Step-by-step explanation:
V=(4/3) * πr^3
V=(4/3) * π * 7.6 ^3
V=(4/3) * π * 438.976
V= π * 585.301333
V = 1837.85 inch^3
3.14 for pi btw
Answer:
a) 2.0702
b) 2.07
Step-by-step explanation:
Given:
Sample, n = 840
standard deviation, σ = 60
a) The standard deviation of the sampling distribution, will be:
= 2.0702
Standard deviation of the sampling distribution is 2.0702
b) According to the 68 part of the 68-95-99.7 rule, 68% of all values of x fall within 1 standard deviation on either side of the unknown mean μ.
Therefore, missing number will be:
![1 * [\frac{\sigma}{\sqrt{n}}]](https://tex.z-dn.net/?f=%201%20%2A%20%5B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5D%20)
= 1 * 2.0702
= 2.0702 ≈ 2.07
6 x 2 + 4 x 3 = 12 + 12 = 24
Answer:
minus 15
Step-by-step explanation:
times the bottom by the right hand side
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
