Suppose x has an exponential distribution with mean equal to 14. determine the following:
(a) upper p left-parenthesis x ⁢ greater-than 10 right-parenthesis (round your answer to 3 decimal places.)
(b) upper p left-parenthesis x ⁢ greater-than 20 right-parenthesis (round your answer to 3 decimal places.)
(c) upper p left-parenthesis x ⁢ less-than 30 right-parenthesis (round your answer to 3 decimal places.)
(d) find the value of x such that upper p left-parenthesis upper x ⁢ less-than x right-parenthesis equals 0.95. (round your answer to 2 decimal places.)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

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

Lana's family entered a 5-kilometer race lana's average step length is about 0.5 meter how many steps will she need to take the finish