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A strong linear relationship exists between two variables (r = 0.97). The equation of the least squares line(regression equation) is y = 15.75 - 0.55x. For what values of x should we use this equation to make predictions? Below are the ordered pairs used to calculate the regression equation.
(5, 5.5), (7, 8), (8, 8), (10, 9), (11, 10), (12, 11)
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point?
Find the sample size: We desire to be within plus or minus 4 units. We will have a 95% confidence interval and the population standard deviation is 15. What is the estimated sample size?
Darla wants to plant strawberries in her rectangular garden. If the dimensions of the garden are ' by ' and each plant must be 3 feet away from any other plant or any edge, what's the maximum number of plants she can plant?
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
Estimate the relative error in the calculated surface area.
A total of 393 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
The mass of Uranus is about 8.7 x 10^22 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Uranus is the mass of the sub? Give you answer in scientific notation.
Find the demand function , where is the number of the spectators
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