Search & Filtering
What is the output of each of the following statements? Assume that
x = 5, y = 2, z = 10, and temp = 0
1. if (y >= x)
y = z;
cout<< x << " " << y << " " << z << endl;
2. if (y >= x)
{
y = z;
cout<< x << " " << y << " " << z << endl;
}
3. if (z < y)
temp = x;
x = z;
z = temp;
cout<< x << " " << y << " " << z << endl;
4. if (z > y)
{
temp = x;
x = z;
z = temp;
}
cout<< x << " " << y << " " << z << endl;
5. if (x >= 6)
cout<< x + y << endl;
cout<< x + y << endl;
6. if (x + y > z)
x = y + z;
else
x = y - z;
cout<< x << " " << y << " " << z << endl;
A population consists of 1, 5, 6, 8, 12, 7, and 11. Suppose a sample of size 3. Find the
mean and variance.
Instructions:
- Using a do...while() loop, continuously scan for random integers that will be inputted by the user and print out its square, separated in each line.
- Once the inputted value is 0, it will still print out its square value but should then terminate the loop afterwards. Use this concept in making your loop condition.
Sample Results:
Input
Multiple lines containing an integer.
2
6
Output
Multiple lines containing an integer.
4
36
What is the pH of a solution with [H^+] of 1.0 x 10^9M? What is its pOH? (Kw = [H^+][OH^-])
2. The scores of individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, solve for the following:
a. determine the mean and standard deviation of the sampling distribution of the sample mean.
b. find the probability that the sample mean falls between 17 and 20 (𝑃(17 < 𝑥̅< 20).
c. the number of sample means that is above 19.3 kilograms.
1. When baking soda was mixed with vinegar, effervescence was observed.
What caused the effervescence?
2. How can you conclude that the reaction has gone to completion?
3. Which balloon has the least amount of air inside?
4. Which balloon has the most air inside?
5. Will the balloon size grow bigger if more vinegar is in the bottle? Why?
6. Will it take more time to complete the reaction if there were more vinegar in the bottle with the
same amount of baking soda?
7. Which is the limiting reagent?
8. Which is the reagent in excess?
1. A population consists of six values (6, 9, 12, 15, 18, and 21).
a. Select a random sample of size 3. Explain the random sampling that you used.
b. How many possible samples can be drawn?
c. List all possible samples and compute the mean of each sample.
d. Construct a frequency distribution of the sample means obtained in step 2 including 𝑥̅; 𝑓; 𝑃(𝑥̅); ̅𝑥 ⋅ 𝑃(𝑥̅); ̅𝑥 2 ⋅ 𝑃(𝑥̅); Σ𝑃(𝑥̅); Σ𝑥̅⋅ 𝑃(𝑥̅) 𝑎𝑛𝑑 Σ𝑥̅ 2 ⋅ 𝑃(𝑥̅).
2.) Scores on the SAT form a normal distribution with a mean score of 500 and a standard deviation of 100.
a. What is the minimum score necessary to be in the top 15% of the SAT distribution?
b. Find the range of scores that defines the middle 80% of the distribution of SAT scores.
3. )The government would like to conduct a subsidy program for the lowest 5 percent of the families in terms of income. The government gathered data about family income and it’s found to be normally distributed with a mean of Php 130 000 and a standard deviation of Php 50 000. What is the cutoff income for the government program?
1.) In a National Achievement Test, the mean was found to be 75 and the standard deviation was 15. The scores also approximate the normal distribution.
a. What is the minimum score that belongs to the upper 15% of the group?
b. What is the two extreme scores outside of which 15% of the group are expected to fall?
c. What is the score that divide the distribution into two such that 75% of the cases below it?
d. Estimate the range of scores that will include the middle 45% of the distribution.
I. z = [a2 + 4ac] ÷ 2
