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)
Answer:
x = 0
Step-by-step explanation:
3(x - 1) = 2x - 3 + 3x
3x - 3 = 2x - 3 + 3x
0 - 3 = 2x - 3
0 = 2x
2x = 0
x = 0 ÷ 2
<u>x</u><u> </u><u>=</u><u> </u><u>0</u>
Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :
Now , vector of magnitude 3 in direction v is :
Hence , this is the required solution .
Answer:
C
Step-by-step explanation:
First, set up the equation using the point-slope formula (y-y1)=m(x-x1).
y1=-4 x1=-3 m=-7/2
(y+4)=-7/2(x+3)
Second, distribute -7/2.
(y+4)=(-7/2)x - 21/2
Third, subtract 4 from both sides.
(y+4)=(-7/2)x - 21/2
-4 -4
______________
y=(-7/2)x - 29/2
