Write an inequality to represent the situation described, and draw the corresponding graph.The difference of the x-coordinate and three times the y-coordinate is greater than or equal to 6.
A. x - 3y ? 6
B. x - 3y ? 6
C. x - y ? 18
D. x - 3y ? 6
Answer: D
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Write the equation for the plane.The plane through the points P(5, 8, -33) , Q(-3, -6, 19) and R(-1, 7, -13).
A. 3x + 2y + z = 2 B. 2x + y + 3z = -2 C. 3x + 2y + z = -2 D. 2x + y + 3z = 2
Determine whether the variation between the indicated quantities is direct or inverse.The intensity of a light as measured by a light meter and the distance between the light and the meter.
A. Inverse B. Direct
Identify the problem with the method used to obtain a random sample.April Summer is the cable TV coordinator for her town. She is planning to research the opinions of adults in the town regarding a proposed change in regulation of cable TV companies. She obtains a sample of 60 adults by choosing every 1000th name from the telephone directory.
A. Not all names listed in the telephone directory have an equal chance of being selected. April should use a random number generator to choose the names from the phone book instead of choosing every 1000th name. B. The sample is biased as only those adults with a phone whose number is listed in the directory have a chance of being selected. C. The sample is biased as April is not objective. Someone other than April should obtain the sample.
Solve the problem.One Internet service provider has the following rate schedule for high-speed Internet service:Monthly service charge$18.001st 50 hours of usefreeNext 50 hours of use$0.25/hourOver 100 hours of use$1.00/hourWhat is the charge for 50 hours of high-speed Internet use in one month?What is the charge for 75 hours of high-speed Internet use in one month?What is the charge for 135 hours of high-speed Internet use in one month?
Fill in the blank(s) with the appropriate word(s).