Homework Answers

The fourth-degree polynomial

f(x) = 230x4 + 18x3 + 9x2 - 221x - 9

has two real zeros, one in [-1; 0] and the other in [0; 1]. Attempt to approximate these zeros to within

10-2 using the

(a)

Secant method(Use the endpoints of each interval as the initial approximations),

(b)

Newtons method(Use the midpoints of each interval as the initial approximation)

Determine whether if lim f(c) = f(c)

x + c

1. f(x) = x+2; c = -1

2. f(x) = x-2; c = 0

3. (at c = -1 )

f(x) = {x ² - 1 if x = < -1}

f(x) = { (x - 1) ² - 4 if x = ≥ - 1}

4. (at c = 1 )

f(x) = {x³ - 1 if x = < 1}

f(x) = { x² +4 if x = ≥ 1}

Direction: Solve the problem below and construct probability distribution and make a histogram.

Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Thus, to each outcome in the sample space we shall assign a value.

a. Use the factor three to determine the prime factors and prime products of 1260

b. Use vertical and horizontal algorithms to find the difference of 709-568. Explain the borrow concepts.

1.     A random sample of n = 100 measurements is obtained from a population with 𝜇 = 55 and 𝜎 = 20.  Describe the sampling distribution for the sample means by computing the 𝜇_𝑥̅ and 𝜎_𝑥̅. 

You are just about to teach the prime numbers to the grade 4 class. Explain the strategy you will use to ensure that your learners understand and know the prime numbers between 1 and 100. Use your own words and clear procedure should be explained in full

A laboratory supervisor in hospital is investigating number of reported on-the-job training accidents over a period of one month. Based on past records, she has derived the following probability distribution for x; where x is the number of reported accidents per month. Find the mean

Test the following numbers for divisibility by 6,9 and 11 ( do not divide or factories)

a. 6798340

b. 54786978