Math Answers

Two coins are tossed and the random variable Z gives the number of heads. Find the range space, possible outcomes, and give the table of values.

If f and g are continuous functions on [a,b] with integral from a to x f ≥ integral from a to x g for every x ∈ [a, b], must it be true that f(x) ≥ g(x) on [a, b]?

In a plant nursery, the owner thinks that the lengths of seedlings in a box sprayed with a new kind of fertilizer has an average height of 26cm. after three days and a standard deviation of 10cm. one researcher randomly selected 80 such seedlings and calculated the mean height to be 20 cm. and the standard deviation was 10cm. will you conduct a one tailed test or two- tailed test? proceed with the test with 95% confidence level

There were total 1020 members in BMCC Math Club. 50% of them are female. 45 out of 1020 are from Prof. X’s class. 20% of 45 students are international students. In order to join in the Math Club, students must take one exam. You can take the exam as many times as you want. Members meet every Wednesday in Room N736.

a. 50% is a. Parameter or Statistic

b. 20% is a. Parameter or Statistic

c. 1020 is. Quantitative or Categorical

d. 736 is. Quantitative or Categorical

e. The number of times Continuous or Discrete

 A group of students got a grade in their Math subjects; 78, 80, 81, 89, 93, 95. Consider samples of size 3 that can be drawn from this population.

Round of the answer to this question to the nearest rand . David borrowed R911012 to refurbish his holiday home. The loan requires monthly repayment over 12 years . When he borrowed the money the interest rate was 12,4% per annum, compounded monthly but five years later the bank increase the annual interest rate to 13,9% in line with market rates . After five years the present value of the loan is R682081,77. With the new interest rate , his monthly payments will increase by ?

Consider a graph where V(G)={1, 2, 3, 4} and E(G)=[{1,2}, (1,2), {1,4}, {2,3}, {3,4}, {3,4}]. How many Hamilton cycles does it have?

Find the order and degree of the following differential equations

a)      D^y/dx^3+6d^2y/dx+11dy/dx+6y=0

b)     (D^3y/dx^3)^2-3d^2y/dx^2+4y=0

c)      (1-x^2)dy/dx-xy=1

d)     2d^2y/dx^2-3dy/dx+y=0

Find the order and degree (D^3y/dx^3)^2-3d^2y/dx^2+4y=0

Random samples of size 3 are taken from a population of the numbers 3, 4, 5, 6 7,8, and 9.

3. Construct the histogram of the sampling distribution of the sample means. Describe the shape of the histogram.

2. Construct the sampling distribution of the sample means.

1. How many samples are possible? List them and compute the mean of each sample.