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Kari is buying a new window. the new window is rectangular , with a semicircle on top of the rectangle. the vertical length of the rectangle of the rectangle is 48 inches. the horizontal width of the window is 32 inches. what is the area of the window?
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
A 40 year old woman with a resting hear rate of 170 beats per minute should keep her heart rate between 136 and 158 beats per minute while exercising. She checks her pulse for 10 seconds while exercising. What should the number of beats be?
Because the sample size is small, we must verify that reading speed is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
If the snowfall from 36 randomly selected years are chosen, determine the probability that the snowfall would be less than 95 inches?
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
Find an equation for the planet's orbit. (Place the origin at the center of the orbit with the sun on the x-axis.
The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
Mary works due north of home. her husband Ray works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Rays's distance from home. How far from home is Ray?
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
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