There will be 360 such payments over 30 years, for a total payment amount of $30The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.
R = Pi/[1 - (1+i)^(-n)] where
P = 110,400
R = the monthly payment
i = 8.5/[100(12)] = .007083...
n = 30(12) = 360 yielding
R = $848.88 per month.
Therefore, the total interest paid is 360(848.88) - 100,400.
5,600. Subtract the original principle (110,400) from that to get the interest paid.
hopes this helps :]