A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup. The amount of drink is normally distributed with a standard deviation equal to 0.6 ounces, Part 1: (3 points ) What is the probability that a cup will contain more than 7.72 ounces? Part 2: (3 points ) What is the probability that a cup contains between 6.72 and 7.06 ounces?Part 3: (4 points ) Suppose we want to regulate this machine so that only 5% of the drinks go above a certain value. What should be that cut off value for this soft-drink machine?Part 4: The machine is checked periodically by taking a sample of 9 drinks and computing the average content. If falls in the interval , the machine is thought to be operating satisfactorily, otherwise, we conclude that ounces. i) (3 points ) Find the probability of committing a Type I error when ounces. ii) (3 points ) Find the probability of committing a Type II error when ounces.

Which inequality has a dashed boundary line when graphed ?

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96

How can you use synthetic substitution to tell whether a given binomial is a factor of a polynomial?