Let z denote a variable that has a standard normal distribution. determine the value z* to satisfy the conditions below. (round all answers to two decimal places.) (a) p(z < z*) = 0.0244 z* = -1.97 correct: your answer is correct. (b) p(z < z*) = 0.0101 z* = -2.32 correct: your answer is correct. (c) p(z < z*) = 0.0502 z* = -1.64 correct: your answer is correct. (d) p(z > z*) = 0.0199 z* = 2.06 correct: your answer is correct. (e) p(z > z*) = 0.0101 z* = 2.33 incorrect: your answer is incorrect. (f) p(z > z* or z < -z*) = 0.1974 z* = .86 incorrect: your answer is incorrect.

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed