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What is a method of sampling in which every member of the population has an equal probability of being chosen?

The average height of a random sample of 400 people from San Pablo City is 1.75m. It is known that the heights of the population are random variables that follow a normal distribution with a variance of 0.16. Determine the interval of 99% confidence for the average heights of the population. 


use the method of cylinders to determine the volume of the solid by rotating the region bounded by y=-x^2-10x+6 and y=2x+26 about the

a. line x=2 b. line x=-1 c. line x=-14


use the method of disks to determine the volume of the solid by rotating the region bounded by y=10-2x,y=x+1 and y=7 about the

a. line x=8 b. line x=1 c. line x=-4


Lemmon has EAT, depreciation expense, capital expenses, debt and debt principal payments of $9m, $2.8m, $40m and $1.5m respectively. Between the first and the second years, it has current assets of $11m and $13.4m and current debts of $5m and $6.1m respectively. its unlevered beta, D/E and t are 3, 40/60 and .4 respectively. The t bond rate is at 2% and the risk premium is 8%and its sales are $90m. Derive the value of lemon

The owner of a restaurant that serves continental food wants to study characteristics of his customers. He decides to focus on two variables: the amount of money spent by customers and whether customers order dessert. The results from a sample of 60 customers are as follows:


• Amount spent ( =$38.54, S= $7.26)



• 18 customers purchased dessert.



Construct a 95% confidence interval estimate of the population mean amount spent per customer in the restaurant. _____________


Construct a 90% confidence interval estimate of the population proportion of customers who purchase dessert

false statement by finding a counterexample

  1. x/x=1
  2. x+3)/3=x+1
  3. √(x^2+16)=x+4

let r be a reflexive relation on a set a. show that r ⊆ r2

The prevalence of a certain type of cancer among men aged 55−𝟔𝟎 is 1 in 100. A blood test will be positive 95% of the time if the cancer is present but it is also positive 4% of the time if the cancer is not present. 2.1. In a routine checkup, 56-year-old men receive a positive blood test. What is the probability that he has the type of cancer? 2.2. What is the probability that a randomly selected 56-year-old men tests negative?


Show that in a finite dimensional vector space V(F) whose basic set is B={x₁,x₂,...xₙ} every vector x∈V is uniquely expressible as linear combination of the vector in B.

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