Acoin is tossed twice. what is the probability of tossing heads and then tails, given that the coin already shows heads in the first toss?

a. 1/6
b. 1/4
c. 1/2
d. 1/3

Option C is the correct answer.

Step-by-step explanation:

We need to find the probability of tossing heads and then tails. We are given that first toss already shows heads. So now we need to find the probability of second toss showing tail.

Since the coin has only two faces probability of head or tail in one toss = 1/2.

So the probability of tossing heads and then tails = 1/2

Option C is the correct answer.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204