Math Answers

The weights (lb) of discarded plastic from a random sample of 62 household has sample mean of

"\\bar{x}=1.911"

and a sample standard deviation of

"s=1.065"

.The sanitation department claims that the mean discarded plastic from all households is greater than 1.8 lb.Use a 0.05 significance to test this claim.What is the claim written in symbolic form?

Susan plans to invest $400 at 15% annual interest compounded continuously. When will her investment triple in value?

Suppose $200 is invested at 6% annual interest compounded continuously. When will the investment be worth $800?

A printing machine valued at $3000 depreciates at a constant rate of 18% per year. In how many years will the machine be worth $750?

A town has a population of 18000 and grows at 2% every year. What will be the population after 12 years, to the nearest whole number?

Consider a population of size N = 9. How many different random samples of size n = 6 are possible from a population of N = 9?

A claim states that the mean income of families in a certain city is at least 18,500. What kind of hypothesis does the claim state?

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X

find the value of x if A = [[x, 2], [4, 3]] and A ^ - 1 = [[- 1/2, 1/3], [2/3, 0]]

Reflect on the concept of composite and inverse functions. What concepts (only the names) did you need to accommodate these concepts in your mind? What are the simplest composite and inverse functions you can imagine? In your day to day, is there any occurring fact that can be interpreted as composite and inverse functions? What strategy are you using to get the graph of composite and inverse functions?