Question the average income in a certain region in 2013 was $62 comma 00062,000 per person per year. suppose the standard deviation is $27 comma 00027,000 and the distribution is right-skewed. suppose we take a random sample of 100100 residents of the region. a. is the sample size large enough to use the central limit theorem for means? explain. b. what are the mean and standard error of the sampling distribution? c. what is the probability that the sample mean will be more than $2 comma 7002,700 away from the population mean?

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

Binh says the point of intersections is (0,-3) which statements identify the errors binh made , check all that apply