Math Answers

Don, a canteen owner claims that the average meal cost of his usual customer is 190 pesos. In order to test his claim , don took a random sample of 25 customers and found out that the meal cost is 210 with a standard deviation of 30 pesos. Test the hypothesis at 0.01 level of significance

Calculate distances that one vehicle of the organisation travels per day,per week and per month.if you do not work directly with vehicles, calculate the distance you travel to work and back. Show calculations and state the distance in the correct s1 unit.

Given the area in the first quadrant bounded by x² = = 8y, the line

y-2 and the y-axis. What is the volume generated when this area is

revolved about the line y - 2 = 0?

Given the area in the first quadrant bounded by x² = 8y, the line

x=4 and the x-axis. What is the

the volume generated by revolving this

area about the y-axis?

Find the volume by revolving the hyperbola xy = 6 from x=2 to x=4

about the x-axis.

Q life time of led follow exponential distribution with mean life of 5000 burning hours. if one such LED is selected at random from a big lot, what is the probability that it will last for 

1. at least 4000 hours 

2. almost 10000 hours

Also state the standard deviation of the life time distribution. Given e raised to -0.8 is 0.4493 and e raised to -2 is 0.1353

A group of students got the following scores in an achievement test:9,12,15,18,21 and 24 . consider the sample of size 3 that can be drawn from this population. Construct a sampling distribution of the resulting means and find the probability

a bus is moving at 8m/s when passenger walks forward at 1.5m/s relative to the bus . how fast is this passenger moving as seen and measured by (a) a person waiting at the bus stop and (b) the driver of the bus?

Use a truth table to determine whether the given statement is a tautology or self-contradiction.

1. ~[p ∧ ( ~p v q)] v q

2. [p ∧ ( ~p v q)] v q

A quality control engineer knows that a flash drive produced by a company pass the company’s standard 95% of the time. He usually does a random checking of 20 flash drives from the day’s production and approves the whole production when no more than flash drives fail to meet the standards. What is the probability that the quality control engineer accepts the whole production for the day?