Math Answers

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?

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

What is the area under the normal curve that corresponds to z = 1.36?

Directions: find (f-g) (x) using the two functions given in each number.

1. F(x) = 3x+3

g(x) = -4x+1

2. F(x) = 2x+5

g(x) = 4x² +2x-2

3.f(x)=5x+1

g(x) =3x-2

4.f(x) -15 x² -2x+5

g(x) = 3x2+x-7

5.f(x) = 3x² - 2x+1

g(x) = 4x² +5x-4

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.

A.   Fill in the correct number of students in each of the eight regions of the Venn Diagram.

B.   Find the number of students who are taking all three mathematics subjects.

C.   Determine the number of students who are not taking any of the three mathematics subjects?

D.   How many students were taking Mathematics in the Modern World as their only mathematics subject?

A professor grades student on 4 tests, a term paper, and a final examination. Each test counts as

15% of the course grade. The term paper counts as 20% of the course grade. The final

examination counts as 20% of the course grade. Alan has test scores of 80, 78, 92 and 84. Alan

received an 84 on his term paper. His final examination score was 88. Use the weighted mean

formula to find Alan’s average for the course. Hint: The sum of all weights is 100% = 1.