A connecting of rod 24 inches in length is attached at Q to a drive wheel whose radius is 6 in. when OP, the distance from P to the center of the wheel, is 26 inches, find the angle QOP.
A mountain is seen in a direction 30° north of east and is known to be 5 miles away from another mountain as seen in a direction 40° north of east 8 mile distance. how far apart are the two?
A firm buys 3 shipments of parts each month .The purchasing agent selects at random from among four in state suppliers .What is the probability that the orders are placed with
a. in-state suppliers only.
b. out of state suppliers only.
c. at least in state suppliers only.
A telephone company representative estimates that 40% of its customers have
call-waiting service. To test this hypothesis, she selected a sample of 100
customers and found that 37% had call waiting. At
0.01
, is there enough
evidence to reject the claim?
By graphing the boundaries of a 2d figure on a graph using these inequalities{3x-2y>-12,y<3,y>-3, and x<0, what is the volume and surface area of the 3d shape produced by revolving this 2d shape around the y axis?
An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x
cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also a
t a distance xcm from one of its ends)
.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.
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