Search & Filtering
The owner of a fast-food shop claims more than 45% of the household within 5-kilometer radius of the fast-food shop have at least one member who eats at the fast-food shop at least once a week. In a sample of 250 households in the area, an investigator found that members of 180 households did so. Do these data provide sufficient evidence to support the fast-food shop owner’s claim? Use 90% level of confidence.
soft drink dispenser is designed to dispense 250 mL of drink per cup. However, there have
been recent reports to the managements of a fast-food restaurant of both underfilled and
overfilled cups. Seeking to investigate this matter, they fill up 40 cups using this machine. If the mean amount of drink in the 40 cups is 245 mL with standard deviation of 10 mL, is there a
cause for concern for the management? Use a level of significance of 0.01
The function Power, which raises the integer number x to the power n, can be defined recursively as follows: Power(x, n) = 1 for n = 0 Power(x, n) = x * Power(x, n-1) for n > 0 (i) Using the above definition write the recursive function Power(x, n) in C. (ii) Rewrite the recursive function Power(x, n) in an iterative form. (iii) Write the main function and test the above written functions. Note: You can write one program and test the functions or you may write two separate programs for each part (i) and (ii).
A ball is projected vertically upwards with an initial velocity of
30m/s. Neglecting air resistance and taking g to be 10m/s2.
a. Find its maximum height
(2)
b. The time taken to return to its starting point.
(3)
c. Plot a velocity-time graph for its downward motion
(4)
d. Predict what would happen to the time of flight if
Use dimensional analysis to show the correct dimensions
for quantities below.
(8)
QUANTITY. DIMENSION
FORCE
POWER
PRESSURE
WORK, ENERGY
b. Prove that the equation F=ma is dimensionally correct
The cost of patient-days for a small town hospital is listed below. Answer the following questions.
Cost Formula: y = $0.894x + $2,931
- i) What is the variable cost? __________
- ii) What is the fixed cost? _________
- iii) What does x represent? ___________
- iv) What does y represent? ___________
- v) Whatistheexpectedcostfor47patient-days? (round to 2 decimal places) _________
- vi) How many patient-days were there if the total cost was $3,021.29? (round to the nearest day) ________
A stone is thrown at an initial speed of 125 ft/s directed 60 ° above the horizontal at the cliff of
height, y. The stone strikes the cliff 5.8 seconds after launching. Find the height of the cliff and
the speed of the stone just before impact at the top of the cliff.
Identify the critical value of each given problem. Find the rejection region and sketch the curve on a separate sheet of paper.
“According to the radio announcer, the average price of kilogram of pork liempo is more than ₱210.00. However, a sample of 15 prices randomly collected from different markets showed an average of ₱215.00 and standard deviation of ₱9.00. Using 0.05 level of significance, is there sufficient evidence to conclude that the average price of pork liempo is more than ₱210.00?”
What is the resultant of a displacement 6.0 miles North and one 9.0 miles East?
A coffee vending machine is designed to dispense 180 ml of coffee but its owner
suspects that it is dispensing more than what is designed for. He took a random
sample of 40 and found out that the mean is 192 ml with a standard deviation of
4 ml. do you think the owner is right about his suspicion? Test at 0.05 level of
significance.
#339914 on Dec 2023