First, we must find what percent of 7,000 is 160.
To do this, let's do 160/7,000
160/7000 simplified is 4/75.
So, 4 out of every 75 CDs will be defective. If we want to find the probability of them all being affective, we must first do 71/75, because we subtracted the amount of defective CDs from the numerator.
Next week must multiply 71/75*71/75*71/75*71/75*71/75 to get the probability of 5 randomly selected ones being affective.
I got 1804229351/2373046875
If you divide this, you get 0.76030076354, so there is about a 76 percent chance of having all 5 randomly pulled be affective.
.Hope this helped! Comment if you have any questions!!!
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
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<em>Alternate solution</em>
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
Answer with Step-by-step explanation:
We are given that

We have to find T,N and B at the given point t > (1,
,1)



Now, substitute t=1













Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as

Substituting in the coordinates of the vertex,

So, the equation is
.
On expanding, we get 
Answer:
1st markdown = $324
2nd markdown = $259.20
Step-by-step explanation:
current price = 360
1st 6 months = 10% down
= 90% of 360
= <u>324</u>
2nd 6 month = 20% down of first 6 month
= 20% down of 324
= 80% of 324
= <u>259.20</u>