F(x)=sin(πx4) Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Graph is below

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Explanation:

If we plugged in x = 0, then we get...

Therefore, this sine curve goes through the origin. More specifically, this point is on the midline y = 0, aka the x axis. This is point A in the diagram below, which I made with GeoGebra (free graphing software).

Now to find another point on this sine curve. We need either a min or max point. Note that the expression is the same as . We will divide 2pi over the coefficient of pi/4 to get

(2pi) divide (pi/4) = 2pi * 4/pi = 8

This tells us the period of this sine curve is 8 units in the horizontal x axis direction. The distance from midline to the nearest peak or valley is 1/4 of this, so (1/4)*8 = 2 units. Move 2 units to the right to arrive at x = 2. Plug this into the original function to get the following:

This matches with the fact that sin(x) maxes out at 1. So we've reached a max or highest point here. The location of which is B(2,1).

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9