Is f(x) - 3 sin 2x-5 cos x a sinusoid

Yes, that's a sinusoidal function. Its close cousin is the sine function.

Its amplitude is the absolute value of -3, which comes out to 3.

Its period is 2π/b, where b is the coefficient of x. Here, 2π/b is 2π(2), or 4π. Drawing your first cycle of this cosine function, you'll begin at (0,-3) and end at (4π, -3).

There's also a phase shift to think about. It's -c/b, which here is -(-5)/2, or 5/2.

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step-by-step explanation:

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: