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The parallel plates of an air capacitor are separated by 2.25 mm. Each plate carries a charge of 6.50 nC. The magnitude of the electric field of the plates is 4.75x10^5 V/m. Find the (a) potential difference between the plates, (b) capacitance, and (c) area of plate.


Consider the following statements:

A. The product of 2 numbers of opposite signs will be a negative number

B. The reciprocal of an improper fraction is a proper fraction

C. The reciprocal of 1 is −1

Which ONE of the following is TRUE?

[1] Both A and B are correct

[2] Only B is correct

[3] Neither A nor C is correct

[4] Only C is correct


Wich of the following statements regarding stock and flow variables is correct?

suppose that the demand and total cost function of a monoplist are P=24-3Q and C=Q²+8Q respectively, finde the optimum quality ,price and profit on these levels.

. Define the following terms: (25) a) Feasibility study b) Feasibility Report c) Project d) Data Collection e) Gantt Chart 2. What are the reasons why we should do a feasibility study (15) 3. Name and explain 5 components of feasibility study (20) 4. Difference between (20) a) Business plan and Feasibility report b) Primary and Secondary data collection 5. List and explain 5 types of Data collection(10)


2. Gillbert got a new job in a shoe store. The number of pairs of shoes he was able to sell for three days are 2, 4, and 5. Assume that samples of size 2 are randomly selected with replacement from this population of three values.

a. List down the 9 different possible samples.

b. Find the mean of each sample.

c. Find the mean of the sampling distribution of means.

d. Identify the probability of each sample.

e. Find the population mean.

f. Compare the population mean with the mean of the sampling distribution of means.


Prove that \sum_{i=0}^{n} 2^{i} = 2^{n + 1} - 1 Use mathematical induction for this proof and discuss/explain each step.

Find latitude and longitude of utmost 20 countries,ordered by population greater or equal to the population limit given below and have atleast one currency exclusively for themselves.(countries like Madagascar,sri Lanka but not India,USA).

How many possible random samples of size 4 can be drawn from a population of size 8?


1. For a sample of 35 items from a population for which the standard deviation is σ= 20.5 , the sample mean is 458.0. At the 0.05 level of significance, test H0: μ= 450  versus H1: μ> 450  . Determine and interpret the p-value for the test.


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