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:
Step-by-step explanation:
well its 4.5-5.25= -0.75
Answer:
4x^{3} + 6x^{2} -10x -15
Step-by-step explanation:
(2x+3)(2x^{2} -5)
2x × 2x^{2} + 2x× (-5) + 3× 2x^{2} + 3 ×(-5)
=4x^{3} -10x + 6x^{2} -15
= 4x^{3} + 6x^{2} -10x -15
Answer: The answer could be C because is the image of the rotation by 90 degrees clockwise. I hope its right
Answer:
x
Step-by-step explanation:
The center of the circle is in the middle of the circle
X is the center of the circle
