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The area of a rectangle is 96 š‘š‘š2 . If the breadth of the rectangle is 8 š‘š‘š, find its perimeter. [1] 20 š‘š‘š [2] 48 š‘š‘š [3] 32 š‘š‘š [4] 40 š‘ļæ½


4. A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by š‘‡š¶=13š‘„3āˆ’5š‘„2+20š‘„+50, where TC is the total cost and Q is the level of output.

a) What level of output should the firm produce to maximize its profit?

b) Determine the level of profit at equilibrium.

c) What minimum price is required by the firm to stay in the market?


Select the correct answer for the perimeter of a rectangle with a length of 16 š‘š and a width of 4 š‘š. [1] 20 š‘š [2] 40 š‘š [3] 64 š‘š [4] 80 š‘šĀ 


The head of the Philippine University (PU) observes a decline on the alcoholic expenditures of learners from a monthly expenditure of Php 350 pesos in the previous year. To check on this, he randomly selected 10 PU learners who drink alcoholic beverages and asked the amount, in pesos, that they usually spend on alcoholic beverages in a month. It is known that the usual amount spent on alcoholic beverages by learners who drink alcoholic beverages follows the normal distribution with standard deviation of Php 10. The data collected are: 400, 235, 200, 250, 200, 300, 500, 430, 420, and 220.





Construct and interpret a 95% confidence interval for the true mean amount spent by the learners on alcoholic beverages.





Find a 90% confidence interval for the true mean amount spent by the learners on alcoholic beverages.










A scale reads 328 N when a piece of brass is hanging from it. What does it read (in N) when it is lowered so that the brass is submerged in water?


The leader of the association of jeepney drivers claims that the average daily take home pay for all jeepney drivers in Baguio City is 400 pesos. A random sample of 100 jeepney drivers in Baguio City was interviewed and the average daily take home pay of these drivers is found to be 425 pesos. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in Baguio City is different from 400 pesos. Assume that the population variance is 92 pesos.


for (int i = 1; i <= 100; i++)


{


for (int j = 2; j < i; j++)


{


if (i % j == 0)


{


bcd++;


break;


}


}


if (bcd == 0 && i != 1)


{


cout << i << endl;


}


bcd = 0;


}

beryllium (Z=4) and its cation formed when losing two

electrons.


a body of mass 0.004kg executes SHM the force acting on the body when the displacement is 8cm is 0.024kgwt find the periodif the maximum velocity is 5m s find amplitude and maximum acceleration given g 9.8 m s²

Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function. (3 items x 5 points)



The movie won the Academy Award for the past 2 years.


1 + 3 = 4


(x+2)2 is a prime number.


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