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A coil connected to a 220 V line is used to heat 500.0 g of water at 30°C. It is found out that after 5 minutes, the temperature of the water has risen to 80°C. What is the resistance of the coil? 


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​


128.6°F to Celsius scale

The Positive Ones

by CodeChum Admin

There are different kinds of numbers, but among them all, the most commonly used numbers in our daily lives are those positive ones. So, I only want you to count all the positive numbers from the 4 outputted values and print out the result.


Go and search for the positive ones among these four!



Define a function CalcPyramidVolume with double data type parameters baseLength, baseWidth, and pyramidHeight, that returns as a double the volume of a pyramid with a rectangular base. Relevant geometry equations: 

Volume = base area x height x 1/3 

Base area = base length x base width. 

(Watch out for integer division).


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.
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