Answer:
Step-by-step explanation:
Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.
Suppose that
P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68
From the above we can find out
P(A) = 
P(B) = 
P(AUB) = 0.68 =
a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30
b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates
= P(A)-P(AB)+P(B)-P(AB)
c) the probability that a randomly selected voter has an unfavorable view of at least one of these candidates
=P(A'UB') = P(AB)'
=
Let
One Number = x
Second Number =x-10
Third Number=x/2
Sum of three numbers is 50
x+x-10+x/2=50
2x-10+x/2=50
Multiply by 2 both sides
2*(2x-10+x/2)=50*2
4x-20+x=100
5x=100+20
5x=120
x=120/5
x=24
One number = x=24
Second number =x-10=24-10=14
Third number= x/2=24/2= 12
Answer:
(-4,-19)
Step-by-step explanation:
Substitute the points into the equation and see if it is true
y = 4x-3
-3 = 4(4) -3
-3 = 16-3
-3 = 13 false
-19 = 4(-4) -3
-19 = -16-3
-19 -19 true
Standard form for equations is ax + by = c. So all we have to do is transfer this equation into standard form. But, in standard form, there can also be no denominators, so our first step is to multiply each side of the equation by 5 to get rid of all denominators. The equation becomes 5y = 3x + 20. Now we need to get 20 on one side, which we can do by subtracting 3x from each side. The equation becomes -3x + 5y = 20, giving us our final answer of -3x + 5y = 20.
the y intercept would be -1
