Answer:
153.8 I guess... this is your answer
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
Step-by-step explanation:
y=kx,where :k, is the constant
-4=6k
K=-4/6
y=(-4/6)x
Answer:
We are given:
Margin of error
Confidence level = 0.99
We need to find the sample size to estimate the proportion of people who carry the TAS2R388 gene.
The formula for finding the sample size is:
Where:
is the critical value at 0.01 significance level.
Therefore, the required sample size is:
Therefore, the required sample size is 3774
Answer:
125.6 cm²
Step-by-step explanation:
the area of sector = 225/360×3.14×8²
= ⅝ × 3.14 × 64
= 3.14 × 40
= 125.6 cm²