Answer:
29.37% probability that exactly five of the first nine sold have cracked screens
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the smartphones are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
Desired outcomes:
5 with cracked screens, from a set of 7.
9-5 = 4 with good screens, from a set of 15-7 = 8.
So
![D = C_{7,5}*C_{8,4} = \frac{7!}{5!(7-5)!}*\frac{8!}{4!(8-4)!} = 1470](https://tex.z-dn.net/?f=D%20%3D%20C_%7B7%2C5%7D%2AC_%7B8%2C4%7D%20%3D%20%5Cfrac%7B7%21%7D%7B5%21%287-5%29%21%7D%2A%5Cfrac%7B8%21%7D%7B4%21%288-4%29%21%7D%20%3D%201470)
Total outcomes:
Nine phones, from a set of 15. So
![T = C_{15,9} = \frac{15!}{9!(15-9)!} = 5005](https://tex.z-dn.net/?f=T%20%3D%20C_%7B15%2C9%7D%20%3D%20%5Cfrac%7B15%21%7D%7B9%21%2815-9%29%21%7D%20%3D%205005)
Probability:
![p = \frac{D}{T} = \frac{1470}{5005} = 0.2937](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B1470%7D%7B5005%7D%20%3D%200.2937)
29.37% probability that exactly five of the first nine sold have cracked screens
Answer:
its gon be a mixed number tho: 1 1/3
Step-by-step explanation:
Answer:
Horizontal lines have a slope of zero no matter where the line is graphed. This is because the rise of any horizontal line will always be zero, regardless of the x values.
1min=4 newspapers
3min=12 newspapers
how I got 1min=4 newspapers
so I took how he got 20 newspapers in 5 min divided 20 by 5
which I got 4 out of than I did 4x3 and got 12 which means 3mins= 12 newspapers
brainleys please
Answer:
![g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B%5Cfrac%7B1%7D%7B9%7D%2B%5Cfrac%7B2%5Csqrt%7Bx%7D%7D%7B3%7D)
Step-by-step explanation:
Given functions: h(x) = (fog)(x) , h(x) = 3√x + 3 and f(x) = 3√x + 2
To find: function g(x)
Consider,
(fog)(x) = h(x)
f( g(x) ) = h(x)
![3\sqrt{g(x)}+2=3\sqrt{x}+3](https://tex.z-dn.net/?f=3%5Csqrt%7Bg%28x%29%7D%2B2%3D3%5Csqrt%7Bx%7D%2B3)
![3\sqrt{g(x)}=3\sqrt{x}+1](https://tex.z-dn.net/?f=3%5Csqrt%7Bg%28x%29%7D%3D3%5Csqrt%7Bx%7D%2B1)
![\sqrt{g(x)}=\frac{3\sqrt{x}+1}{3}](https://tex.z-dn.net/?f=%5Csqrt%7Bg%28x%29%7D%3D%5Cfrac%7B3%5Csqrt%7Bx%7D%2B1%7D%7B3%7D)
![\sqrt{g(x)}=\sqrt{x}+\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%7Bg%28x%29%7D%3D%5Csqrt%7Bx%7D%2B%5Cfrac%7B1%7D%7B3%7D)
![g(x)=(\sqrt{x}+\frac{1}{3})^2](https://tex.z-dn.net/?f=g%28x%29%3D%28%5Csqrt%7Bx%7D%2B%5Cfrac%7B1%7D%7B3%7D%29%5E2)
![g(x)=(\sqrt{x})^2+(\frac{1}{3})^2+2\times\frac{1}{3}\times\sqrt{x}](https://tex.z-dn.net/?f=g%28x%29%3D%28%5Csqrt%7Bx%7D%29%5E2%2B%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%2B2%5Ctimes%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5Csqrt%7Bx%7D)
![g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B%5Cfrac%7B1%7D%7B9%7D%2B%5Cfrac%7B2%5Csqrt%7Bx%7D%7D%7B3%7D)
Therefore, ![g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B%5Cfrac%7B1%7D%7B9%7D%2B%5Cfrac%7B2%5Csqrt%7Bx%7D%7D%7B3%7D)