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A card is selected from a standard deck of 52 playing cards. Find the probability of selecting
1. a prime number under 10 given the card is red. (1 is not prime.)
2. a King, given that the card is not a heart.
3. a nine given the card is a face card. (An ace is not a face card.)
Show step by step work. Give all solutions exactly in reduced fraction form
Find the area of the shaded region. The hexagon is regular. Round to the nearest hundredth.
There is a difficult question on my assignment regarding the Mandelbrot set. It asks for me to develop a general rule for the set of c values that will be part of the set.
a city drains 178,00 gal of water from a full spherical tank with a radius of 29ft. how many gallons of water are left in the tank?
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300.
A stereo sells for $189.79. If the stereo is 15% off and the sales tax is 8%, what is the total price?
The interest formula shows how interest, rate, and time are related. It gives you a way of finding one of these values if the other three values are known. Even though you try to be careful in your calculations, there will always be that occasion ..
Stating the null & alternate hypotheses
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get (a) a pair
A) How many jerseys (try it in steps of 10, so 200, 210, 220, etc.) should target order (assume unsold jerseys have $0 value)?
Each week the company has 1200 pounds of peat, 800 pounds of perlite, and 600 pounds of organic material available. How many 20-pound bags of each mix should be packaged in order to maximize weekly profit?
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