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Last summer, at Camp Okey-Fun-Okey, the ratio of the number of boy campers to the number of girl campers was 8:7. If there were a total of 195 campers, how many boy campers were there? *
There were _______ boy campers
1. A nation job placement company is interested in developing a model that might be used to explain the variation in starting salaries for college graduates based on the college GPA. The following data were collected through a random sample of the clients with which this company has been associated.
GPA
Starting Salary
3.20
OMR35,000
3.40
OMR29,500
2.90
OMR30,000
3.60
OMR36,400
2.80
OMR31,500
2.50
OMR29,000
3.00
OMR33,200
3.60
OMR37,600
2.90
OMR32,000
3.50
OMR36,000
Based on this sample information, determine the least squares regression model. Also, develop a scatter plot of the data and locate the regression line on the scatter plot.
Let the joint pdf of X , Y be , f (x, y) = 2 , 0 ≤ x ≤ y ≤ 1 and
f1(x) = 2(1 − x) , 0 ≤ x ≤ 1. Find E[X|Y]
A investor's price for a townhouse was $8560 .The buyers of the rental unit financed it by a 36 month loan at 9% interest compounded monthly.What is the amount of each monthly payment and the total interest cost of financing?
for a random sample of 36 items and a sample mean of 211,compute a 95% confidence interval for if population standard deviation is 23
Many scientists believe that large asteroid struck the earth that kill off dinosaurs. Fragment of asteroid had found out and contain 86% of its original uranium-238. How old is the fragment of the asteroid? The half-life of uranium-238 is 4.5 billion years
Consider a relation R= {(1, 1) (1, 3), (2, 2), (2,3) (3,123 on the set A = {1,2,37 Find transitive using warshalls algorithm... closure of the relation R consider
For each of the following pairs of functions, determine whether 𝒇(𝒏) = 𝑶(𝒈(𝒏)) or
𝒈(𝒏) = 𝑶(𝒇(𝒏)).
a. 𝑓(𝑛) = 𝑛(𝑛 − 1)⁄2 and 𝑔(𝑛) = 6𝑛
b. 𝑓(𝑛) = 𝑛 + 2√𝑛 and 𝑔(𝑛) = 𝑛^2
c. 𝑓(𝑛) = 𝑛 + log 𝑛 and 𝑔(𝑛) = 𝑛√𝑛
d. 𝑓(𝑛) = 𝑛 log 𝑛 and 𝑔(𝑛) = 𝑛√𝑛/2
e. 𝑓(𝑛) = 2(log 𝑛)^2
and 𝑔(𝑛) = log 𝑛 + 1
State TRUE or FALSE justifying your answer with proper reason.
a. 2𝑛^2 + 1 = 𝑂(𝑛^2 )
b. 𝑛^2 (1 + √𝑛) = 𝑂(𝑛^2 )
c. 𝑛^2 (1 + √𝑛) = 𝑂(𝑛^2 log 𝑛)
d. 3𝑛^2 + √𝑛 = 𝑂(𝑛 + 𝑛√𝑛 + √𝑛)
e. √𝑛 log 𝑛 = 𝑂(𝑛)
solve the following recurrence relations
a. 𝑇(𝑛) = 𝑇( 𝑛/4) + 𝑇( 𝑛/2 ) + 𝑛^2
b. T(n) = T(n/5) + T(4n/5) + n
c. 𝑇(𝑛) = 3𝑇( n/4 ) + 𝑐𝑛^2
f. 𝑇(𝑛) = (𝑛/𝑛−5) * 𝑇(𝑛 − 1) + 1
g. 𝑇(𝑛) = 𝑇(log 𝑛) + log 𝑛
h. 𝑇(𝑛) = 𝑇 (𝑛^ 1/ 4) + 1
i. 𝑇(𝑛) = 𝑛 + 7 √𝑛 ∙ 𝑇(√𝑛)
j. 𝑇(𝑛) = 𝑇 ( 3𝑛/4 ) + 1/root(n)
