Math Answers

The average value of the particulate matter (PM10) in the air of Kuala Lumpur is 77 (μg/m3).. The average value of the particulate matter (PM10) is 65 (μg/m3) as calculated from the sample data. The standard deviation of the population is 44 (μg/m3). Use a significance level of α=0.05 to carry out the analysis.

The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team.

a) Construct a well-labeled tree diagram to represent all the possible outcomes.

b) What is the probability that Roy:

i) attends practice and is chosen?

ii) does not attend practice and is not chosen?

iii) does not attend practice?

iv) is chosen?

the demand function Q(P) and cost functions C(Q) of a company's are give by the equations:

Q=12000-60P

C(Q0=10000-4Q

where P and Q are the price and quantity, respectively.

What is the company's profit function?

Evaluate the following

"n\\sum i=1 (3\/2^(i-1))"

What is the probability that two female students will be selected at random, one after the other, to participate in a research project from a class of 7 male and 3 female students?

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 12 of the 57 boxes on the shelf have the secret decoder ring. The other 45 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

With the help of Venn diagram and membership table prove:

(AUB)-C = (A-C)U(B-C)

In a large population, 58% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?

An amount of money is invested at 8% interest per year, compounded quarterly. After a number of years, the

accumulated amount in the account is R7 365,00. The investment earned R2 000,00 interest in this period.

If the accumulated amount is left in the account (the interest rate remains the same) for another period that

is one year longer than the first period, the accumulated amount in the account will then be

A sum of R8 000,00 is lent in the beginning of a year at a certain simple rate of interest. After eight months,

in a different loan, a sum of R1 164,00 more is lent but at the simple interest rate twice the former. At the

end of the year, R903,00 is earned as simple interest from both the loans. The original simple yearly rate of

interest, rounded to two decimal places, is