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  1. The probability that Tim will sink a foul shot is 70%. If Tim attempts 10


   foul shots, what is the probability that

a)    he sinks exactly 7 shots

b)   he sinks at least 7 shots

c)    he sinks at most 7 shots

d)   he sinks between 4 and 6 shots, inclusive.





Gary Rosenberg has a personal injury protection policy that covers each person in , on, around, or under his car for medical expenses as a result of an accident. Each person can collect up yo 50,000 Craig is jnvolved in an accident and three people are hurt 500 worth of medical expenses, and Craig himself had a medical expense totaling 70?000 how much money must the insurance company pay out for these three people



a car loan should be fully repaid in 60 monthly installments of 5 million. if the loan is 250 million, what is the effective interest rate j12 of the loan


Explain how the value of the median is determined for a data set that contains an odd number of ob-

servations and for a data set that contains an even number of observations.


Graph the following function:

y= ex / x2

Ensure that you include the following properties:

  • Asymptote, x, y – intercepts, Domain and Range
  • First derivative, Maximum and Minimum
  • Second derivative, inflection points
  • Regions or increasing and decreasing
  • Regions or concave up and concave down
  • Sketch of the graph

The average time it takes a group of college students to complete a certain examination is 32 minutes. The standard deviation is 6 minutes. Assume that the variable is normally distributed.

If 64 randomly selected college students take the examination, what is the probability that the mean time it takes the group to complete the test will be less than 36 minutes?


Consider the conic represented by 4(x²+2y)=9. Now shift the origin to (1,-1) and then rotate the axes through π/3 What is the resultant equation? What geometrical object does it represent?

Determine whether W = {(x, y,z) | x + y + z + 1 = 0, x, y,z ∈ R} a subspace of R³ or


not?

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