Math Answers

A basket contains 10 red balls and 4 white balls. If three balls are taken from the basket one after the other, determine the possible values of the random variable R representing the number of the red balls

Using the sample ina family of four children, construct a probability distribution for the variable Z representing the number of boys. Draw the histogram of the probability distribution.

The net revenue of a company rose 3.6 %, while inflation rate was 3.0 %. Calculate the relative real change in revenue as percentage.

1. Solve x2 + 2x − 15 = 0 by factoring. Find both the sum and the product of the zero.

2. Suppose the monic (leading coefficient is one) quadratic polynomial x2+ax+b has zeros r1 and

r2. Write the polynomial in factored form. Multiply the factored form out. What relationships

do you find between this product and the coefficients of the original polynomial.

3. Factor the polynomial x3 + 5x2− 2x- 2

4. Find the sum of the zeros and the product of the zeros. Now find the sum of all the double products of the zeros (i.e., r1r2 + r1r3 + r2r3). What is the relationship between these three values and the coefficients of the polynomial?

4. Suppose the monic cubic polynomial x3 + ax2 + bx + c has zeros r1, r2, and r3. Write the polynomial in factored form and multiply the factors. Write the relationships between the coefficients of each form of the polynomial.

5. Suppose the monic quartic polynomial x4 + ax3 + bx2 + cx + d has zeros r1, r2, r3, and r4.

Find the mean, variance, and standard deviation of the scores of the students in an English test: 8, 9, 12, 18, 11, 16, 25, and 19

A bag contains 400 coloured counters. The counters are either yellow, brown or green. There are 92 yellow counters in the bag. The probability that a brown counter is chosen from the bag is 0.13 Calculate the number of green counters in the bag.

Find the general solution of the Lagrange's equation 2yzp+zxq=3xy?

Find all possible Taylor's series and Laurent Series expansions of f(z)= 2z-3/(z-2)(z-1) about z=0

Find the billianear transformation which maps the points z=0,1,∞ on to the points w=0,i,2i.

Find the general solution of the lagrange's equation 2yzp+zxq=3xy?