Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
6 total letters, 3 vowels. 3/6, or 1/2.
Answer:
C. 4 X (3 + 8 – 6)
Step-by-step explanation:
3 + 8 = 11
11 - 6 = 5
5 x 4 = 20
5x + 4x = 720
9x = 720 (divide by 9)
X= 80
In order to get the bigger ratio, which is 5, you would substitute x for 80. (I'm bad at explaining)
Work:
5(80)= 400
a. Use the inclusion/exclusion principle.
b. By definition of conditional probability,
