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Based on a poll,60% of adults believe in reincarnation. Assume that 4 adults are randomly selected and find the indicated probability.

A. The probability that exactly 3 of the 4 adults believe in reincarnation is?


 Suppose you randomly select k of the first 2016 positive integers. What is the smallest k that guarantees that at least one pair of the selected integers will sum to 2017?


5. You have 5 different-colored bottles, each with a distinct cap. In how many ways can these caps be put on the bottles such that none of the caps are on the correct bottles? (Assume that all the caps must be on the bottles.) 


Given an=an−1−6an−2 where a0=1 a2=5

a.) list the first 10 terms of the sequence

b.) find a closed form(solve the recurrence relations) 


 Consider the recurrence relation an=4 an−1−4 an−2

Find the general solution to the recurrence relation and the solution when a0=−2 and a1=3.


1. A woman's sister has cystic fibrosis, a disease caused by recessive genes. Neither of her parents has the disease. What chance is there that her mother is a carrier (heterozygous) for the trait? What chance is there that the woman herself is a carrier for the trait?  

2. Huntington's disease is a degenerative disease of the nervous system which does not show up until age 40. It is caused by a dominant gene. John's father just began to show the symptoms. What is the chance that John will have the disease?

Suppose the price elasticity of demand for a basket of fruits is -5.0. You are currently charging $42 per basket. If you want to increase the quantity of fruit baskets sold by 20 percent, you should charge a price equal to $_____.  Use midpoint formula.

There ate 10 students in a cafeteria. If X denotes the number of males, what are the possible values of X?

500.g of brass (c=.0920 cal/g°C) at 200.°C and 300.g of steel (c=.115 cal/g°C) at 150.°C are added to 900.g of water (c=1 cal/g°C) in a 150.g Aluminum pan (c=.220 cal/g°C), both of which are at 20.0°C. Find the common equilibrium temperature.

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