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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ score separating the top 14% from the others.
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
Suppose the altitude of a rising hot-air balloon is given by h = 0.04 t2 + 2t, where ?t? is the time in seconds after the balloon leaves the ground.
an empty bin in the shape of a rectangular prism has sides 1.2m, 1.5m and 2.0m, a. calculate the volume of the empty bin in m3
1. petros wishes to retire in 10 years from now. he has 250000 in his rrsp currently and will contribute 5000 at the
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
Find the condition that the curve y = mx + c to be a tangent to the parabola y^2 = 4 ax and also determine the point of contact.
Solve by factoring. A rectangular poster has an area of 190 in.^2. The height of the poster is 1 in. less than twice its width. Find the dimensions of the poster.
The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250.
The resulting value, Corey reasons, will yield the maximum point. Explain fully why Corey's method is flawed.
Probability question. A doctor's office has 4 examination rooms. At any given time, each room can either be occupied or empty. How many configurations of occupied and empty examination rooms are possible?
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