Answer: See the explanation below.
A frequency table is a way to organize data. We create bins (intervals) to collect the data. Then, we give the frequency (number) of data values in each interval.
Here is an example of how you could sort this data.
Interval: Frequency:
0 - 1 7
2 - 3 7
4 - 5 1
For (2), start with the base case. When n = 2, we have
(n + 1)! = (2 + 1)! = 3! = 6
2ⁿ = 2² = 4
6 > 4, so the case of n = 2 is true.
Now assume the inequality holds for n = k, so that
(k + 1)! > 2ᵏ
Under this hypothesis, we want to show the inequality holds for n = k + 1. By definition of factorial, we have
((k + 1) + 1)! = (k + 2)! = (k + 2) (k + 1)!
Then by our hypothesis,
(k + 2) (k + 1)! > (k + 2) 2ᵏ = k•2ᵏ + 2ᵏ⁺¹
and k•2ᵏ ≥ 2•2² = 8, so
k•2ᵏ + 2ᵏ⁺¹ ≥ 8 + 2ᵏ⁺¹ > 2ᵏ⁺¹
which proves the claim.
Unfortunately, I can't help you with (3). Sorry!
5x3/8x3+11x2/12+2
15/24+22/24
15+22/24
37/24
1 13/24
If you want the regular fraction its 37/24, if you want the mixed fraction its 1 13/24
Answer:
7/5
Step-by-step explanation:
This would be equal to 5/5 (the 1 hole) and 2/5
Answer:
Step-by-step explanation:
Any positive integer power of 10 is the number of times 10 multiply by itself. In case power remain zero then the result will be just one.
As given, we need to write 1000 as a power of 10
∴ 
