Mikayla and Mackenzie began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mikayla took a test in Science and earned a 75, and Mackenzie took a test in Social Studies and earned a 69.2. Use the fact that all the students' test grades in the Science class had a mean of 71.2 and a standard deviation of 10, and all the students' test grades in Social Studies had a mean of 60.9 and a standard deviation of 8.6 to answer the following questions.

a) Calculate the z-score for Mikayla's test grade.

b) Calculate the z-score for Mackenzie's test grade.

c) Which person did relatively better?

i. Mikayla

ii. Mackenzie

iii. They did equally well

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

When 142 is added to a number the result is 64 more then 3 times the number. option 35 37 39 41

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.