Answer:
2ft^3
Step-by-step explanation:
Volume= L× W× H
![volume = 1 \times 1 \times 2](https://tex.z-dn.net/?f=volume%20%3D%201%20%5Ctimes%201%20%5Ctimes%202)
![volume = 2ft^{3}](https://tex.z-dn.net/?f=volume%20%3D%202ft%5E%7B3%7D%20)
~
Answer:
4n - 10
Step-by-step explanation:
Jay: n tickets
Pillar: 3n tickets
Jay + Pillar = n + 3n = 4n tickets
Now, Jay and Pillar together sold 10 more tickets than Amie, which means, in reverse, Amie sold 10 less tickets than Jay and Pillar together, so the expression for the number of tickets sold by amie would be:
4n-10 (4n is the number of tickets Jay and Pillar sold together, 10 is the difference between them and Amie).
its 7/4 decimal 1.75 add the numbers; 4+2+1=7
Answer:
Mean is 19.43
Standard deviation is 2.5322
Step-by-step explanation:
For each student who graduated from high school in 2012, there are only two possible outcomes. Either they have enrolled in college, or they have not. The probability of a student having enrolled in college is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
![E(X) = np](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np)
The standard deviation of the binomial distribution is:
![\sqrt{V(X)} = \sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D)
67% of students who graduated from high school in 2012 enrolled in college.
This means that ![p = 0.67](https://tex.z-dn.net/?f=p%20%3D%200.67)
Sample of 29 high school graduates
This means that ![n = 29](https://tex.z-dn.net/?f=n%20%3D%2029)
Mean
![E(X) = np = 29*0.67 = 19.43](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%2029%2A0.67%20%3D%2019.43)
Standard deviation
![\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{29*0.67*0.33} = 2.5322](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D%20%3D%20%5Csqrt%7B29%2A0.67%2A0.33%7D%20%3D%202.5322)