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:
Miles using 4.5 gallons = 114 miles
Miles using 1 gallon
(114 miles / 4.5 gallons)
32 miles / gallon
Step-by-step explanation:
sorry if wrong
Answer:
∠2 = 78°
Step-by-step explanation:
Angle of a straight line is 180°.
So, that would mean ∠1 + ∠2 = 180°.
⇒ ∠2 = 180° - ∠1
⇒ ∠2 = 180° - 102°
⇒ ∠2 = 78°
Hence, the answer.
X² -25 = 0
We can use formula a² -b² =(a-b)(a+b)
x² - 5² =0
(x-5)(x+5)=0
x+5 =0 or x-5 = 0
x=-5 or x=5
Answer is x=-5, x=5
