Math Answers

For p∈P3(R) given by p(x)=a0+a1x+⋯+a3x3, let s(p)=a0+a1+a2+a3 and det(p)=a0. Also, corresponding to the polynomial p∈P3(R), we define the polynomial p∗ to be p(−x). Which of the following are subspaces of P3(R) ?

Let X = {1, 2, 3, 4, 6, 8, 12, 24} and R be a division relation defined on X. Find

the Hasse diagram of the poset <X, R>.

Domain and renge f(x)=1/2x-p

1. Two coins are tossed. Let T be the number of tails that occurs. Determine the values of the random variable T.
2. Three coins are tossed. Let T be the number of tails that occurs. Determine the values of the random variable T.
3. A meeting of consuls was attended by 4 Americans, and 2 Germans. If three consuls were selected randomly one after the other, determine the values of the random variable G representing the number of Germans.
4. A coin is flipped four times. Let T be the number of tails that come out. Determine the values of the random variable T.
5. Two balanced dice are rolled. Let S be the random variable denoting the sum of the number of dots that will appear. Determine the values of the random variable S.
6. Let X be the number of boys in a family of four children. Determine the values of the random variable X.
7. A box contains 4 green and 2 blue dice. Three dice are chosen one after the other. Determine the value of the random variable G representing the number green dice

At any point (x, y) on a curve, 𝑑^2𝑦/𝑑𝑥^2 = 1-x^2

, and an equation of the tangent line to the

curve at the point (1, 1) is y = 2 – x. Find an equation of the curve.

construct the probability distribution of the random variable for the given situation. Two balanced diced are rolled. Let S be the random variable denoting the sum of the number of dots that will appear

List the elements of {1, 2, 3, 4} ∩ {2, 3, 5, 7}

Let f(x)=x, show that f is Riemann integrable in the interval [a,b]. Hence find the Riemann integral of f.

A random sample of size 50 is drawn from binomial distribution with parameters n=100 and p=0.3. what is the probability that the sample mean is

a)larger than 3.9

b) between 4.1 and 4.4

c) smaller than 4.0

Using the circle graph that you have made, formulate at least two problem involving arcs and central angles, then solve