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Questions in mathematics

[Answered] 6. Find 4 arithmetic means between 5 and 20. (a) Write the formula to calculate arithmetic mean between a and b. (b) What is the 4th mean of the given sequence? Find it. (c) Show that the second middle number is 11.

[Answered] Hugo invests $10,000 with a bank at 0.2% interest. To the nearest dollar, how much money will be in the account after three years if the money is compounded quarterly?

[Answered] Find the amount (in $) of interest on the loan. | Principal | Rate (%) | Time | Interest | | :-------- | :------- | :------- | :------- | | $90,000 | 7 \frac{3}{4} | 6 months | $ \square |

[Answered] Given: Circle X with radius r and circle Y with radius s. Prove: Circle X is similar to circle Y. Statements 1. Translate X to Y 2. Circle X circle Y 3. Circle with center X has radius r 4. Circle with center Y has radius s Reasons 5. x r 6. Y 7. S Assemble the proof by dragging tiles to the Statements and Reasons columns.

[Answered] Find the limit, if it exists. (If an answer does not exist, enter DNE.) [tex]$\lim _{x \rightarrow \infty} \frac{\sqrt{x^2-3}}{2 x-5}$[/tex]

[Answered] Find the LCM and GCD of [tex]$2^3 \times 3^2 \times 5 \times 7$[/tex] and [tex]$2^2 \times 3^2 \times 5^2 \times 7$[/tex] and leave your answer in power form.

[Answered] What is the product? [tex](-3 s+2 t)(4 s-t)[/tex]

[Answered] Solve the logarithmic equation. [tex]8+2 \ln x=22[/tex] [tex]x=[/tex] (Simplify your answer. Type an exact answer, using [tex]e[/tex] as needed.)

[Answered] Given two dependent random samples with the following results: | Population 1 | 35 | 34 | 45 | 30 | 49 | 25 | 34 | |---|---|---|---|---|---|---|---| | Population 2 | 44 | 24 | 40 | 42 | 38 | 31 | 43 | Use this data to find the [tex]$90 \%$[/tex] confidence interval for the true difference between the population means. Assume that both populations are normal. Step 3 of 4: Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

[Answered] $r=\frac{x+y}{2}$ Make x the subject.