The answer is :
<span>A. Always
Also </span>
<span>If
two equations have different slopes but equivalent y-intercepts, they
will have one solution and that will be the point where the y-intercept
is. If two equations have different slopes and different y-intercepts,
then there will be one solution where those two lines meet. If two
equations have the same slope but different y-intercepts, the lines will
be parallel, and there is no possible intersection point. And if two
equations have equal slopes and equal y-intercepts, these lines will
have an infinite amount of solutions, because if the equations are one
the same line, every single point on that line is a solution to the
system. </span>
(4+5i)(4-5i)=(4)²-(5i)²=16-25(i)²=16-25(-1)=16+25=41
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)
Using scalar multiplication, it is found that 5u = <10,20>.
<h3>What is scalar multiplication?</h3>
- It is when a vector is multiplied by a constant, and it means that each term of the vector is multiplied by the constant.
In this problem, the vector is:
u = <2,4>
Since each term is multiplied by 5:
5u = <5 x 2, 5 x 4> = <10,20>.
To learn more about scalar multiplication, you can take a look at brainly.com/question/1821869
