Math Answers

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ist

five situation from da

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Question # 1

Why do we need to compute the measure of dispersion (variance and standard deviation) even if we have computed the measure of central tendency (mean, median, and mode, etc.)?

Question # 2

What is the difference between Pie Chart and Bar Chart? Why do we use them?

Note:

Answer should be relevant. Irrelevant and unnecessary lengthy materials will not be considered

A manufacturer packages his product in a 500-ml cylindrical can. The material for the

top costs four times as much per square centimeter as that to be used for the bottom and

the sides. What must be its dimensions so that the cost of the can is least?

pick a number . multiply the number by 12 and add 6to the product, divide the sum by 3, subtract twice the original numbers and subtract 2.

Evaluate the specified function given the value of x.

1. n (x) given x = -3
2. n(-2)
3. p(6)
4. q(13)
5. m(3)

Let the continuous r.v. X denote the weight (in pounds) of a package. The range of weight of packages is

between 45 and 60 pounds.

(a) Determine the probability that a package weighs more than 50 pounds.

(b) Find the mean and the variance of the weight of packages.

Find the equation of a line that passes through the point (2,1) and has a gradient of

−

1

3

.

Leave your answer in the form

y

=

m

x

+

c

A test is given to a class of 3 students. Marks obtained are 2,4 and 6, assume the students constitute the population. Find the standard deviation of the population

List all possible samples of size 2 that can drawn with replacement from the population

Determine the mean of each sample

Determine the mean of the sample means

Determine the standard deviation of sample means

A magic bag contains 8 raspberries, 6 watermelons, and 7 bananas. 5 pieces of fruits are

taken out from the magic bag randomly without replacement. Find the probability that

(a) 3 raspberries and 2 watermelons are taken

(b) the 5 pieces of fruits taken are all bananas

(c) all of the 5 fruits taken are the same kind

(d) the 5 pieces taken contain at least 4 raspberries.

Jack buys computers from his supplier for R50 000 each. If Jack wants to earn a 20% profit for each computer, what will be the price charged by Jack?