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The base of an aquarium with volume V = 220 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
Determine the appropriate importance weights of F1 , F2 , F3 , F4 to be used in the multifactor evaluation process. (Hint: Consider numerator factors of 4.)
There are 3 boxes. Each box contains several envelopes. Some envelopes have "you lose" written on them. The rest say "you win..." . However, of the ones that say "you win..." , some contain only a piece of paper saying "... nothing" . Each of the ..
Estimate rate of changes.
Find the smallest positive integer with exactly n different positive factors when n is: By this approach for 6 the answer would be: 2*3*5*7*11*13?
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
A right triangle is a triangle with one angle measuring 90? In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90?angle).
Find the length of the sides parallel to the store and perpendicular that will maximize the total area of the outdoor enclosure.
Assume that y0 dollars is deposited into an account paying r percent compunded continuously. If withdrawals are at an annual rate of 200t dollars (assume these are continuous), find the ammount in the account after T years.
What are the four categories of financial ratios? Choose one category (excluding liquidity ratios) and list and describe the various ratios in that category. What do the calculated numbers mean for these ratios?
graph y=2x^2+3x-2 in graphmatica and determine if it has a maximum or a minimum, identify the critical point to the nearest hundredth.
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