Math Answers

A. A life insurance company will sell a Php250,000 one-year term life insurance policy for members of armed forces of the Philippines for a premium of Php500.00. Let X denote the gain from the insurance company. Based on the collected data of the company, a member of the armed forces police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policy holder.

1. Complete the table below showing the probability distribution of X.

X 500 -249,500

P(x)

2. Find the expectation If you play a bet and Interpret the result.

E(X)=

3. Interpretation:​

Find the derivative using chain rule-d/dx: 

5.y = (4x - 9) * (3x - 4) ^ 2

6.y = x/(x ^ 2 - 2) ^ 2)

7.) y =(x²-7)²(2x - 5)³

8. y = (x ^ 4 - 2x) ^ 2/(x - 1) ^ 3

9. y = sqrt(x - 2) ^ 2

10.) y = (x ^ 3 + x ^ 2) ^ 2 * (x - 1) ^ 3

List the members of the set

(x l x is an integer such that x < 2)

In a party, there are 12 people with white shirts and 7 people with red shirts;

4 people have black shoes and white shirts;

5 people have black shoes and red shirts;

the total number of people with white or red shirts or black shoes is 21.

How many people have black shoes?

a manufactrer produces lightbulbs that are packed into boxes of 100. if quality control studies indicate that 0.5% of lightbulbs produce are defective, what percentage of the boxes will contain if 2 or more defectives?

In a party, there are 12 people with white shirts and 7 people with red shirts;

4 people have black shoes and white shirts;

5 people have black shoes and red shirts;

the total number of people with white or red shirts or black shoes is 21.

How many people have black shoes?

A right circular cylinder whose base diameter is 5 ft. and is 15 feet high, 

1. Compute the Lateral surface area in ft^2.
2. Find the Total Surface are in ft^2.
3. Find the volume content of the cylinder if it will be ¾ filed with water, in ft^3.

The base of a prism is a regular pentagon with one side measuring 15 cm. Its

Altitude is 32 cm. Find the following;

1. Lateral surface Area in cm2.
2. The total surface area in cm2.
3. The volume of the prism in cm3.

What is the weight of a steel plate 15 feet long, 4 feet wide, and 5/8 inches

Thick, if the steel weighs 475 lbs/ ft3 .

1. Find the Lateral surface are of the steel plate in square feet.
2. Compute the Total surface area in square feet.