Math Answers

Four coins are tossed. Let z be the random variable representing the number of heads that occur. What is the probability of the least number of times that heads may occur?

Drawing a Card. If one card is drawn from a deck, find the probability of getting these results:

Getting a 3 or an 8

A vertical aerial AB 12.65m high stands on ground which is inclined 18°32 15to the horizontal. A stay connects the top of the aerial A to a point Con the ground 20.0 m uphill from Bthe foot of the aerial.

Determine:

the length of the stay .

the angle the stay makes with the ground

Using the world population formula P = 6.9(1.011)t, where t is the number of

years after 2010 and P is the world population in billions of people, estimate:

a) the population in the year 2030 to the nearest hundred million, and

b) by what year will the population be double from 2010?

Pn. Rohani earns RM3000 a month working in Berjaya Sdn. Bhd. and she uses 40% of her monthly salary for utilities and other expenses. To improve the quality of education, she decided to pursue higher education, and she intends to apply for a personal loan from a local bank to cover the cost of her studies which is estimated to be RM102,000 for 4 years. You are a financial advisor who does not favor any financial institution and Pn. Rohani asked for your advice to decide to choose the bank that fits her income and living expenses. She brought two pamphlets containing the loan schedule and payment period from different banks. Based on given information, provide reasonable arguments and evidence to evaluate the two loan offers provided by Pn. Rohani. Next, suggest to her which bank to choose from. Create a loan amortization schedule using EXCEL to show the relevant information to Pn. Rohani (Refer EXCEL Tutorial).

Produce truth tables for given Boolean expressions

A’B’C + AB’C + ABC + ABC’

The probability that a patient recovers from a rare blood disease is 0.4. If 15 randomly chosen people are known to have contracted this disease, what is the probability that

(a) exactly 8 survive?

(b) at most 2 survive?

(c) less than 2 survive?

(d) at least 13 survive?

(e) more than 13 survive?

(f) between 5 and 8, exclusive, survive?

(g) between 5 and 8, inclusive, survive?

2. From the problem in number 1, how many are expected to survive from the 15 patients?

How steps to draw a network diagram.

What and Define is network diagram

2. A survey on subjects being taken by 250 college students in Candon City revealed the following information.

Subject Number of students taking the subject

Mathematics 145

Filipino 90

English 88

Math and Filipino 25

Filipino and English 38

Math and English 59

Math, Filipino and English 15

How many did not take any of the three subjects?

How many took Math as their only subject? English only? Filipino only?

How many were taking Math and Filipino but not English?

How many were taking Filipino and English but not Math?