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Find the number of different ways to draw a 4-of-a-kind hand from a standard 52 card deck, i.e. X X X X Y where the X's are four cards of the same rank (A to 2) and Y differs from X in rank. (Note: there are 4 suits per rank.) Let's think this through together.
(a) Suppose we pick the cards in order of X X X X Y. How many ways can we pick the 1st card from the deck of 52 cards?
(b) Now if the 2nd card has to match the rank of the 1st card, how many ways can we pick the 2nd card from the remaining 51 cards in the deck?
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
Find the area of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (1, 3), and the x-axis.
Reflect on the content that you completed in ALEKS this week. Provide one (1) example of information you learned from your completed work that you believe is applicable to a real-world situation. Justify your response. Topic: Geometry, Measurement, ..
1. Shear plane angle and shear strain: In an orthogonal cutting operation, the tool has a rake angle = 15°. The chip thickness before the cut = 0.31 mm and the cut yields a deformed chip thickness = 0.70 mm. Calculate (a) the shear plane angle and (b..
A $17,720 used car can be purchased with $960 down, the balance plus a 14.50% add-on interest rate to be paid in 48 monthly installments. Find the monthly payment, rounded to the nearest dollar.
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
How many five-letter permutations can be formed from the first five letters of the alphabet?
What is the predicted height in feet of a tree that produces 88 pounds of oranges?
An anchor weighing 130 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
A twin engined aircraft can fly 1520 miles from city A to city B in 5 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
find the perimeter of the triangle lying in xyz-space with vertices at the points: (5,-2,3), (4,7,3), and (4,7,9)
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