Math Answers

1.Find the Maclaurin series for thefunction f(x)= (x^2+ 2-x)^5/2and its radiusofconvergence

Consider a population consisting of 1 2 3 4 and 5, suppose sample size of 2 are drawn from the population what is the mean, variance and standard deviation of the sampling distribution?

The article “A Thin-Film Oxygen Uptake Test for the Evaluation of Automotive Crankcase Lubricants” reported the following data on oxidation-induction time (min) for various commercial oils: 87 103 130 160 180 195 132 145 211 105 145 a. Calculate the sample variance and standard deviation. b. If the observations were reexpressed in hours, what would be the resulting values of the sample variance and sample standard deviation? Answer without actually performing the reexpression.

If a cup of ice cream is selected. what is the probability that the cholesterol content will be more than 670mg?

The average pre-school cost for tuition fees last year was ₱14,200. The following year, 20

institutions had a mean of ₱13,100 and a standard deviation of ₱2,250. Is there sufficient evidence

at 𝛼= 0.10 level of significance to conclude that the mean cost has increased?

SOLUTION:

Step 1 𝐻0:____________________________________________________

𝐻𝑎: ____________________________________________________

Step 2. 𝛼= _________

Step 3. 𝑧𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙 = _________

Step 4. Compute the test statistic.

Step 5. Decision Rule:_______________________

Step 6: Conclusion.

Tammy has a circular garden with a diameter of 36 feet. She will create 4 stone

pathways in the garden that will form an inscribed quadrilateral in her circular

garden. Tammy wants the straight-line distance between one pair of opposite

vertices to be 36 feet. She also wants two consecutive pathways to have

lengths of 24 feet and 12 feet. Tammy will plant marigolds along the shorter edge of

the garden that is cutoff by the pathways of lengths 24 feet and 12 feet.

What length, to the nearest tenth of a foot, of the edge of the garden will be planted

with marigolds?

what's the probability of Rolling an even number on a die and then flipping a coin that lands on heads give your answer as a reduced fraction

A population consist of numbers 2 5 6 8 and 9, construct the sampling distribution of sample mean with sample size of 3. make a histogram of the distribution.

Given a population of 5000 scores with mean= 86 and SD= 10. How many scores are above 116

f(x,y)= -(x²-1)²-(x²y-x-1)²

Find the critical points of f (x, y) and Using the Second Partials Test (SPT), find the relative extrema’s of f (x ,y)