Answer:
0.97725
Step-by-step explanation:
Given :
Population mean, μ = 4.2
Population standard deviation, σ = 1.8
Sample size, n = 36
Obtain the Zscore of x = 4.8
Zscore = (x - μ) ÷ (σ / √n)
Zscore = (4.8 - 4.2) ÷ (1.8 / √36)
Zscore = 0.6 ÷ 0.3
Z = 2
Hence,
P(Z ≤ 2)
Using the Z probability calculator :
P(Z ≤ 2) = 0.97725
Answer:
171 cubic inches
Step-by-step explanation:
The volume of the prism can be found using the formula V = B*h. Here B is the area of the base which is 18 and h = 9.5.
V = 18*9.5 = 171 cubic inches
Answer: not sure
but I need points
Step-by-step explanation:
JUST KIDDING It’s A I did this in school before and got it correct :)
She subtracted 6 from a certain number and then divided the result by 3, giving her 35.
(x - 6) / 3 = 35
x - 6 = 35*3
x - 6 = 105
x = 105 + 6
x = 111
so she should have subtracted 3, then divided by 6
(111 - 3) / 6 = 108/6 = 18 <===
It looks like the sequence might be
![a_n = \dfrac{e^n + e^{-n}}{e^{2n - 3}}](https://tex.z-dn.net/?f=a_n%20%3D%20%5Cdfrac%7Be%5En%20%2B%20e%5E%7B-n%7D%7D%7Be%5E%7B2n%20-%203%7D%7D)
which we can simplify by dividing through by
to get
![a_n = \dfrac{1 + e^{-2n}}{e^{n - 3}} = \dfrac1{e^{n-3}} + \dfrac1{e^{3n - 3}}](https://tex.z-dn.net/?f=a_n%20%3D%20%5Cdfrac%7B1%20%2B%20e%5E%7B-2n%7D%7D%7Be%5E%7Bn%20-%203%7D%7D%20%3D%20%5Cdfrac1%7Be%5E%7Bn-3%7D%7D%20%2B%20%5Cdfrac1%7Be%5E%7B3n%20-%203%7D%7D)
As
, both terms, and hence the given sequence will converge to 0.