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A vacant lot has the shape of a trapezium having sides 8m, 12m, 18m, and 20m . If the sum of of the opposite angles is 2300 , find the area of the lot in square meters


Please can someone answer this with solutions? Thank you very much








Three positive point charges of 3.0 µC, 6.0 µC, and 2.0 µC, respectively, are arranged in a triangular pattern, as shown in the figure below. Find the magnitude and direction of the electric force acting on the 6.0 µC charge.

Determine the electric flux for Gaussian surface that contains 100 trillion electrons.

A shipment of five computers contains two that are slightly defective. If a retailer receives three of these computers at random, list the elements of the sample space S using the letters D and N for defective and non-defective respectively. To each sample point, assign a value x of the random variable X representing the number of computers purchased by the retailer which are slightly defective

Give an example of relation which is Reflexive, anti symmetric & transitive but not symmetric

Write a console application that initialize at least five variables or constants with different data types, the displat thier value.Provide a meaningful identifier of the variables or constants.Name the namespace as DataTypeApp and its class as DataTypeProgram

Random samples with size 30 are drawn from the population with a mean of 25 and a standard deviation of 7. Find the mean and the standard error of the sample mean.


The average monthly electricity bill of households in a particular subdivision is Php3 000 with standard deviation of Php800. Suppose the monthly electricity bill follows a normal distribution. What is the probability that the average monthly electricity bill of 15 households is more than Php3 200?


A certain university produced 895 licensed teachers after they successfully passed the Licensure Examination for Teachers (LET). The professional Regulation Commission (PRC) records show that the examinees form that university posted an average rating of 85 with standard deviation of 2. If 36 successful examinees are selected at random, what is the probability that their ratings fall between 84 and 86?


A random sample of 60 students is chosen from a large population with an average diastolic blood pressure of 100 and a standard deviation of 36. What is the probability that the mean diastolic blood pressure of these 60 students is less than 110?


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