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1. What is the equation of the line through (1, 2) and (3, -1)?
2. What is the vertex of f(x) = x2 - 6x + 3?
3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
The gestation time for human babies is assumed to be normally distributed with a mean of 278 days and a standard deviation of 12 days. What happens to the standard deviation of the sampling distribution of the sample mean as n increases?
According to the American Cancer Society, one in twelve women will develop breast cancer at some time in her life. Of the numbers mentioned, which are parameters?
A linear regression model has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?
how long is a guy wire that reaches from the top of a 12-ft pole to a point on the ground 5 ft. from the bottom of the pole.
Describe the order of operations and explain how it is used to simplify expressions. Explain specifically the order in which mathematical operations must be performed to correctly simplify an expression.
Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
Suppose that a car normally sells for $16,500 and is now on sale for $14,000. What is the percent of discount? If necessary, round your answer to the nearest tenth.
the average of freshman college students is 18.5 years with a standard deviation 0.4 years.a. let x denote the mean
Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A''B''C''D''. If the length of and are 5.6 units and 2.24 units respectively, what is the value of the scale factor?
Explain why the system has a unique solution.
question the minute hand on a watch is 8 mm long and the hour hand is 4 mm long. express the square of the distance
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