The results of a survey indicate 70% of seventh-graders watch at least one movie during the weekend. Based on this survey of a group of 50 seventh-graders, how many will watch at least one movie this weekend?

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

The image of the point (-6, -2)under a translation is (−7,0). find the coordinates of the image of the point (7,0) under the same translation.

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de