Math Answers

The division – wide aptitude test in Mathematics was conducted to students. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution. What percent of the scores is between 55 and 65? *

A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population. A. Determine and list all possible samples and the corresponding sample means. SAMPLE MEANS RANDOM SAMPLES​

A pair of dice is thrown. Find the probability that sum of the points on the two dice is 10 or greater if a 6

appears on the first die.

A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population. A. Determine and list all possible samples and the corresponding sample means. SAMPLE MEANS RANDOM SAMPLES​

Show your solution.

1.     Show, by the use of the truth table/matrix, that the statement (p∨q)∨ (¬q) is tautology.

2.     Show that p ↔ q and (p ∧ q) ∨ (¬p ∧ ¬q) are logically equivalent.

Let P(x): x² =x

                  2

Find the following then identify their truth values.

1.  P (1)

2.  P (2)

3.   ∀n,P(n)

4.  Ǝn,P(n)

The weekly income of managers are normally distributed with a mean of $10000.

And a standard deviation of 100S.

1: What is the z value for an income x of 1100 and for 900?

2. What is the probability that the weekly income is less than 1100?

3. What is the probability that the weekly income is more than 1100?

4. What is the probability that the weekly income between 800S and 1100$?

The weekly income of managers are normally distributed with a mean of $10000.

And a standard deviation of 100S.

1: What is the z value for an income x of 1100 and for 900?

2. What is the probability that the weekly income is less than 1100?

3. What is the probability that the weekly income is more than 1100?

4. What is the probability that the weekly income between 800S and 1100$?

Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function. (3 items x 5 points)

1. The movie won the Academy Award for the past 2 years.
2. 1 + 3 = 4
3. (x+2)² is a prime number.

Locate the centroid of the volume bounded by the equation y^2 = 4x, x = 1 and the x-axis and revolving about the x-axis.