Math Answers

Set four questions where learners should calculate the area and or perimeter of a triangle.Ensure that your questions are at different cognitive levels of bloom taxonomy

How to find the coordinate of p and q if the circle cuts the x-axis at the points p and q in 2x^2 +2y^2 -8x +5y -10=0

how many 2-digit or 3-digits numbers can be formed using the digits 1,2,3,4,5,6,8 and 9 if no repetition is allowed ?

how many possible telephone numbers are there when there are seven digits the first two of which between 2 and 9 inclusive the third digit between 1 and 9 inclusive and each of the remaining may be between 0 and 9 inclusive ?

 How many three digit numbers can be formed using the digits 1,2,3,4,5,6,7,8 and 9?

A firm manufactures two products; the net profit on product 1 is Birr 3 per unit and Birr 5 per unit on product 2. The manufacturing process is such that each product has to be processed in two departments D1 and D2. Each unit of product1 requires processing for 1 minute at D1 and 3 minutes at D2; each unit of product 2 requires processing for 2 minutes at D1 and 2 minutes at D2. Machine time available per day is 860 minutes at D1 and 1200 minutes at D2. How much of product 1 and 2 should be produced every day so that total profit is maximum. (solve with graphical method) Q3. Solve the following LP problem by graphical method: Maximise Z = 300X1 + 700X2 Subject to the constraints: X1 + 4X2 ≤ 20 2X1 + X2 ≤ 30 X1 + X2 ≤ 8 And X1, X2 ≥ 0 Q4.

2. A company purchased machinery that cost 510,000. It is estimated that the machine will be operated for 100,000 hours over its useful life and have a residual value of 10,000.

Required:

A) what is the rate of depreciation per hour?

B) journalize the entry for annual depreciation if the machine had been operated for 22,000 hours?

1. Purchased equipment for 70,000.this equipment has a five year life and an 8000 residual value.calculate depreciation for each of the five years using the declining balance method at twice the straight line rate?

the fraction of defective items in a large lot is ‘p’. to test the null hypothesis h0: p=0.2, one consider the number ‘f’ of defectives in a sample of 8 items and accept the hypothesis if f≤6, and reject the hypothesis otherwise. what is the probability of type-1 error of the test? what is the probability of type-2 error of the test?

. Let T be a random variable giving the number of heads in

three tosses of a coin. List the elements of the sample

space S for the three tosses of the coin and assign a value

to each sample point.