Amy and Lester are the owners of The Hardware Store on main street in a large town. Without consulting Amy, Lester hires an accountant to prepare a formal Balance Sheet, Income Statement, and Statement of Cash Flows for The Hardware Store. Amy understands the importance of having a Balance Sheet and Income Statement, but she does not understand the importance of having a Statement of Cash Flows. Amy reasons that examining the Cash account in the General Ledger is sufficient to know where the cash came from and where it was spent. Presume you are the accountant that was hired by Lester. It is your task to explain to Amy the purpose of the Statement of Cash Flows along with its uses and limitations. Please make your initial post your response to Amy.

Statistics Analysis question! BUS310

In a one-way ANOVA test, we conclude there are differences across population means if the

a. between variation is small relative to the within variation

b.  between variation is large relative to the within variation

c.     between variation and within variation are equal

Suppose a researcher sets up a design in which there are five different means and a total of 32 measurements in the study. For alpha = .01, the critical table F value is ____.

a. 4.07

b. 3.75

c. 3.78

d, 4.91

e. 4.1

The strength of a linear relationship in simple linear regression change if the units of the data are converted, say from feet to inches.

a. True

b. False

The contingency table in a chi-square test of independence between two variables has four rows and six columns representing the number of categories for each variable. The number of degrees of freedom associated with the test statistic is __________.

a.15

b. 24

c. 10

d. 20

Which of the following statements is true regarding the chi-square goodness-of-fit test for normality:

a. The test does depend on which and how many categories we use for the histogram.

b. The test is not very effective unless the sample size is large, say, at least 80 or 100.

c. The test tends to be too sensitive if the sample size is really large.

d. None of the above responses are true

e. Responses a, b and c are correct

The weakness of scatterplots is that they:

a. do not actually quantify the relationships between variables

b. only help identify outliers

c.can be misleading about the types of relationships they indicate

d. do not help identify linear relationships

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch). The slope of the accountant’s model is ______.

a. unit variable cost

b. total variable cost

c. fixed cost

d. batch size

e. total cost

A chi-square goodness-of-fit test can be used as an alternative to z-test for population proportions if there are only two classifications.

a. true

b. false

Thank you!

An ?-pyramid is created with ? blocks at the base, ? − 1 blocks on the next level, until the peak which has 1 block.

Pyramids are colored according to the following rules: (1) Each block can be red, gold, or black, and (2) All 3-block units composed of one block on top of two others must either all be the same color or all be different colors. Answer the following:

a) How many ways are there to color a 7-pyramid?

b) What is the maximum number of black blocks in a 25-pyramid that has at least one red block and at least one gold block?

Using the bisection method:
    Make a program to use this method using the following three functions and use it to find the root of this function f (x) = x * x * x-8.
a) A function so that the user between xlower and xupper that meets the value of the function has a different sign and if he does not ask for new values.
b) A function to find the root and call it bisection and perform a maximum of iterations (maximum approximations of the root). All estimated root values have to be printed.
c) A function to obtain the values of the function.

Given the prime factors p and​ q, the encryption exponent​ e, and the ciphertext​ C, apply the RSA algorithm to find ​(a) the decryption exponent d and ​(b) the plaintext message M.

p	q	e	C
17	5	19	65

I have to get d and M

Abstract Algebra

Let n ≥ 2. Show that S_n is generated by each of the following sets.

(a) S₁ = {(1, 2), (1, 2, 3), (1, 2, 3, 4), ..., (1, 2, 3,..., n)}

(b) S₂ = {(1, 2, 3, ..., n-1), (1, 2, 3, ..., n)}

Consider the integers from 1 to 10. Give the set of pairs (a, b) that corresponds to relation a ≡ b mod 1.

Prove Theorem 29.9 (Cantor). There are countably many algebraic numbers.In this project, you will prove this theorem.

Given following ODE's

1) x' = x / 1+t, with x(0) = 1 find x(2)

2) x' = t+x with x(0) = 1, find x(2)

3) x' = t-x, with x(1) =2 find x(3)

4) x' = t-x/t+x, with x(2) = 1, find x(4)

a) Solve each of the ODE's using Euler's method with h = 0.5, and calculate the relative error

i) x' = x/1+t: Approximation ____________________ Relative error: ________________

ii) x'= t+x; Approximation ____________________ Relative error: ________________

iii) x' = t-x; Approximation ____________________ Relative error: ________________

iv) x' = t-x/t+x; Approximation ____________________ Relative error: ________________

would you please sow me the steps?

Thank you.

Let W denote the set of English words. For u, v ∈ W, declare u ∼ v provided that u, v have the same length and u, v have the same first letter and u, v have the same last letter.

a) Prove that ∼ is an equivalence relation.

b) List all elements of the equivalence class [a]

c) List all elements of [ox]

d) List all elements of [are]

e) List all elements of [five]. Can you find more than 15?

f) Bonus. Find all three letter words x such that [x] has 5 elements.

A, B and C be sets.

(a) Suppose that A ⊆ B and B ⊆ C. Does this mean that A ⊆ C? Prove your answer. Hint: to prove that A ⊆ C you must prove the implication, “for all x, if x ∈ A then x ∈ C.”

(b) Suppose that A ∈ B and B ∈ C. Does this mean that A ∈ C? Give an example to prove that this does NOT always happen (and explain why your example works). You should be able to give an example where |A| = |B| = |C| = 2.

[Jordan Measure] Could you prove the following ?

Prove that the sets Q ∩ [0, 1] and [0, 1] \ Q are not Jordan measurable.

Determine whether the equation is exact. If it is exact, FIND THE SOLUTION. If not write NOT EXACT.

A) (y/x + 12x) + (lnx - 3)y' = 0 x>0

Solve the given initial value problem.

B)  (12x² + y − 1) − (14y − x)y' = 0,    y(1) = 0

y(x) =

Determine at least approximately where the solution is valid. (Enter your answer as an inequality for which the solution is valid when true.)

The solution is valid as long as: _________

C) Find the value of b for which the given equation is exact.

(ye^9xy + x) + bxe^9xyy' = 0

b =

Solve it using that value of b: ______

.

A set X is said to be closed under multiplication if for every x1,x2 ∈ X we have x1x2 ∈ X. Let A be the union of all bounded subsets X ⊆ R that are closed under multiplication. Does inf(A) exist? If it does, find it.

Let a be an element of a finite group G. The order of a is the least power k such that a^k = e.

Find the orders of following elements in S₅

a. (1 2 3 )

b. (1 3 2 4)

c. (2 3) (1 4)

d. (1 2) (3 5 4)