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An isosceles triangle has sides of length x, x and y. In addition, assume the triangle has perimeter 12.
Find the rule for a function that computes the area of the triangle as a function of x. Describe the largest possible domain of this function.
Approximately 70% of all marketing personnel are extroverts, whereas about 65% of all computer programmers are introverts. (Round your answers to three decimal places.)
A group of nine students has a mean of 3.5 people per . Make a line plot showing a data set that fits this household.
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
Find the product of all the three zero of the second polynomial
Complementary events. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are ind..
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
Use the Empirical Rule to find what two values 68% of the data will fall between for a data set with a mean of 293 and standard deviation of 19.
The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing?
Two-thirds of the people in a room are seated in three-fourths of the chairs. The rest of the people are standing. If there are 6 empty chairs, how many people are in the room?
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
Eleven customers at a supermarket are asked independently if they use brand X laundry soap. In general, 25% of the population use this brand. What is the probability that among the eleven, more than two people use brand X? (Round your answer to 4 ..
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
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