Installation of certain hardware takes a random amount of time. The installation times form a normally distributed distribution with a standard deviation 5 minutes and a mean of 45 minutes. A computer technician installs the hardware on 31 different computers. You are interested to find the probability that the mean installation time for the 31 computers is less than 43 minutes. Select the most appropriate item that pertains to the problem.

a. z=-0.4
b. none of these
c. z=-2.23
d. z=2.23

And,
What is the probability that the mean installation time for 31 computers is less than 43 minutes?

a. 0.400
b. 0.345
c. none of these
d. 0.0129
e. 0.987

Tim has obtained a 3/27 balloon mortgage. after the initial period, he decided to refinance the balloon payment with a new 30-year mortgage. how many years will he be paying for his mortgage in total?

Have you ever been in the middle of telling a story and had to use hand gestures or even a drawing to make your point? in algebra, if we want to illustrate or visualize a key feature of a function, sometimes we have to write the function in a different form—such as a table, graph, or equation—to determine the specific key feature we’re looking for. think about interactions with others and situations you’ve come across in your own life. how have you had to adjust or change the way you represented something based on either the concept you were trying to describe or the person you were interacting with? explain how the complexity or layout of the concept required you to change your style or presentation, or how the person’s unique learning style affected the way you presented the information.

The algebraic expression shown below is missing two whole number constants. determine the constants so that the expression simplified to 14x + 11 4x + 8(x + + + 2x