Answer:
n is a positive integer and here 90, 91, 92, 93, 94 and 95 is 9⁰ = 1
9¹ = 9
9² = 81
9³ = 729
9⁴ = 6561
9⁵ = 59049
so mathematical induction is prove given below.
Step-by-step explanation:
9⁰ = 1
9¹ = 9
9² = 81
9³ = 729
9⁴ = 6561
9⁵ = 59049
lets us consider by P (n) for the base case n = 0 then 9⁰ = 1 So P (1) is true
k ≥ 1so consider all integers
1≤l≤ k
There is a need to prove P (k+1)
if k is odd
=
.9.
is 9 so
= 9 +10m
then
= 9 ( 9 + 10m)
=81 + 10 (9m)
so digit is 1 and k +1 is even
(2h – 3)(3h + 4) is the same thing as
2h(3h + 4) - 3(3h + 4)
6h^2 + 8h - 9h - 12
6h^2 - h - 12
Answer B.
Add the areas of 6 rectangles and 2 triangles.
Answer:
Step-by-step explanation:
Given that a poll showed the approval rating to be 0.45 (45 %)
Second poll n =2500: sample p = 1185/2500 = 0.474
H0: p = 0.45
Ha: p not equals 0.45
(Two tailed test)
p difference = 0.024
z-statistic 0.179
Significance level P = 0.8577
95% CI of observed proportion 0.24% to 0.83%
Since p>0.05 we accept null hypothesis
The results of the second poll do not indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level
In this item, we are given with the exponential equation that predicts the amount that Mary is able to obtain through her initial investment. The characters are well identifiable. 3.03 is the initial investment, 28% is the rate and x is the number of years. Thus, the answer is 3.03.
