Math Answers

a survey report show that in locality 60 percent of families earning more than rs 15000 own a car .if sample is 18 families in this category find probability exactly 12 than own a car

Find the lateral area and volume of the frustum of a right circular cone having a slant height of 14m and the radii of the bases are 4m and 1.5 m respectively.

Find the lateral area and volume of the frustum of a right circular cone having a slant height of 14m and the radii of the bases are 4m and 1.5 m respectively.

Let U and W be subspaces of a vector space V of finite dimension. Prove that(UnW)°=U°+W°

Consider a relation R= {(1, 1) (1, 3), (2, 2), (2,3) (3,1)on the set A = (1,2,3) Find transitive using warshalls algorithm... closure of the relation R consider

Janny opened a savings account and deposited$300.00 as principal.The account earns 6% interest, compounded annually.What is the balance after 6 years?

Description of variables which are: do you own an electric stove? Is your household situated in Metropolitan areas?.....their measurement scale and coding

1)   3F manufacturer produces two products: Beds and Chairs. Each unit of Bed requires 3 hrs in molding unit, 4hrs in painting unit, and 1 hr in finishing. On the other hand, each unit of Chair requires 3 hrs in molding unit, 2 hrs in the paint shop and 2 hours in finishing. Each week, there are 210 hrs available in molding, 200hrs in painting, and 120 hrs in finishing unit. The demand for Beds cannot exceed 40 units per week. Each unit of Bed contributes Birr 20 to profit, while each unit of chair contributes Birr 30. Determine the number of units of each product per week to maximize the profit?

A campaign was designed to convince car owners that they should fill their tires with nitrogen instead of air. At a cost of about ₱60 per tire, nitrogen supposedly has the advantage of leaking at a much slower rate than air, so that the ideal tire pressure can be maintained more consistently. Before spending huge sums to advertise the nitrogen, it would be wise to conduct a survey to determine the percentage of car owners who would pay for the nitrogen. How many randomly selected car owners should be surveyed? Assume that we want to be 99% confident that the sample percentage is within four percentage points of the true percentage of all car owners who would be willing to pay for the nitrogen.

7.Two ships leave a dock at the same time. One sails northeast at the rate of 8.5 miles an hour, the other sails north at the rate of 10 miles an hour. How far apart are they at the end of 2 hours?

8. If the slower ship in the preceding exercise leaves at noon, and the other at 1 p.m., how far apart are they at 2 p.m.? 9. The diagonals of a parallelogram are 7 inches and 9 inches respectively; they intersect at an angle of 52°. Find the sides of the parallelogram.

10. A military observer notes two enemy batteries which sub tend, at his observation post, an angle of 40°. The interval between the flash and the report of a gun is 5 seconds for one battery, and 4 seconds for the other. If the velocity of sound is 1140 feet a second, how far apart are the batteries?