first the square root of 4 is 2 so we can sub that in.
now we have 2(2*2)^-2.
2 * 2 of course is 4
with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.
so 4^-2 is the same as 1/4^2 or 1/16.
finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.
Answer:
5.5
Step-by-step explanation:
1+1+1 3/4+1 3/4= 5.5
5.5*2=11
11/2=5.5
Answer:
(E) None of these above are true.
Step-by-step explanation:
Married = 74% or 0.74
College graduates = 42% or 0.42
pr(married | college graduates) = 0.56
(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.
(B) These events are independent events. This is also false.
(C) These events are both independent and pairwise disjoint. False
(D) A worker is either married or a college graduate always. False
Here Probability(A or B) shall be 1
= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248
This is not equal to 1.
(E) None of these above are true. This is true.
h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So

divide whole equation by -16

we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
Answer:
÷
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×
Step-by-step explanation: Let me know if you need an explanation.