Answer:
The sum of 15 and a number is
85 - 15 = 70
Answer:
9 : 1
Step-by-step explanation:
divide 36 to 4 and divide 4 to 4
Answer:
The prove is as given below
Step-by-step explanation:
Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.
Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.
Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.
So this indicates that there are infinite prime numbers of the form 4k+3.
Answer:
Most everyday situations involving chance and likelihood are examples of simple probability.
Explanation:
The probability is the chance or likelihood of any event happening. In our everyday life, we unintentionally use the probability. For example, we say there is 70% chance that tomorrow will be rain, there is 50% chance that Brazil will win the world cup, there is less likelihood of he arriving today and soon. In all these concepts we are dealing with uncertainty and there is chance factor involved in all these examples. So in most everyday situations which involve chance and likelihood are actually examples of simple probability.
Answer:
$516.48
Step-by-step explanation:
Base salary is what Pete will be paid whether he makes a sale or not.
Sales commission is the percentage of the value of the sale that Pete makes which is added to his base salary.
Base salary = $400
Total sales last week = $1456
Commission = 8% of total sales
Commission of last week = 8% of $1456
= 0.08*1456 = $116.48
Gross salary = base salary + commission
= 400 + 116.48
= $516.48