Math Answers

The rate at which a super computer body cools is proportional to the difference between the temperature of the body and that of the surrounding air. If a body in air at 25°C will cool from 100°C to 75°C in one minute, find its temperature at the end of three minutes.

When creating a left-endpoint Riemann sum on the interval [-29.8, 388.8] using 26 rectangles, the 7th endpoint used to calculate the height of the approximating rectangle would be? Calculate the following showing all your steps.

Suppose that in the past, 54% of all adults favored capital punishment. Do we have a reason to believe that the proportion of adults favoring capital punishment today has increased if, in a random sample of 43 adults, 32 favor capital punishment? Use a 0.1level of significance.

At a certain college, it is estimated that fewer than 75% of the students have cars on campus, and with this number, the parking lot is fully occupied. Would you suggest to increase the parking lot space if, in a random sample of 60 college students, 55 are found to have cars? Use 0.1 level of significance.

to determine the number of sets of all possible random means using the formula of  where N is the population size and n is the sample size

Find a recurrence relation for the number of bit sequences of length n with an odd number of 0s?

If a vertical and horizontal number line intersect perpendicularly, they form

right angles (of 90◦) with each other and a co-ordinate system of axes is formed, the horizontal line is called:

[1] Quadrants

[2] Y-axes

[3] Co-ordinates

[4] X-axes

UNDERSTANDING HYPOTHESIS TESTING

I. Directions: State the null and alternative hypothesis in words and in symbols:

1. The school record claims that the mean score in Math of the incoming Grade 11 students is 18.5. The teacher wishes to find out if the claim is true. She tests if there is significant difference between the batch mean score and the score of students in her class.

2. The average number of calories of a low-calorie meal is at most 300.

3. A social worker wants to test (at  = 0.05) whether the average body mass index (BMI) of the pupils under feeding program is different from 8.2kg.

4. The average height of the college varsity basketball players in a certain university is 178cm.

5. A DTI representative wants to test at 99% confidence level whether the average content of a medium canned soda is less than 330 ml as indicated in the label.

The following function is continuous at x = 0:

𝑓(𝑥) =

(1−cos𝑘𝑥)/(xtanx)

, 𝑓𝑜𝑟 𝑥 ≠ 0 𝑎𝑛𝑑 𝑓(0) = 3. find k.

a firm has the following demand function P=60-0.5Q and its total cost are defined by TC=13+Q. find the maximum revenue