12) A basketball player has a 50% chance of

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Answer:

13/4096

Step-by-step explanation:

There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.

The total number of possibilities for the free throws is 2^12 = 4096

Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096

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Write the prime factorization for 65,169

posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

$6+5+1+6+9=27=3\cdot 9$

So, we can divide the number by 3 and keep going with the factorization:

$65169\div 3 = 21723$

This number is again divisible by 3, because

$2+1+7+2+3 = 15 = 3\cdot 5$

We have

$21723\div 3 = 7241$

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

$7241\div 13 = 557$