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MATH SOLVE
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Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will find the dog that day is 0.25. Similarly, if the dog is in B and Oscar spends a day looking for it there, the conditional probability that he will find the dog that day is 0.15. The dog cannot go from one forest to the other. Oscar can search only in the daytime, and he can travel from one forest to the other only at night. In which forest should Oscar look to maximize the probability he finds his dog on the first day of the search? Given that Oscar looked in A on the first day but didn't find his dog, what is the probability that the dog is in A? If Oscar flips a fair coin to determine where to look on the first day and finds the dog on the first day, what is the probability that he looked in A?
General
4 months ago
A motorboat travels 180 km in 3 hours going upstream and 504 in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
General
4 months ago
A triangular flag has an area of 493 square meters and a height of 17 meters. What is the length of the base
General
4 months ago
for each figure, find the missing side lengths. leave your answer as radicals in simplest form.
General
4 months ago
A company manufactures its product at a cost of $0.50 per item and sells it for $0.85 per item daily overhead is $600 how many items must be manufactured each day in order for the company to break even
General
4 months ago
A walking path across a park is represented by the equation y= -4x - 6 . A new path will be built perpendicular to this path. The path will intersect at the point (-4 , 10) . Identify the equation that represents the new path .
General
4 months ago
Please help right now Solve log x = 5.
General
4 months ago
Please need help in these 3 algebra questions !!!!7. Add: (3s2 + 7s + 2) + (5s2 + 9s – 1) A. 8s2 + 16s + 3 B. 8s4 + 16s + 1 C. 8s2 + 16s + 1D. –2s2 – 2s + 18. (–3t2u3)(5t7u8) = _______. A. –15t14u24 B. 2t9u11 C. –15t–5u–5 D. –15t9u1111. The square of a number is equal to 6 more than the number. Find all such numbers. A. –4; –3 B. –2 C. 3; –2 D. –3
General
4 months ago
Solve 3x − 8 = 8 for x using the change of base formula log base b of y equals log y over log b.
General
4 months ago
Solve 3^(x+1) = 15 for x using the change of base formula
General
4 months ago
A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded.267 own a hand gun.437 own a rifle.493 supported the ban on hand guns.136 own both a hand gun and a rifle.206 own a rifle but no hand gun and do not support the ban on hand guns.70 own a hand gun and support the ban on hand guns.48 own both a hand gun and a rifle and also support the ban on hand guns.How many of the surveyed households:(a) only own a hand gun and do not support the ban on hand guns?(b) do not own a gun and support the ban on hand guns?(c) do not own a gun and do not support the ban on hand guns?
General
4 months ago
The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $100. The quantity demanded is 1100 units when the unit price is $50. Find the demand equation.P=
General
4 months ago
1. The volume of a cube is increasing at a rate of 1200 cm/min at the moment when the lengths of the sides are 20cm. How fast are the lengths of the sides increasing at that [10] moment?
General
4 months ago
10,101 base 2 + 11,011 base 2 =
General
4 months ago
A recent study found a correlation between gum disease and heart disease. This result indicates that gum disease causes people to develop heart disease. True or False?
General
4 months ago
NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is given byC(q) = 0.000004q^3 - 0.03q^2 + 100q + 75,000where q is in the interval [0, 10,000].The demand function for this product is given byp(q) = -0.005q + 200.Based on this information, find the following:a) The marginal cost for the company.b) The marginal revenue for the company.c) The marginal profit for the company when 2,000 and 7,000 TV remote controls are manufactured.
General
4 months ago
A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $10, and the variable cost of producing each unit is 60% of the selling price. The monthly fixed costs incurred by the division are $50,000. What is the break-even point for the division? (Round your answers to the nearest whole number.)(x,y)=
General
4 months ago
Water leaks from a vertical cylindrical tank through a small hole in its base at a volumetric rate proportional to the square root of the volume of water remaining. The tank initially contains 300 liters and 22 liters leak out during the first day A. When will the tank be half empty?t16 day (include units.) B. How much water will remain in the tank after 5 days? volume 198 L (include units)
General
4 months ago
Find the solution of the given initial value problem:(a) y' + 2y = te^{-2t}, y(1) = 0(b) t^{3}y' + 4t^{2}y = e^{-t}, y(-1) = 0
General
4 months ago
Let A fa, b,c. B [a, b, d), and C tb, d,e. Find the union of A and B, and then the union of this with C. Also, find the union of the B and C and then the union of this with A. Try to formulate what you have observed.
General
4 months ago
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