Answer:
1047.2 cubic inches
Step-by-step explanation:
V = 4(pi)(r³/3)
V = 4(pi)(125/3)
V = 523.6 cubic inches (1 ball)
V = 2(523.6) = 1047.2 cubic inches (total)
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!
Answer:
Egg salad sandwich is proportional to its length
Step-by-step explanation:
Weight of Sandwiches by Length of Roll
6-inch Roll 12-Inch Roll
Cheese sandwich
![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Chicken salad sandwich
![1\frac{3}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B4%7D)
Egg salad sandwich
![1\frac{1}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B3%7D)
For cheese sandwich proportion
![\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C24%20%5Cneq%2016)
So, Cheese sandwich weight is not proportional to its length
For Chicken salad sandwich proportion
![\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B7%7D%7B4%7D%7D%5C%5C8%20%5Cneq%20%5Cfrac%7B48%7D%7B7%7D)
So, chicken salad sandwich is not proportional to its length
For Egg salad sandwich proportion
![\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Cfrac%7B12%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D%5C%5C9%3D9)
So, egg salad sandwich is proportional to its length
*Answer:*
x = 5
*step-by-step solution*
Step-by-step explanation:
44 month old
12 months=1 year
44÷12=3 2/3
3 2/3 years