Math Answers

Random samples with size 4 are drawn from the population containing the values 14, 19, 26, 31, 48 and 53

for the curve x=a(3u-u³), y=3au², z=a(3u+u³) prove that k=t

1. An average tire used by a transportation company lasts 20,000 km with a standard deviation of 100 km. Assuming that the distance traveled by a tire is normally distributed, what is the probability that a tire used by the company will last at most 30,000 km?

"\\forall" x,y "\\in" R, x² +y²=9

Solve the following using the method of undetermined coefficients. (d ^ 2 * y)/(d * t ^ 2) + (dy)/(dt) - 5y = - 6x ^ 3 + 3x ^ 2 + 6x

Construct the sampling distribution

1. A population consists of the values 1,4,3,2 with sample size 2.

2. A population consists of 1,3,5,7,9 with sample size 3.

Write in the form “if p then q”, then write the converse, inverse and contra positive of each of the following implications.

1. It is necessary to do your homework to get the passing grade.

a.  Converse (q →p) =

b. Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =  

2. You can access the school Wifi only if you are enrolled.

a.  Converse (q →p) =

b.  Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =   

3.   Mark gets a high grade whenever he studies his lesson.

a. Converse (q →p) =

b. Contra positive (q→¬p )=

c. Inverse (p→¬q ) =

4.  If you read your lessons everyday, you will pass all your course.

a.  Converse (q →p) =

b.  Contra positive (q→¬p )=

c.  Inverse (p→¬q ) =

5.  If it rains today, I will stay home and read my lessons.

d. Converse (q →p) =

e. Contra positive (q→¬p )=

f. Inverse (p→¬q ) =

how many different elements does A x B have if A has m elements and B has n elements?

If A = {5,6,7} and B = {2,3}, {(2,6),(2,5),(3,7)} ⊆ B×A.

Find A x B if A={0,1,3} and B={1,2,a,b}.