Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:
(b) The probability of winning a 6/53 lottery is given by:
(c) The probability of winning a 6/51 lottery is given by:
(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:
It is 1.6417 times more probable.
G(x) = 3x + 5
y = 3x + 5
3x = y - 5
x = (y - 5)/3
Therefore, g^-1(x) = (x - 5)/3
Soh cah toa formula
n n n n n n
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07
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<span>2x+<span>(2x+2)</span>=234</span>
<span>4x=232</span>
<span>x=58</span>
So, <span>2x=2<span>(58)</span>=116</span>
<span>116+118=234</span>
