Math Answers

46 % of the 100 students in Emmie Xi Hem International School students said that they had been late in their first period classes. What is the lower bound of the 99% confidence interval for the proportion of students in the said school who had been late in their first period classes.

Note: Write your answers in decimal form and round it to 4 decimal places.

42 % of the 100 students in Emmie Xi Hem International School students said that they had been late in their first period classes. What is the upper bound of the 99% confidence interval for the proportion of students in the said school who had been late in their first period classes.

Note: Write your answers in decimal form and round it to 4 decimal places.

There are two truck kinds available to a transportation company: Type A and Type B. When comparing Type A with Type B, Type A has an overall volume of 20 m3 with equal portions for refrigerated and non-refrigerated stock, while Type B has an overall volume of 40 m3 with equal sections for both types of stock. 3,000 m3 of refrigerated stock and 4 000 m3 of nonrefrigerated goods must be transported by truck. Type A cars cost P30 per kilometer, whereas Type B cars cost P40 per kilometer. In order to keep rental costs to a low, how many of each kind of truck should the grocer rent?

E. Graphical Method; 1. 2x-3y=7;3x+y=5 2. 2x-5y=9;3x+4y=25

D. Cramer’s Rule; 1. 6x+3y= 6; 5x-3y=3 2. 2x-3y=5; 4x+10y=4

Equivalent Method; 1. 4x-6y=6 ; 7x-3y=6 2. 3x-3y=8; 9x- 4y=3

Substitution Method; 1. 3x-6y=4; 5x-5y=2 2. 2x+3y=3;4x-6y=4

A. Elimination Method; 1. 2x-5y = 9; 3x+4y = 6 2. 3x+4y= 3; 4x-5y=5

There are 200 shirts and 100 pairs of trousers from last season that a retailer wants to get rid of. They've come up with two options, A and B, and are putting them together. Offer A is a $30 set that includes a shirt and a pair of trousers. Offer B is a $50 set that includes three shirts and two pairs of trousers. A total of 20 of Offer A and 10 of Offer B packages must be sold in order for the business to make a profit. Is there a maximum number of packets they need to sell in order to maximize profit?

An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will have an average resistance greater than 114 ohms.