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:
#We find probabilities for the different values of i:
Hence, probability of the stronger team winning overall is:
#Define Y as the random variable for winning 2/3 games.:
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)
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The marked sides are proportional, so we have ...
x/8 = (x +5)/12
3x = 2(x +5) . . . . . multiply by 24 to clear fractions
3x = 2x + 10 . . . . . eliminate parentheses
x = 10 . . . . . . . . . . subtract 2x
_____
<em>Alternate solution</em>
We observe that the difference between the upper segment lengths is ...
(x +5) -(x) = 5
and the difference between the lower segment lengths is ...
12 -8 = 4
This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...
x = (5/4)(8) = 10
Last week, Christopher drove 480 miles
This week, Christopher drove 360 miles
The difference in miles this week compared to last week = 480 - 360 = 120 miles.
The percentage of decrease in miles compared to last week's = (Difference in miles ÷ Total miles last week) multiplied by 100 = (120 ÷ 480) x 100 = 0.25 x 100 = 25%
