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a. A fair die is rolled 500 times. Find the probability that a number 2 or less comes up on at most 150 rolls.
b. The scores on a psychological pro le test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10.
i. What score is required for an applicant to be in the top 10%?
ii.Suppose a random sample of 16 applicants is selected, nd the probability that the sample mean score is above 70.
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Suppose triangle DEF lies inside triangle ABC with AB parallel to DE, AC parallel to DF and BC parallel to EF. Show that the lines AD, BE and CF are concurrent.
A pizza pan is removed at 8:00 PM from an oven at a fixed temperature of 400 degrees into a room that is a constant 72 degrees. After 5 minutes, the pan is at at 300 degrees F. At what time is the pan 135 degrees?
The greenhouse I a building for my wife is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as x. If x equals 20, what id the perimeter?
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
Determine whether the function has an inverse. If it does find it's inverse.
For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.
A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
A drop of oil measuring 0.23 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 20 cm. approximate the thickness of the film. Using scientic notation rounding to the nearest hundredth.
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
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