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:
d=-3
Step-by-step explanation:
d3+27=0
Step 1: Subtract 27 from both sides.
d3+27−27=0−27
d3=−27
Step 2: Take cube root.
d=(−27)(
1
3
)
d=−3
Answer:
r in terms of p is 15/p , and when p is -5 than x = - 3
Answer:
∠MDP = 90° = Right angle
∠MDP = 180° = Straight angle
∠ODM = 90° = Right angle
∠OND = Not an angle
∠NDO = 90° = Right angle
∠NDM = 180° = Straight angle
∠PMN = Not an angle
∠PDO = 180° = Straight angle
∠PDN = 90° = Right angle
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Answer:
202
Step-by-step explanation:
So it has to end in 2 because 20t+22 will always be a 2.
day1:
17x1+49=66
no 2
day2:
17x2+49=83
odd
day3:
D=100
no 2
day4:
odd
day5:
D=134
no 2
etc
keep adding 17 to D until you get one that ends in 2
D=202
A=202