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2. How many 4 letter words can be created, if repetitions are allowed?
3. How many three digit numbers can be formed?
4. How many words (of any number of letters) can be formed from GAME?
5. How many 3-digit, 4-digit, or 5-digit numbers can be made using the digits of 46723819?
6. How many numbers between 999 and 9999 are divisible by 5 and have no repeated digits?
7. How many ways can you order the letters in KEYBOARD if K and Y must always be kept together?
8. How many ways can 4 rock, 5 pop, and 6 classical albums be ordered if all albums of the same genre must be kept together?
9. In how many ways can the letters from the word EDITOR be arranged if vowels and consonants alternate positions?
10. If 8 boys and 2 girls must stand in line for a picture, how many line-up’s will have the
How many two-digits numbers can be made from the digits 6,7 and 8 if repetition of the digits is allowed
A firm has the following average cost function:
AC = 50+10/Q
(a) Show by differentiation that AC decreases indefinitely as Q
increases. Give an economic interpretation of this phenomenon
(b) Write down the equation for total cost. Hence, write down the
equation for total variable cost and average variable costs. State the
value of fixed costs.
(c) Write down the equation for marginal costs. Comment on the
relationship between TC and MC in this example.
Deliwe inherits R600 000. She decides to have it paid to her in two payments: one payment four years from now and the second payment twice the size of the first payment, eight years from now. If money is worth 12,6% per year compounded quarterly, then the amount of money that Deliwe expects to receive eight years from now is .
The manager of the machine-made kretek kretek cigarette company RAENAK found that 12% of its production was below production standards (poor). One day, the manager received a report that on that day 17% of substandard cigarette products were obtained from a random sample of 1000 cigarettes. Test whether the manufacturing defects (17%) are random or permanent (machines need to be repaired)! Use a= 0.05!
Manajer perusahaan rokok RAENAK sigaret kretek mesin mendapati bahwa 12% dari produksinya berada di bawah standar produksi (buruk). Pada suatu hari, manajer tersebut mendapatkan laporan bahwa pada hari tersebut didapatkan produk rokok di bawah standar sebesar 17% dari sampel acak sebesar 1000 batang rokok. Ujilah apakah cacat produksi (sebesar 17%) tersebut bersifat random atau permanen (mesin harus diperbaiki)! Gunakan a= 0,05! The manager of the machine-made kretek kretek cigarette company RAENAK found that 12% of its production was below production standards (poor). One day, the manager received a report that on that day 17% of substandard cigarette products were obtained from a random sample of 1000 cigarettes. Test whether the manufacturing defects (17%) are random or permanent (machines must be repaired)! Use a=0.05!
A company manufactures a new type of mosquito repellents with the period of effectiveness that is approximately normally distributed with a standard deviation of 30 hours. A sample of 40 repellents was taken and the average period of effectiveness is 290 hours. Calculate a 96% confidence interval for the true mean of the period of effectiveness
A businessman buys R100 000 of equipment on the following terms:
Interest will be charged at a rate of 12% per year compounded semi-annually, but no payment will be made until two years after purchase. Thereafter equal semi-annual payments will be made for five years. The semi-annual payment is....
A. R22 343,83
B. R17 153,02
C. R29 970,75
D. R13 586,80
Mr. Akrong gave his two children Nii and Naa a total of GH¢ 900.00 as a
present. Nii immediately paid Naa GH¢ 75.00 to repay a loan. They then
found that Naa had twice as much as Nii. How much did each of them
receive from their father?
The number of typing errors on a page follows a Poisson distribution with a mean of 6.3.
Find the probability of having exactly six (6) errors on a page.
