Math Answers

Carl has completed 8 math homework assignments that are all worth 20 points, and his mean score is 17.

Carlos has two more 20-point homework assignments to complete before his progress report gets sent

out, and he wants to raise his mean score to an 18. Is it possible for Carlos to raise his mean score to an

18? If it is possible, explain what scores he would need to get, and if not, explain why not.

What are the sum rule, the product rule, and the quotient rule. 2 examples

Random samples of size 4 are drawn with replacement form finite population 3, 6, 9, 20. What is the variance of the sample?

ACTIVITY IN BASIC CALCULUS

QUOTIENT RULE

  I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.

1. "\\frac{x^2-7x}{2x^3+5x^2}"
2. "\\frac{3x^2+7x-14}{x^3-4x^2}"
3. "\\frac{2x^3+8x^2}{x^2+6x^2-10}"

II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.

1. Example must have two different terms in numerator, and three different terms in denominator

eg. (do not copy)

y= "\\frac{8x^2-3x}{x^2+6x^2-10}"

2. Example must have three different terms in numerator, and three different terms in denominator

eg. (do not copy)

y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"

Consider the population of the values (1,2,3,4).

A. List all the possible samples of size 2 with replacement

B. Compute the mean of each sample.

C. Identify the probability of each sample.

D. Compute the mean of the sampling distribution of the means.

A random variable X has μ=12.00 and σ=3.20. Find the corresponding z- score for X=8.

How many possible samples n=2 can be drawn from a population of size 14?

How many possible samples n=2 can be drawn from a population of size 14?

Determine whether the relation R

on the set of all integers is reflexive,

symmetric, antisymmetric, and/or

transitive, where (x, y)=R if and

only if

X=Y²

3. A psychologist believes that it will take at least an hour for certain disturbed

children to learn a task. A random sample of 30 of these children results in a

mean of 50 minutes to learn the task. Should the psychologist modify her belief

at the 0.01 level if the population standard deviation can be assumed to be 15

minutes?