Answer: Probability that the entire batch will be rejected is 0.611.
Step-by-step explanation:
Since we have given that
Number of clock radios in a batch = 8000
Probability of defective clock radio = 7%
According to question, we have mentioned that A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested.
We will use "Binomial distribution":
here, n = 13 and
p (probability of success) = 7% = 0.07
so, we need to find that
P(the entire batch will be rejected) = P(at least one of those test is defected)
So, it becomes,
P(at least one of those tested is defective) = 1 - P(none are defective)
So, P(none are defective ) is given by
![(1-0.07)^{13}\\\\=0.93^{13}\\\\=0.389](https://tex.z-dn.net/?f=%281-0.07%29%5E%7B13%7D%5C%5C%5C%5C%3D0.93%5E%7B13%7D%5C%5C%5C%5C%3D0.389)
So, P(at least one of those tested is defective) = 1 - P(none are defective)
= 1 - 0.389
= 0.611
Hence, Probability that the entire batch will be rejected is 0.611.
Answer:
1. $15.80
2. $12
3. $11.06
Step-by-step explanation:
Step-by-step explanation:
1. Buying 20 single candy bars at regular price
The regular price of one is 79 cents.
(# of bars) X (price per bar) = regular price
20 X 79 cents = 1580 cents
1580 cents = $15.80
2. Buying 20 bars in packs of 5
Each pack is $3
(# of packs) X (price per pack) = pack price
(20/5) X ($3) = pack price
4 X $3 = $12
3. Buying 20 bars at special price
For every 2 bought, 1 is free.
(Number of bars paid for) X (price per bar) = special price
(2(20/3)) X (0.79) = special price
14 X 0.79 = $11.06
Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.
Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.
Answer:
1.1 Factoring: x2-44
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 44 is not a square !!
Step-by-step explanation: