5. A fair coin is spun 5 times, and the outcome of H/T is recorded each time. How many H/T sequences are possible these 5 spins? a. List the values that this variable "number of Heads" can assign and the probabilities for each of these values.

heudhduxhdnshenebdutbbt

step-by-step explanation:

hrhhdhdbbrurb ees

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)