Answer:
The answer is 440 miles.
Step-by-step explanation:
You add up the miles that have already been driven and subtract them from the total number of miles. this will give you 440 miles.
Answer:
i think its -1 box but im not sure
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Assuming the fractions are being multiplied
Factorise the denominators of both fractions
x² - 3x - 10 = (x - 5)(x + 2)
x² + x - 12 = (x + 4)(x - 3)
The product can now be expressed as
× ![\frac{x+2}{(x+4)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7B%28x%2B4%29%28x-3%29%7D)
Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving
= ![\frac{1}{x^2+x-12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E2%2Bx-12%7D)
Basically you’re multiplying them both
(x^3 + 2x - 1)(x^4 - x^3 + 3)
so you need to make sure you multiply each one, if you do it right, you should end up with
x^7 - x^6 + 3x^3 + 2x^5 - 2x^4 + 6x -x^4 +x^3 -3
simplify by adding like terms
x^7 - x^6 + 2x^5 - 3x^4 + 4x^3 + 6x - 3
your answer would be the third option
Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:
![P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\ i=4,5,6,7](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%7B%7Bi-1%7D%5Cchoose%20%7B4-1%7D%7D0.6%5E40.4%5E%7Bi-4%7D%2C%5C%20%20i%3D4%2C5%2C6%2C7)
#We find probabilities for the different values of i:
![P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%7B3%5Cchoose%203%7D0.6%5E4%3D0.1296%5C%5C%5C%5CP%28X%3D5%29%3D%7B4%5Cchoose%203%7D0.6%5E40.4%5E1%3D0.2074%5C%5C%5C%5CP%28X%3D6%29%3D%7B5%5Cchoose%203%7D0.6%5E40.4%5E2%3D0.2074%5C%5C%5C%5CP%28X%3D4%29%3D%7B6%5Cchoose%203%7D0.6%5E40.4%5E3%3D0.1659)
Hence, probability of the stronger team winning overall is:
![=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103](https://tex.z-dn.net/?f=%3DP%28X%3D4%29%2BP%28X%3D5%29%2BP%28X%3D6%29%2BP%28X%3D7%29%5C%5C%5C%5C%3D0.7103)
#Define Y as the random variable for winning 2/3 games.:
![P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480](https://tex.z-dn.net/?f=P%28Y%3D2%29%3D%7B1%5Cchoose%201%7D0.6%5E2%3D0.3600%5C%5C%5C%5CP%28Y%3D3%29%3D%7B2%5Cchoose3%7D0.6%5E20.4%3D0.2880%5C%5C%5C%5CP%28win%29%3D0.2880%2B0.3600%3D0.6480)
Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)