Answer:
1. Equatoin = y = 2/9x + 1 Slope = 2/9 Y- interpects= 1
2.Equatoin = y= 7/5x - 7 Slope = 7/5 Y- interpects= 7
Step-by-step explanation:
Answer:
(a,a)
Step-by-step explanation:
Keep in mind that the vertical line represents the y axis and the horizontal line represents the x axis
We want to find the coordinates of C
We can do this by looking at the given coordinates and the axis..
We are given that B is at (0,a) and we are given that D is at (a,0)
Now looking at C, we can tell that C shares the same y value as B and the same x value as D
If B has a y value of a and D has an x value of a then C would have an x and y value of a
Hence C would be at (a,a)
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
