If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear?

2048

Step-by-step explanation:

Here’s an example for 2 flips: HH - HT - TT - TH. (That’s 2*2, or 2^2)

Here’s 3 flips: HHH - HHT - HTH - HTT - THH - THT - TTH - TTT. (That’s 2*2*2, or 2^3).

For 11 flips, it’s 2^11… which is 2048

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get