Answer:
Not independent
Step-by-step explanation:
Given that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and the wife smoke.
Let A be the event that husbands smoke and B the event that wives smoke
Give that

To check whether A and B are independent it is sufficient to check
P(A\bigcap B)=P(A)P(B)
Right side=
Left side = 0.08
Since two sides do not equal the two events are not independent.
If you sort out the fractions better I can for sure help:)) I just need to know every fraction it’s hard to tell by what you wrote:))
Possible derivation:
d/da(4 - 8 a)
Differentiate the sum term by term and factor out constants:
= d/da(4) - 8 (d/da(a))
The derivative of 4 is zero:
= -8 (d/da(a)) + 0
Simplify the expression:
= -8 (d/da(a))
The derivative of a is 1:
= -8 1
Simplify the expression:
Answer: = -8
Yes cause the tree is the only and best way to do it
Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.

or 
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).