262,144,000,000 is your answer to your question
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
Answer:
10 10/11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Points: (0,3) and (-4,-1)
Formula
x = 0 to find the y intercept
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 3
y1 = - 1
x2 = 0
x1 = - 4
m = (3 - -1)/(0 - - 4)
m = 4/4
m = 1
You have y = mx + b so m = 1
the general equation becomes y = x + b
Use point (0,-4)
y = x + b
- 4 = 0 + b
b = - 4
y = x - 4
