Other Math Answers

2. A regular square pyramid has an altitude of 12 m and a volume of 196 m3. Determine the slant height of the pyramid.

a) 7 m
b) 11.48 m
c) 12.5 m
d) 15 m

_3. A regular square pyramid has a height of 8m. If the slant height makes an angle of 45º with the base, find the lateral area of the pyramid

a) 180
b) 362
c) 542
d) 724

(with solution pls)

A right circular cone is inscribed in a cube having a diagonal which
measures 20 square root of 3 cm.

2. What is the volume of the cone?

Suppose a person standing at the top of a building 112 ft high throws a ball vertically upward
with an initial velocity of 96 ft/sec.
(a) Find the velocity of the ball at time

A Leading mobile phone manufacturer is about to introduce a new series, initially they are launching 4 models of the same series. The accompanying table summarizes price and variable costs data, combined fixed costs equal $540,000.
Models
Infinity A Pro Max Infinity A Pro Infinity A Infinity A Lite
Selling Price (in dollars) 500 400 340 220
Material Cost /unit (in dollars) 220 190 150 90
Labor Cost/unit (in dollars) 90 65 65 50
Table 1
a) Develop a joint total revenue function for sales of the four different models.
b) Develop an annual total cost function for manufacturing the four models.
c) Develop the profit function for sales of the four models.
d) Calculate the annual profit if the firm sells 9000, 12000, 45000 and 22000 units, respectively, of the four models?

Go through the statements and identify the thinking style or fallacies linked with these statements. Answer this question with Justifications; Word limit for each part: 50 words.
1.​Karachi met with cold breezes because it rained in Quetta.
2.​This research conclusion states that brand name has a significant impact on brand performance.
3.​The Pakistanis are the best people in the world.
4.​Young people are much more immoral in their behavior than older people.
5.​He was seen talking with a burglar; therefore he is a burglar himself.

Ahmar and Ibad are two good friends and fellow mates; both have been together since elementary school classes and have completed high school together. Now they are preparing for reputed universities. Ahmar is feeling down due to the negative thoughts and he is afraid of being rejected from the top universities. Ibad on the contrary is very energetic, optimistic, well organized and victory oriented.
Requirement: In light of self-esteem, can you explain the reason for two different approaches of two people who had so many things similar to each other. Word limit 500 to 700 words

A corporation receives a shipment having 18 pieces out of which 4 are substandard. If 6 pieces are selected as a random sample, and the shipment is rejected if any of these items proves to be substandard. Calculate the following if possible. If any part of question (you feel) is not possible to calculate give reason:
a. Develop the probability distribution table for the number of substandard pieces.
b. Calculate the expected number of substandard pieces and its variance.
c. What is the probability that less than 3 substandard pieces in the random sample?
d. Calculate the probability of accepting a shipment

Two Certified Public Accountants have recently started to give business advice to their clients. Acting as consultants, they estimated the demand curve of a clients firm to be: AR = 200 8Q Where AR is average revenue in millions of shillings and Q is the output in units. Investigations of the client firms cost profile shows that marginal cost (MC) is given by: MC = Q² 28Q + 211 (in millions of shillings). Further investigations have shown that the firms cost when not producing output is Sh.10 million.
Required:
The equation of total cost (5 marks)
The equation of total revenue (2 marks)
An expression for profit (2 marks)
The level of output that maximizes profit (5 marks)
The equation of marginal revenue (2 marks)

Two students were discussing about the relationship between average cost and total cost. One student said that since average cost is obtained by dividing the cost function by the number of units Q, it follows that the derivative of the average cost is the same as marginal cost, since the derivative of Q is 1

Required:
Comment on this analysis. (4 marks)

The Huckleberry farm claims that they were able to “create” a new species of miniature pumpkin, which is significantly smaller than the average typical pumpkin. To show their achievement, they bring to a country fair a sample of 4 of those miniature pumpkins to demonstrate their very small mean weight of 6 pounds. Do you think this farm is justified in saying that their new pumpkin species is “significantly smaller” than the average typical pumpkin? Explain why so or why not. * Make sure to show your calculations, round to 2 decimals, (You should set alpha = .01 for your hypothesis test)