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1. The distance from home plate to dead center field in a certain baseball stadium is 403 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base to dead center field?
2. CSC θ + COT θ divided by tan θ +sin θ = CSC θ COT θ
Suppose that 740 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
Suppose the length of a rectangle increases, but the perimeter remains at 70 feet. How does the width change?
Why does the significance level differ among industries? Is the null hypothesis more likely to be rejected at α = 0.01 than α = 0.10? As the significance level increases to α = 0.10 from α = 0.01, which type error is more likely to occur?
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
S4 means symmetric group of degree 4, A4 means alternating group of degree 4, e is the identityIs there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
Perform the operation and make the result in standard form
Solve the given minimization problem by the simplex method.
A 1000-gallon tank, initially full of water developed a leak at the bottom. Given that 500 gallons of water leaked in the first 30 mins. that the water detains off a rate proportional to the amount of water present; find the amount of water left i..
You solution must contain all work necessary to solve the problem. In addition, you must include complete explanation of your reasoning and the explanations of the steps you took toward the solution.
Best Rental charges a daily fee plus a mileage fee for renting its cars. Barney was charged $105 for 3 days and 300 miles, while Mary was charged $191 for 5 days and 600 miles. What does Best Rental charge per day and per mile?
Show that Pacioli's answer is incorrect. What was he thinking of in presenting his rule?
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