A group of boys and girls planted a total of 148 trees. Each boy planted 7 trees, and each girl planted 5 trees. There were 4 more boys than girls in the group. How many boys were there in the group? 1. Identify the unknown quantity that you are required to find in the problem.
2. Use a letter (e. g. x) to represent the unknown quantity.
3. Express other quantities in terms of the letter that represents the unknown quantity. In this case, express each of the following in terms of x.
(a) the number of girls
(b) the number of trees planted by all the boys
(c) the number of trees planted by all the girls

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2 a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

The area of each triangle is 7 square units. the surface area of the triangular prism is

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)?