Answer:
![4\sqrt{5}](https://tex.z-dn.net/?f=4%5Csqrt%7B5%7D)
Step-by-step explanation:
![\sqrt{80}](https://tex.z-dn.net/?f=%5Csqrt%7B80%7D)
![\sqrt{16} \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D%20%5Csqrt%7B5%7D)
![4\sqrt{5}](https://tex.z-dn.net/?f=4%5Csqrt%7B5%7D)
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
![E(X) = \frac{1}{P(X)}=\frac{1}{0.4} \\E(X) = 2.5\ shots](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%5Cfrac%7B1%7D%7BP%28X%29%7D%3D%5Cfrac%7B1%7D%7B0.4%7D%20%20%5C%5CE%28X%29%20%3D%202.5%5C%20shots)
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
![E=99*0.6\\E=59.4\ shots](https://tex.z-dn.net/?f=E%3D99%2A0.6%5C%5CE%3D59.4%5C%20shots)
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
![s=\sqrt{n*p*(1-p)}\\ s= 4.87\ shots](https://tex.z-dn.net/?f=s%3D%5Csqrt%7Bn%2Ap%2A%281-p%29%7D%5C%5C%20s%3D%204.87%5C%20shots)
The standard deviation is 4.87 shots.
The answer is A. It is .015 between .19137 and .17637 and also between .17637 and .16137.
Hope that helps
The first sequence, it is increase +1 for every number, because 2-3 is 1, 3 - 5 is 2, and 5 - 8 is 3. So, lets add 4 to 8, and we will know the next number of the sequence.
4 + 8 = 12
So, the next number in the first sequence is:
1, 1, 2, 3, 5, 8, 12
Second Sequence:
The second equation is doing exactly the same thing (it increases by 1 every number it goes) just this one is decreasing.
Proof: 26 - 24 is 2, 24 - 21 is 3, and 21 - 17 is 4.
Lets subtract 5 to 17 to know the next number.
17 - 5 = 12
So our next number is:
26, 24, 21, 17, 12
Answer:
Step-by-step explanation:
Relatively less golf and attend relatively more concerts whenever his leisure time becomes more scarce.
- This is called the marginal utility, that with every successive unit that utility decreases. With each passing hour while playing golf Joe is less inclined to play for an extra hour. When leisure time is less than 2 hrs he is equally likely to opt out of golf for concert.