A survey asked 24,000 national park visitors to choose their favorite type of landscape. The results are shown in the following table. (a) Find the percentage for each type of landscape. Type of landscape Number of park visitors Percentage x 5 ? Beach 6720 Mountain 10,800 [% % 1% 1% Forest 5040 Plains 1440 (b) Construct a percent bar graph for the data. 4% 88% 4% 4% 0% 4% 92% 96% 100% Beach Mountain Forest Plains x 6

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Consider circle o, where and . m∠bpd °. °.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?