Answer:
The standard error of the proportion is 0.112.
Step-by-step explanation:
The standard error of a proportion is given by the following formula:

In which p is the probability of a success and n is the length of the sample.
In this problem
A success is a student defining themselves regular dietary supplement users. Our of 3000 students, 1500 do. So
.
We take a sample of 20 of them, so
.
So

Let's solve your equation step-by-step.
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
<em>Step 1: Simplify both sides of the equation.
</em>
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)
−66.17738=28.4574x+7.2798+−7.1x+48.28
−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)
−66.17738=21.3574x+55.5598
−66.17738=21.3574x+55.5598
<em>Step 2: Flip the equation.
</em>
21.3574x+55.5598=−66.17738
<em>Step 3: Subtract 55.5598 from both sides</em>.
21.3574x+55.5598−55.5598=−66.17738−55.5598
21.3574x=−121.73718
<em>Step 4: Divide both sides by 21.3574.
</em>
21.3574x
21.3574
=
−121.73718
21.3574
<u>x=−5.7</u>
Answer:
C. The representative failed to have Tim initial by the fuel level on the Check-Out sheet.
Step-by-step explanation:
After reading the paragraph, we can eliminate B, by seeing that the representative did give him a copy of the Check-Out sheet, as quoted. "Since Tim didn’t have any questions, the clerk handed him the keys and a copy of the Check-Out sheet and wished him well.".
We can also eliminate A and D, as the contract stated nothing about dents or the oil level in the car.
The answer is C, as the representative failed to have Tim initial on the Check-Out sheet. That is a requirement for the contract to be valid, as stated. "The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter.". However, Tim never initialed by the fuel level, as stated here. "...the agency representative turned on the car, took note of the fuel level, and indicated it on the Check-Out sheet. Since Tim didn’t have any questions, the clerk handed him the keys and a copy of the Check-Out sheet and wished him well.". No where here does it state that Tim initialed on the Check-Out sheet, meaning that he didn't. Him not doing so invalidates the contract.
Answer:
1 AM
Step-by-step explanation:
9AM(start time) to 9PM = 12 hours + the other 4 Hours, 10PM, 11PM, 12PM, 1AM(end time).