Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.3 ln (x + 6) – 2 ln (x2 + 7)

Solve the problem.A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 24 bottles and finds the average amount of liquid held by the bottles is 9.8 ounces with a standard deviation of .3 ounce. Calculate the appropriate test statistic.

Solve the problem.A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than 20% of their current students live off campus and drive to class. Suppose a sample of 108 students produced a test statistic of z = -1.35. Find the p-value for the test of interest to the college.

Solve the problem.I want to test H0: p = .4 vs. Ha: p ≠ .4 using a test of hypothesis. If I concluded that p is .4 when, in fact, the true value of p is not .4, then I have made a __________.

Solve the exponential equation.3(10 – 2x) = 9

Solve the problem.In the Smoky Mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by where P is the percent of snow moisture at an altitude h feet. What altitude corresponds to 7 percent snow moisture? Round to the nearest hundred feet.

Solve the problem.To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded mean nicotine content of 28.3 milligrams and standard deviation of 2.4 milligrams for a sample of cigarettes. Construct a 90% confidence interval for the mean nicotine content of this brand of cigarette.

Solve the problem.It is desired to estimate the average time it takes Statistics students to finish a computer project to within two hours at 90% reliability. It is estimated that the standard deviation of the times is 14 hours. How large a sample should be taken to get the desired interval?

If a solution of acetaminophen totals 0.75 L in volume, how many cc does this represent?

According to your Simple Syllabus, you should use your CANVAS INBOX to communicate with your instructor for this course and NOT your Snead email – unless it is an emergency?