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Q1. Solve: 4x/5 - (x+3)/3 = (2x+ 1)/10 -2
Q2. Solve and graph. -2 ≤ 7/5 x + 16 ≤ 68
Q3. Solve and graph: -1 ≤ 7/5(3 + x) ≤ 5
Q4. Solve using quadratic formula: x2 -5x -50 = 0
Q5. Solve using quadratic formula: x2 - 2x -24 = 0
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
Find the predictive value of a positive test.
How long will it take you to reach the Donut Hole after entering Nevada. Find your velocity v(t) as you drive toward the Donut hole. Are you accelerating or decelerating as you approach the Donut Hole? At what rate?
Calculate the value of the standard deviation, assuming the standard deviation is unknown, but 90.82% of the costs are more than $7000.
for a product-testing focus group, a company selects 10 men and 10 women at random from a population that has approximately equal numbers of both. Is this an example of a cluster sample?
In scholarship interviews, a famous question asked is: How many trees are there in the world? Simply reporting an answer will not be credited: you must give a detailed solution supporting your answer.
A plane flies 540 miles for 2 hours in the direction of the wind. Then it turns around and flies 690 miles for 3 hours against the same wind. Find the speed of the plane in still air and the wind speed.
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
If a manager sets the reorder point at 30, determine the probability of a stock-out on any given order cycle. Determine the number of times the manager should expect a stock-out during the year if this reorder point were used.
We know that the space R2 is two-dimensional. Consider a vector v = (-3, 4). Find the vector projection of v onto a and b respectively, denote them by projav, and projbv.
What is the area of the circle
A semicircular plate rests on the x-axis, between x = -2 and x = 2. Assuming that the density of the plate varies with a continuous mass-density function given by ρ(y) = (1+y) gram / square cm, find the total mass of the plate.
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