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A golfer playing a new course encounters a hole that requires a drive of 145 yards to successfully clear a pond. She knows that her drives are normally distrib- uted with a mean of 155 yards and a standard devia- tion of 9 yards. What is the probability that after her drive her golf ball will be at the bottom of the pond? 



If three coins are tossed, what are the mean, variance, and standard deviation of the number of heads that occur?


Determine whether the given set of invertible nXn matrices with real number entries is a subgroup of GL (n, R). The nXn matrices with determinant -1 or 1

Suppose two laptops are tested. Let D represent the defective laptop and N represent the non-defective laptop. If we let X be the random variable representing the number of defective laptops. What are the possible values of the random variable X? *

Let R be the relation on X = {1,2,3} defined by (x,y) ∈ R if x<y


  1. List the elements of R (ordered pair)
  2. Find the range of R
  3. Find the domain of R
  4. Draw the Diagraph of R below
  5. Identify the properties of R (kind of graph)

Suppose that 53 of the 55 Information Technology students of University of Northern Philippines are taking atleast one of the mathematics subjects Mathematics in the Modern World, Discrete Mathematics, and Data management. Also suppose that: 24 taking Mathematics in the Modern World, 26 taking Discrete Mathematics, and 20 taking Data Management, 5 taking Mathematics in the Modern World and Discrete Mathematics, 7 taking Mathematics in the Modern World and Data Management, 8 taking Discrete Mathematics and Data Management.



E. How many students were taking Data Management and Discrete Mathematics but not Mathematics in the Modern World?



F. How many students did not take any of the mathematics subjects mentioned in the problem?




The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. What percent of the product that between 10 and 15 days?

Find the words by solving the problems.provide your solution on a seperate sheet of paper

What is contribution to humanity's survival of this adaptive strategy




1.Tool making


2.Control of fire


3.Ability to make shelter


4.Care for the old; burying the dead


5.Hunting in group





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