Quadrilateral opqr is inscribed in circle n, as shown below. which of the following could be used to calculate the measure of ∠opq? circle n is shown with a quadrilateral opqr inscribed inside it. angle o is labeled x plus 16. angle p is not labeled. angle q is labeled 6x minus 4. angle r is labeled 2x plus 16.

answer choices
∠opq + (2x + 16)° = 180°
m∠opq = (6x − 4)° + (2x + 16)°
m∠opq + (x + 16)° + (6x − 4)°= 360°
m∠opq = (x + 16)° + (6x − 4)°

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?