Cᴀɴ sᴏᴍᴇᴏɴᴇ ᴇxᴘʟᴀɪɴ ʜᴏᴡ ᴛᴏ ᴅᴏ 1 ᴀɴᴅ 2

Accepted Solution

Answer:1.Experimental : [tex]\frac{14}{25}[/tex] or 56%Theoretical : [tex]\frac{1}{2}[/tex] or 50%2.22 customersStep-by-step explanation:Theoretical is how many times you'd expect it to land. So for coin flipping it would be either heads or tails. The probability it would land on heads would be 50% because it's either one or the other.Experimental is how many times you actually landed it. You flipped a coin and it landed on heads 28 times, so you can put that over 50. Since [tex]\frac{28}{50}[/tex] can be simplified to [tex]\frac{14}{25}[/tex] or 56%, that is the experimental probability.For the second variation, we can assume that it is direct variation.[tex]y=kx[/tex]When [tex]y[/tex] increases, [tex]x[/tex] increases.Let's solve for [tex]k[/tex].[tex]11=50k \\ \\ k=\frac{11}{50}[/tex]We can plug that in to the second equation since we already know how many customers there will be.[tex]y=0.22k \\ \\ y=0.22(100) \\ \\ y=22[/tex]