Answer:
33
Step-by-step explanation:
So we substitute the numbers for the variable and we get 24 + 36/4. This 24 + 9 which equals 33. So the answer is 33. I hope this helped!
Answer:
Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.
The base case is n=2. P(2) is true because 2 is prime.
Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that
p1*p2*...*pj = a
pj+1*pj+2*...*pl = b
As a result
n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl
Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.
Answer: 3456 cubic metres
Step-by-step explanation:
32 * 18 * 6 is the volume of which can be held in the pool
Answer:
Number 6 is 1/6
Number 7 is 5/6
Number 8 is 3/6 or 1/2
Step-by-step explanation:
6. chance of landing on a 2 because there are 6 sides and the probability is equal.
There is a 1/6 chance it will land on 1, 2, 3, 4, 5, and 6. So 1/6 is the answer.
7. chance of not landing on 5. There are 5 "non-5" numbers. So 5/6 is the answer.
8. Let's see the odd numbers: 1, 2, 3, 4, 5, 6.
1, 3, and 5 are odd. So that's half of the numbers so the answer would be or simplified to .