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The following attributes are measured for members of a herd of Asian elephants:


weight, height, tusk length, trunk length, and ear area. Based on these


measurements, what sort of similarity measure from Section 2.4 would you use


to compare or group these elephants? Justify your answer and explain any


special circumstances.

A firm's average revenue functionΒ 


𝐴𝑅=βˆ’18βˆ’7,5𝑄+𝑄

2

.

AR=βˆ’18βˆ’7,5Q+Q2.

Find theΒ TRΒ and 𝑀𝑅 functions.


a.

=βˆ’18π‘„βˆ’7,5𝑄2+𝑄3=βˆ’18Qβˆ’7,5Q2+Q3


b.=βˆ’18π‘„βˆ’7,5𝑄2+𝑄3=βˆ’18Qβˆ’7,5Q2+Q3


c.=βˆ’18βˆ’7,5𝑄+𝑄2=βˆ’18βˆ’7,5Q+Q2


d.=βˆ’18βˆ’7,5𝑄+𝑄2=βˆ’18βˆ’7,5Q+Q2



A lot consists of 10 good articles, 4 with minor defects and 2 with major defects.




i. One article is chosen at random. Find the probability that




a. It has no defects, c) It is either good or has major defects.




b. It has no major defects,

A firm's average revenue functionΒ 


𝐴𝑅=βˆ’18βˆ’7,5𝑄+𝑄

2

.

AR=βˆ’18βˆ’7,5Q+Q2.

Determine the number of units to be produced and sold to maximise revenue.

a.βˆ’1

b.6

c.3,75

d.0


The demand function of a firm isΒ 


𝑄=90βˆ’1,5𝑃,

Q=90βˆ’1,5P,

where 𝑃

PΒ and 𝑄

QΒ represent the price and quantity, respectively. At what price is revenue a maximum?

a.15

b.30

c.270

d.90


obtain first three terms of taylors series for f(z) = sin z about 2=0


Obtain first three terms of taylors series for f(z) = sin z about z =0


Carlos has 16 magazines to read.

Let m be the number of magazines he would read after R of them.

Write an equation relating M to R. Then use this equation to find the number of magazines he would have left to read after reading 11 of them.


Tubeit-Biner et al. (A-9) found that the number of serious gastrointestinal reactions reported to British Committee on Safety of Medicine was 538 for 9,160,000 prescriptions of the anti-inflamma drag piroticam. This corresponds to a rate of 058 gastrointestinal reactions per 1000 prescriptio written. Using a Poisson model for probability, with A-06, find the probability of (a) Exactly one gastrointestinal reaction in 1000 prescriptions (b) Exactly two gastrointestinal reactions in 1000 prescriptions (c) No gastrointestinal reactions in 1000 prescriptions (d) At least one gastrointestinal reaction in 1000 prescriptions

The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.


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