He work of a student to solve the equation 2(4x − 4) = 8 + 4x + 4 is shown below: Step 1. 2(4x − 4) = 8 + 4x + 4 Step 2. 6x − 6 = 12 + 4x Step 3. 6x − 4x = 12 + 6 Step 4. 2x = 18 Step 5. x = 9 In which step did the student first make an error and what is the correct step? Step 2, 8x − 6 = 2(6 + 2x + 2) Step 2, 8x − 8 = 12 + 4x Step 3, 6x − 4x = 12 − 6 Step 3, 6x + 4x = 12 + 6

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?

Michele wanted to measure the height of her school’s flagpole. she placed a mirror on the ground 48 feet from a flagpole, then walked backwards until she was able to see the top of the pole in the mirror. her eyes were 5 feet above the ground and she was 12 feet from the mirror. using similar triangles, find the height of the flagpole to the nearest hundredth of a foot.

Jenna is a swimmer and trains every day. the schedule shown outlines the number of hours she trains each day. if she misses the wednesday practice, what is the total number of hours that she trains?