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Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
Sketch the region enclosed between 2 - z = x2 + y2 and z2 = x2 + y2. Describe their curve of intersection
Probability Problem explained in this solution. Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to..
Find the function and cost of a pizza with 5 toppings.
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
There are 5 pirates and a pot of 100 gold pieces. All the pirates have different ranks. The most senior pirate has to propose a split of the gold, such that at least half of the pirates agree.
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
How many times does the graph of a quadratic equation (a parabola) cross the x-axis? I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if ..
Find the number b such that the line y = b divides the region bounded by the curves y = 9x2 and y = 1 into two regions with equal area. (Round your answer to two decimal places.)
Let D = {z: |z|
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
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