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a. Find the volume V(S) of the solid S by revolving the region R bounded by x 2 + y − 4 = 0 and x − y + 2 = 0 about y = 0. (6 pts.) b. Set-up the integral that represents V(S) when the region R in (a.) is revolved about x = −2. (4 pts.)
Using the t-table, give the confidence coefficients for each of the following:
1. n = 12, 95% confidence
2. n = 15, 95% confidence
3. n = 21, 99% confidence
4. n = 23, 95% confidence
5. n = 25, 99% confidence
How many possible samples of size n = 3 can be drawn from a population of size 10?
Determine the area of the normal distribution with mean of 10, standard deviation of 5 and scores between 5 to 12
Assume that when adults with smartphones are randomly selected, 39% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.
As the sample size n increases, the shape of the distribution of the sample means taken from a population with the mean and standard deviation will approach a normal distribution. This distribution will have a mean and standard error.
A. Sample mean
B. Central limit theorem
C. Sample size
D. Sampling distribution
Use the Upper and Lower Bounds Theorem to show that the real zeros of
(i) P (x) = 7x^8+2x^5+x^2-2
lie between −1 and 1.
1. A man saves #100 in his first year of work and each year he saves #20 more than the proceeding year. In how many years will be save #5800.
2. A polygon has 25 sides, the lengths of which starting from the smallest sides are in A.P, if the perimeter of the polygon is 2100cm and the length of the largest side is 20times that of the smallest.find the length of the smallest side and the common difference of the A.P
determine the area of the region indicated 1.32<z<2.47
Use the vertical line test to identify graphs in which y is a function of x.
