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F(x) = 4x2 + 6x


A random sample of size 15 has 50 as mean, the sum of the

squares of the deviation taken from mean is 130. Can this

sample be regarded as taken from the population having 53 as

mean? Obtain 95% and 99% confidence limits of the mean

for the population.(t test example)


the weight of all male senior high school students from one province is measured and is found to be approximately normally distributed with a mean of 115 lbs and standard deviation of 3 lbs. find the percentile rank of the following weights?








A. 112 lbs








B. 115 lbs

Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?


Q.2- 1) For the given relation R = {(1,1), (1,2), (2,3), (3,1), (3,2)} defined on set A = {1,2,3}, find its transitive closure, R* using Warshall’s algorithm *





Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?


Find the dy/dx of each of the following:

1.y=〖5x〗^3-〖4x〗^2+3x-6


2.y=∛x+4/x+√x


3.y=(3-x^2 )(x^3-x+1)


4.y=(x^2+1)(x+5+1/x)


5.y=(5x+1)/(2√x)


How to show the polynomials are linearly dependent or independent





How to determine the radius and coordinates of a circle while given equation





Using the row reduction method to solve equations

Ms. Cruz wants to know the average weekly allowance of the grade 10 students. She randomly asked 50 students how much their weekly is. She found out the average weekly allowance of these 50 students is 375. Identify the parameter and statistic.

uppose sample of size of 36 is drawn from a population with a mean of 60 and standard deviation 12. What is expected value of sample means?


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