Tess and dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. they both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. to check if she has enough to purchase the book, tess takes 15% of $24.50 and subtracts that amount from the normal price. she takes 10% of the discounted selling price and adds it back to find the purchase amount. dan takes 85% of the normal purchase price and then computes 110% of the reduced price. is tess correct? is dan correct? do they have enough money to purchase the book? explain your answer using complete sentences, and show your work.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.