You are planning your week-end schedule. you can spend at most 8 hours paying video games and doing homework. you want to spend less than 2 hours playing video games. you must spend at lest 1.5 hours on homework. which of the following is the system of equations that would represent this situation? let v= number of hours spent playing video games and let h = the number of hours spent on homework.
a) none of these
b)v< 2
h≥ 1.5
v+ h≤ 8
v≥0
h≥0
c) v< 1.5
h≥2
v+h≤ 8
v≥0
h≥0
d) v> 1.5
h≤2
v+h≥8
v≥0
h≥0
e) v> 2
h≤ 1.5
v+h≥8
v≥0
h≥0

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.