3 years ago

If (3+√5)(4-√5)=a+b√5, where a and b are integers, then what is the value of a + b?

Mathematics

1 answer:

defon3 years ago

4 0

54 = 2 x 3³
So, if a and b are integers, a=2 and b=3

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Answer:

The probability that Karen has bought at least one dented can is 82.5%

Step-by-step explanation:

To know the probability of Karen buying at least one dented can, it's easier to calculate the probability of her not buying any dented can, and we know that:

$P_{\mbox{buying 24 cans}} =P_{\mbox{buying 24 non-dented cans}}+P_{\mbox{at least one dented can}}=1$

The probability of a can not being dented is (in the same principle as above, 100%(all cans)-7%(dented cans)=93%(non-dented cans) 0.93.

As the probability of a can being dented or not is independent from each other, we multiply the probabilities:

$P_{\mbox{buying 24 non-dented cans}}=0.93^{24}=0.175$

Now, we calculate the probability of at least one dented can, expressed as a percentage:

$P_{\mbox{at least one dented can}}= (1-P_{\mbox{buying 24 non-dented cans}})*100\\\\P_{\mbox{at least one dented can}}=(1-0.175)*100=82.5\%$

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