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The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,100
Let f be a differentiable function on an interval of the form (a, +∞). Prove that if there is a number r not equal to 0 such that limx→∞(rf′(x) + f(x)) = L is finite, then limx→∞ f′(x) = 0 and limx→∞ f(x) = L. Hint: apply L'Hˆopital's Rule to [e..
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only a ord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
a surveyor locates a point C on land such that CAB = 48.8°. He also measures CA as 317 ft and CB as 527 ft. Find the distance between A and B.
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
Find all the rational zeros of f(x). Then solve f(x) =0. F(x) = x^3 -13x+12 f(x) =0 has solutions x=____. Use commas to seperate answers as needed.
a triangle has sides that are of unknown lengths, but if one side is 12 x, the other sides are 5x and 6 x. Its perimeter is 52 inches. Determine the length of each side, show the steps of your answer clearly, check your answer and then state you a..
In your own words, describe what it means to prove something. Compare and contrast how proving something in mathematics may be different from proving something in your everyday interactions
The results of a recent study regarding smoking and three types of illness are shown in the following table.
question on a sunny day a building and its shadow form the sides of a right triangle.if the hypotenuse is 31 m long and
a plane leaves the aircraft carrier and heads due north at 500km/h. The aircraft carrier heads 30 degrees west of south at 35km/h. The plane only has 4 hours worth of fuel left. Calculate the distance the plane travels north, so that the plane can..
Of 100 Clock radios with digital turners and /or CD players sold recently in a department store, 70 had digital turners and 90 had CD players. How many radios had both digital turners and CD players?
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
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