Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

If an event is certain to occur, its probability is 1.

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

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

Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. you take samples and find that the 99% confidence interval of what they are sending is 50.00 to 50.36. what conclusion can be made? homework : 5vd. comparing sample confidence intervals with given intervals (links to an external site.)links to an external site. (3: 43) 5dc. confidence intervals in manufacturing, high vs low level of confidence, wide vs narrow (links to an external site.)links to an external site. (docx) the supplier is less accurate than they claimed the supplier products have a lower mean than claimed the supplier is more accurate than they claimed the supplier products have a higher mean than claimed