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Answer:
P(at least 1 dull blade)=0.7068
Step-by-step explanation:
I hope this helps.
This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.
So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.
P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1
P(at least 1 dull blade)=1-P(no dull blades)
But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.
So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.
Also since are consecutive events, you need to multiply the events.
The probability that the assembly is replaced the first day is:
P(at least 1 dull blade)=1-P(no dull blades)
P(at least 1 dull blade)=0.7068
It will take them approximately 3 months to pay off the balance on the credit card
<h3 /><h3>First Month</h3>To solve this problem, we need to find the interest on 3287.90 at 14.5%
for the first month, we would have
Now we divide this by 12 to give the interest payable on the first month
So we have
We would do the same thing for the second month and it will give us
For the second month, we have $25.71 as the interest payable
We can calculate how much would be left after the second month.
In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.
From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.
The balance at the end of each month are;
- $2,127.63
- $953.34
- $0
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