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New questions in Mathematics
431414-1*(11111-1)-4*(5*3)
58+861-87
Using the integration by parts method, calculate the integral of [xยฒ.ln(1/x)]dx: x 4 /4 xยณ/6 x 4 /8 xยณ/3 x 4 /6
Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?
Suppose the horses in a large they will have a mean way of 818 pounds in a variance of 3481. What is the probability that the mean weight of the sample of horses with differ from the population mean by more than 18 pounds is 34 horses are sampled at random from the stable.
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
(2x+5)^3+(x-3)(x+3)
2/3+5/6ร1/2
Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1โ(1/2)*cos(ฯt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
7. Find the equation of the line passing through the points (โ4,โ2) ๐๐๐ (3,6), give the equation in the form ๐๐ฅ+๐๐ฆ+๐=0, where ๐,๐,๐ are whole numbers and ๐>0.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
If A and B are any events, the property that is not always true is: a) 0 โค ๐(๐ด โฉ ๐ต) โค 1 b) ๐(ฮฉ) = 1 c) ๐(๐ต) = 1 โ ๐(๐ต๐) d) ๐(โ ) = 0 e) ๐(๐ด โช ๐ต) = ๐(๐ด) + ๐(๐ต)
How to do 15 x 3304
sum of 7a-4b+5c, -7a+4b-6c
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x โ Df). Determine a function ฦ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dmยฒ. Show that this function f has neither a local maximum nor a global maximum
What is the set-off agreement? Make your own example, describe and put in T accounts how you record transactions.
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You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License FeesโTruck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License FeesโTrailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)
Which of the methods below can be used to workout 95% of an amount? a. Dividing the amount 100 and multiply by 95 b. Working out 5% of the amount and taking it away from the full amount c. Dividing 95 by 100 and multiplying the answer by the amount d. Dividing the amount by 95 and then multiply by 100
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The population of Pittsburgh, Pennsylvania, fell from 520,117 in 1970 to 305,704 in 2010. Write an exponential function P(t) modeling the population t years after 1970. Round the growth factor to the nearest tem thousandth.
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