In: Advanced Math

(a) A bank’s safe has 5 dials each of which can be set to a number from 0 to 36 (so each dial has 37 possible settings).

i. How many different ways can the 5 dials be set?

ii. How many settings are there if no two dials may be set to the same number?

iii. How many possible settings are there if all the numbers must be even (count 0 as even), and duplicate numbers are permitted?

iv. Re-do the previous question, but this time with no duplicates allowed.

(b) Suppose the bank gets a new safe also with 5 dials, but each dial is numbered as follows: Dial 1 goes from 0 to 10 Dial 2 goes from 0 to 12 Dial 3 goes from 0 to 20 Dial 4 goes from 0 to 25 Dial 5 goes from 0 to 35

i. How many different ways can the 5 dials be set?

ii. How many settings are there if no two dials may be set to the same number?

iii. How many possible settings are there if all the numbers must be even (count 0 as even), and duplicate numbers are permitted?

iv. Re-do the previous question, but this time with no duplicates allowed.

For each data set below, find the following: a) The 5 Number
Summary; b) The IQR c) The “Outlier Fences”; d) List any outliers
e) Sketch the box plot
45,70,71,73,75,80,81,85,100

For each of the transactions described here, which of at least
two accounts on a bank’s balance sheet (Report of Condition) would
be affected by each transaction?
Sally Mayfield has just opened a time deposit in the amount of
$6,000, and these funds are immediately loaned to Robert Jones to
purchase a used car.
Arthur Blode deposits his payroll check for $1,000 in the bank,
and the bank invests the funds in a government security.
The bank sells a new...

Assume the required reserve ratio is 5%, and a bank’s excess
reserves are $50 million.
Which of the following accurately explain why checkable deposits
resulting from new loans based on excess reserves are not likely to
generate the maximum of $50 million×20=$1,000 million$50
million×20=$1,000 million? Check all that apply.
Cash leakage increases the value of the money multiplier.
Cash leakage reduces the value of the money multiplier.
Banks not using all their excess reserves to make loans
increases the value...

Which number set can you find:
a. the inverse of integers under multiplication?
b. the inverse of natural numbers under multiplication?

5. You are auditor of Purrengi LLC which has a set of tea houses
in the city center. You are required to perfom audit sampling
regarding to the things describes below: - You have to check all
the account balances and your sample size have to cover all the
items equally - You have to check the sequence of the sales
invocies so that, to be ensure about the completeness - You have to
check purchase balances, so every 5th...

Part (a)
using the data set below on the account balances of customers at a
bank’s four locations.
Using that data set and an α of 0.05, test the null hypothesis
that the mean account balances
are equal in the four towns using a one-way ANOVA in Excel.
using Excel file include the output as part of the
answer.
Part (b)
Do you reject the null hypothesis or not? Indicate on which part
of the Excel output you base...

In python this structure can be represented by a set of tuples,
where each tuple has two elements. The following two lines would
build the set given above and the print it. >>> L =
[(’dog’,’white’), (’cat’,’black’),(’mouse’,’black’)] >>> f
= set(L) >>> print(f) {(’cat’, ’black’), (’dog’, ’white’),
(’mouse’, ’black’)} In the example, first we store the tuples into
a list, and then we create a set with those tuples. There are
obviously countless other ways to initialize f and get...

For the following exercises, find the number of subsets in each given set.A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

Which of the following are reported as liabilities on a bank’s
balance sheet?(a) securities(b) nontransaction deposits(c) loans(d) reserves and cash items

Create an applet that will draw a set of ovals. The user can
specify the number of ovals. submit java code

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