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A literature professor decides to give a 20-question true-false quiz to determine who has read an assigned novel. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than .05. What score should she set as the lowest passing grade?
A dealer offers a computer software program whose list price is $500 at a 19% discount. She will give an extra 3% discount if paid in cash. What is the selling price if payment is made in cash?
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0 at the point (1,2,0). Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only:
Linear equations provide information on how quickly data are rising or falling, known as the slope of the equation. Find a real-world application of a linear equation and discuss the meaning of the equation.
A plane is heading due south with an airspeed of 227 mph. A wind from a direction of 60 degrees blowing at 16 mph. Find the bearing of the plane.
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
the perimeter of a rectangular concrete slab is 94 feet and its area is 462 square feet. What ids the length of the longer side of the slab.
Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your discussion by defining each term in general first and then show how the definition relates to this specific example.
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