Answer: 15%
Step-by-step explanation: To find what percent of free throws the player misses we will have to write a percent equation.
For this situation the equation 17/20 = x/100 will work.
This means that if the player made 17 free throws out of 20, what percent did he make.
Solve for x.
17/20 = x/100
17/20 x 100 = x/100 x 100
1700/20 = x
85 = x
The basketball player made 85% of his free throws.
You want to find the percent of free throws he misses.
So you can simply subtract 100% from 85% to get 15%
The basketball player misses 15% of his free throws.
Answer:
The probability that no more than 6 students belong to a ethnic minority is 0.9815.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that no more than 6 belong to an ethnic minority?</em>
We can model this with a random variable, with sample size n=10 and probability of success p=0.33.
The probability that k answers are guessed right in the sample is:
![P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{10}{k}\cdot0.33^k\cdot0.67^{10-k}](https://tex.z-dn.net/?f=P%28x%3Dk%29%3D%5Cdbinom%7Bn%7D%7Bk%7Dp%5Ek%281-p%29%5E%7Bn-k%7D%3D%5Cdbinom%7B10%7D%7Bk%7D%5Ccdot0.33%5Ek%5Ccdot0.67%5E%7B10-k%7D)
We have to calculate the probability that 6 or less students belong to a ethnic minority. This can be calculated as:
![P(x\leq6)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)\\\\\\](https://tex.z-dn.net/?f=P%28x%5Cleq6%29%3DP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%2BP%28x%3D6%29%5C%5C%5C%5C%5C%5C)
![P(x=0)=\dbinom{10}{0}\cdot0.33^{0}\cdot0.67^{10}=1\cdot1\cdot0.0182=0.0182\\\\\\P(x=1)=\dbinom{10}{1}\cdot0.33^{1}\cdot0.67^{9}=10\cdot0.33\cdot0.0272=0.0898\\\\\\P(x=2)=\dbinom{10}{2}\cdot0.33^{2}\cdot0.67^{8}=45\cdot0.1089\cdot0.0406=0.1990\\\\\\P(x=3)=\dbinom{10}{3}\cdot0.33^{3}\cdot0.67^{7}=120\cdot0.0359\cdot0.0606=0.2614\\\\\\](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%5Cdbinom%7B10%7D%7B0%7D%5Ccdot0.33%5E%7B0%7D%5Ccdot0.67%5E%7B10%7D%3D1%5Ccdot1%5Ccdot0.0182%3D0.0182%5C%5C%5C%5C%5C%5CP%28x%3D1%29%3D%5Cdbinom%7B10%7D%7B1%7D%5Ccdot0.33%5E%7B1%7D%5Ccdot0.67%5E%7B9%7D%3D10%5Ccdot0.33%5Ccdot0.0272%3D0.0898%5C%5C%5C%5C%5C%5CP%28x%3D2%29%3D%5Cdbinom%7B10%7D%7B2%7D%5Ccdot0.33%5E%7B2%7D%5Ccdot0.67%5E%7B8%7D%3D45%5Ccdot0.1089%5Ccdot0.0406%3D0.1990%5C%5C%5C%5C%5C%5CP%28x%3D3%29%3D%5Cdbinom%7B10%7D%7B3%7D%5Ccdot0.33%5E%7B3%7D%5Ccdot0.67%5E%7B7%7D%3D120%5Ccdot0.0359%5Ccdot0.0606%3D0.2614%5C%5C%5C%5C%5C%5C)
![P(x=4)=\dbinom{10}{4}\cdot0.33^{4}\cdot0.67^{6}=210\cdot0.0119\cdot0.0905=0.2253\\\\\\P(x=5)=\dbinom{10}{5}\cdot0.33^{5}\cdot0.67^{5}=252\cdot0.0039\cdot0.135=0.1332\\\\\\P(x=6)=\dbinom{10}{6}\cdot0.33^{6}\cdot0.67^{4}=210\cdot0.0013\cdot0.2015=0.0547\\\\\\\\\\\\](https://tex.z-dn.net/?f=P%28x%3D4%29%3D%5Cdbinom%7B10%7D%7B4%7D%5Ccdot0.33%5E%7B4%7D%5Ccdot0.67%5E%7B6%7D%3D210%5Ccdot0.0119%5Ccdot0.0905%3D0.2253%5C%5C%5C%5C%5C%5CP%28x%3D5%29%3D%5Cdbinom%7B10%7D%7B5%7D%5Ccdot0.33%5E%7B5%7D%5Ccdot0.67%5E%7B5%7D%3D252%5Ccdot0.0039%5Ccdot0.135%3D0.1332%5C%5C%5C%5C%5C%5CP%28x%3D6%29%3D%5Cdbinom%7B10%7D%7B6%7D%5Ccdot0.33%5E%7B6%7D%5Ccdot0.67%5E%7B4%7D%3D210%5Ccdot0.0013%5Ccdot0.2015%3D0.0547%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C)
![P(x\leq6)=0.0182+0.0898+0.1990+0.2614+0.2253+0.1332+0.0547\\\\\\P(x\leq6)=0.9815](https://tex.z-dn.net/?f=P%28x%5Cleq6%29%3D0.0182%2B0.0898%2B0.1990%2B0.2614%2B0.2253%2B0.1332%2B0.0547%5C%5C%5C%5C%5C%5CP%28x%5Cleq6%29%3D0.9815)
The probability that 6 or less students belong to a ethnic minority is 0.9815.
They are both periodic functions that look like waves. They both have a period of 2pi and oscillate between 1 and -1.
5x:2x
2x=38 so to solve for x, divide both sides by 2 --> x=19
Now multiply x by 5 to find big town's score --> 5*19=95
Mitosis is division of your body cells and meiosis is the same thing but for your sex cells