There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010 The number of applications has risen linearly by roughly 150 per year. The number of applications f x is given by f x = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g x = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010 The number of applications has risen linearly by roughly 150 per year. The number of applications f x is given by f x = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g x = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
Solution Summary: The author explains that the function g(x)=x-2000150 is the inverse of the above function.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010 The number of applications has risen linearly by roughly 150 per year. The number of applications
f
x
is given by
f
x
=
2000
+
150
x
,
where x is the number of years since 2010.
a. Determine if the function
g
x
=
x
−
2000
150
is the inverse of
f
.
b. Interpret the meaning of function g in the context of this problem.
~
exp(10). A
3. Claim number per policy is modelled by Poisson(A) with A
sample x of N = 100 policies presents an average = 4 claims per policy.
(i) Compute an a priory estimate of numbers of claims per policy.
[2 Marks]
(ii) Determine the posterior distribution of A. Give your argument.
[5 Marks]
(iii) Compute an a posteriori estimate of numbers of claims per policy.
[3 Marks]
2. The size of a claim is modelled by F(a, λ) with a fixed a
a maximum likelihood estimate of A given a sample x with a sample mean
x = 11
=
121. Give
[5 Marks]
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
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