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:
the answer is 4/9
Step-by-step explanation:
1/3= 3/9
Answer:
A
Step-by-step explanation:
Because parallel lines never meet so we assume any value of x
A table titled hours spent studying has entries 4, 5, 9, 15, 8, 2, 20, 1, 6, 9, 10, 8, 10, 8, 1, 2.
Sauron [17]
The range is the maximum value minus the minimum value. In this case would be 20 - 1 which is 19.
Answer:
R''(2, 1), S''(-1, 7), T''(2, 7)
Step-by-step explanation:
Rotation 90° CCW is accomplished by the transformation ...
(x, y) ⇒ (-y, x)
Translation 3 left and 8 up is accomplished by the transformation ...
(x, y) ⇒ (x -3, y +8)
Together, the two transformations give ...
(x, y) ⇒ (-y -3, x +8)
So your transformed points are ...
R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)
S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)
T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)
