Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
When using graphs to find proportional and nonproportional is easy. When it's proportional it goes right through the origin and it's nonproportional it doesn't go through the origin.
Plug in 30ft for L and 2310 for n so you will get 2310=7(30)(h)... h would equal 11ft
5(3)(t+6)^2 = .5(5)(t)^2
<span>t=20.62 seconds </span>
<span>20.62 seconds</span>
So here is how we find the answer to this given problem.
<span>The formula for area is: A=(l)(w)
So, A=(2x)(8-x²)
A=16x-2x³
dA/dx = 16-6x²
then you will use calculus to get the absolute local maximum of x
by letting dA/dx = 0
then wha you will get is x = 2sqrt(6)/3
so the area would be= 64 * sqrt(6) / 9
</span>or 64√<span><span>6/</span>9.
Based on the choices given, the answer would be option D.
Hope this answer helps.</span>
