Explain the distribution plan for Alexa Echo. The distribution plan should explain what distribution channels you plan to use, including both on-the-ground (brick and mortar) channels and online distribution channels. Be sure to outline all the different companies, people, and/or technologies that will be involved in the process of getting your product to your customer.

a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion.

5% of children under 18 years of age have asthma. In a random sample of 250 children under 18 years of age, 8% say they have asthma. Is there enough evidence to conclude that the proportion of children under 18 years of age is not 5%? Use an α = 0.05 level of significance.

State and prove a generalized version of pigeonhole principle and use it to prove the following statement: If 22 numbers are selected at random, at least 4 of them will have the same remainder when divided by 7.

a) State the null and alternative hypotheses, b) Verify that the requirements that allow use of the normal model to test the hypothesis are satisfied, c) Show work for calculating the test statistic, d) Compare the critical value with the test statistic, and e) State the conclusion.

The manufacturer of sprinkler systems designed for fire protection says that the mean activating temperature is 135oF. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133oF. The standard deviation is 3.3oF. Is there enough evidence to conclude that the mean activating temperature is less than 135oF? Use an α = 0.01level of significance.

1. Use the function to find the following values (or state that they do not exist): f(x) = 2 (x + 1)2 (x + 1)(x − 1)(x + 2)

(a) State the domain of f(x).

(b) Find any removable discontinuities (holes in the graph).

(c) Find any Vertical Asymptotes.

(d) Find any x-intercepts.

(e) Find any y-intercepts.

(f) Find the Horizontal Asymptote. Explain how you determined that this was an asymptote.

(g) Graph f(x). Hint: It may help to find f(−3) and f(2).

Use the model of natural rate of unemployment and the steady state condition for unemployment for this question. Suppose that the rate of job separation in an economy is 0.03 and the rate of job finding is 0.12, while the current unemployment rate is 0.10. How do you think unemployment rate will change in the upcoming periods (increase, decrease, no change or ambiguous) and why do you expect to see this pattern?

Use the definition of enthalpy, the first law, Model 2, and that entropy is a state function to show that for the reversible expansion of one more of an ideal gas: deltaS = C_P ln(T₂/T₁) – R ln(P₂/P₁) where C_P is not equal to f(T).

The use of long-term debt is a traditional part of the fiscal policy of state and local governments.

True or False

When a lease payment is made, an entry is made in the debt service (or appropriate governmental) fund to record an expenditure, and an entry is made in the governmental activities accounts to reduce Lease Obligations Payable.

True or False

The use of encumbrance accounting is required for debt service funds.

True or False

Debt service funds for term bonds would generally include sinking fund investments.

True or False

Governmental fund liabilities and expenditures for debt service on general long-term debt are generally recognized in the reporting period that debt payments are due.

True or False

Which of the following statements is true?

Multiple Choice

Debt margin is reported in the governmental activities column of the government-wide statements.

Debt limit represents the total amount of indebtedness of specified kinds that is allowed by law to be outstanding at any one time.

Overlapping debt is a calculation of the difference between the amount of debt limit calculated as prescribed by law and the net amount of outstanding indebtedness subject to limitation.

All of the given statements are true.