Answer:
Step-by-step explanation:
Hello!
Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"
X~Bi (n;ρ)
ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95
n= 390
x= 303
sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78
Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.
You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:
^ρ±
* √[(^ρ(1-^ρ))/n]
= 
= 2.58
0.78±2.58* √[(0.78(1-0.78))/390]
0.0541
[0.726;0.834]
With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.
I hope it helps!
Step-by-step explanation:
We can see that this adds by 20, then 100, and so on. Furthermore, it starts at 9, so we can write this as
∑9+20n
The 9 is because we start with 9, and we have a multiplier of 20, so we put the 20 in there as so. On the bottom of the sum notation, we should have n=1 (as when we plug that in, it's our first number) and at the top you can put a variable k as we don't know the maximum. I don't think I can put numbers at the bottom and top of the sum using the tools I have, so that's why I wrote it out
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
Assuming that the last four numbers are answer choices, your answer would be 11
Step-by-step explanation:
9/11 rounds up to 1, 1 + 18 = 19
3/8 rounds down, so you only have 8 for that one
19 - 8 = 11
Volume of a cylinder is V=pi r^2h =42.41
3/4 *42.41=31.81ft
