Suppose that you continually collect coupons and that there are m different types. suppose also that each time a new coupon is obtained, it is a type i coupon with probability pi, i = 1, . . ,m. suppose that you have just collected your nth coupon. what is the probability that it is a new type? hint: condition on the type of this coupon.

What is an equation of the line that passes through the point (-2,3) and is parallel to the line whose equations is y=3/2x-4? i am stuck between y=3/2x or y=3/2x+6 : (

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

The vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation