Answer:
Mutually exclusive
Step-by-step explanation:
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: (3x+1)(x+2)
Step-by-step explanation:
You need to know what multiplied by what equals 2 and adds up to 7. You also need to know what multiplied by what equals 3x^2.
So since 3 has no other factor besides 1 we know that (3x+?)(x+?). 2 has no other factor besides 1 as well so you just need to know where to put the 2 and the 1.
(3x+1)(x+2) is the answer you can FOIL it to check it.
3x multiplied by x is 3x^2
3x multiplied by 2 is 6x
1 multiplied by x is just x or 1x
1 multiplied by 2 is 2
Add like terms: 6x+1x is 7x
So your final answer is (3x+1)(x+2)
Answer:
A. ZA+ZB =180
B. ZA is 135 and ZB is 45
Step-by-step explanation:since ZA and ZB are supplementary
ZA+Zb =180°
But ZA=3ZB
∴ 3ZB+ZB=180° ⇒4ZB=180°
∴ZB =45
