Seven fair coins are flipped. The outcomes are assumed to be independent. Let X be the number of heads.
What is the probability that X < 3?
What is the probability that X ≥ 4?
What is the probability that 3 ≤ X < 7
In: Statistics and Probability
How has the Middle East affected American politics, both domestic and foreign since 1968? Give at least seven (7) examples of influential Middle Eastern events to support your statement.
In: Psychology
First: Get a Date
Numerology has been used since ancient times to shed light on relationships, health, and global events. Each element in a birth date is believed to possess a special numerical significance. We are going to develop our own rudimentary numerology prediction program. The first thing to do is to ask the user to enter a birth date to process.
You will need to indicate to your user that they need to enter the month, day and year in that order separated by spaces and forward slashes, which look like this: /. An example would be 12 / 25 / 2112. The spaces must be present between the numeric and character input.
Second: Validate the Date
The important and time-consuming portion of this program is validating your input from the user. This means that you need to check to make sure the month is between 1 and 12, the day is appropriate for the month, and the year is between 1500 and 3000, inclusive.
By “the day is appropriate for the month and year”, this means that if a date of January 32nd is entered or a date of June 0th is entered, you should recognize and report that. This also means that you should check to see that if the year is a leap year, you should allow February 29th and if it's not a leap year, you should disallow February 29th .
Third: Crunch the Date
Then, you need to calculate a single digit from the birth date. For example, if your birth date is 3/19/1955 you add 3+1+9+1+9+5+5 to get 33. You would then break this apart and add 3+3 to get 6.
Once you have calculated the single-digit, PRINT it on the console (see the sample test runs).
Solution Suggestions
Goals
Points to Think About
In: Computer Science
1. When glucose and lactose are both present
a. the activator and repressor do not bing the DNA
b. the operon is not expressed
c. the operon is expressed
d. only the repressor binds the DNA
e. only the activator binds the DNA
f. the activator and repressor do not bind DNa
2. match the following
cAMP
lactose
In: Biology
Dillon Labs has asked its financial manager to measure the cost of each specific type of capital as well as the weighted average cost of capital. The weighted average cost is to be measured by using the following weights:
45%
long-term debt,
15%
preferred stock, and
40%
common stock equity (retained earnings, new common stock, or both). The firm's tax rate is
23%.
Debt The firm can sell for
$1015
a
12-year,
$1,000-par-value
bond paying annual interest at a
7.00%
coupon rate. A flotation cost of
44%
of the par value is required.
Preferred stock
8.00%
(annual dividend) preferred stock having a par value of
$100
can be sold for
$88
An additional fee of
$5
per share must be paid to the underwriters.
Common stock The firm's common stock is currently selling for
$60
per share. The stock has paid a dividend that has gradually increased for many years, rising from
$2.75
ten years ago to the
$4.70
dividend payment,
Upper D 0D0,
that the company just recently made. If the company wants to issue new new common stock, it will sell them
$2.00
below the current market price to attract investors, and the company will pay
$4.00
per share in flotation costs.
a. Calculate the after-tax cost of debt.
b. Calculate the cost of preferred stock.
c. Calculate the cost of common stock (both retained earnings and new common stock).
d. Calculate the WACC for Dillon Labs.
a. The after-tax cost of debt using the bond's yield to maturity (YTM) is _____ %.
(Round to two decimal places.)
The after-tax cost of debt using the approximation formula is ____%.
(Round to two decimal places.)
b. The cost of preferred stock is _____ %.
(Round to two decimal places.)
c. The cost of retained earnings is ____%.
(Round to two decimal places.)
The cost of new common stock is _____%.
(Round to two decimal places.)d.
Using the cost of retained earnings, the firm's WACC is ____%.
(Round to two decimal places.)
Using the cost of new common stock, the firm's WACC is
___ %.
(Round to two decimal places.)
In: Finance
MCQ
Which of the following constraint is not linear
x + 2y ≤ 8
5y≤ 11
3xy + 2y≤ 9
x + y ≤ 2
q2. When the value of the Correlation coefficient r =0, then it has
Perfect positive correlation
No correlation
Positive correlation
Perfect negative correlation
q3
A furniture manufacturer produces two types of display cabinets Type A and Type B Each month x of type A and y of type B are produced. Profit on type A is 300SR and profit on type B is 150SR. The following constraints control monthly production :(i) Not more than 50 display cabinets of type A and 40 display cabinets of type B can be made
(ii) To show a profit at least 60 display cabinets in all must be made.
(iii) The maximum number of display cabinets that can be produced is 80.
How many display cabinets of type A must be produced per month to maximize the profit:
80
50
30
40
q4
For the following Linear programming problemObjective to Maximize p= 50x + 20y
Subject to 20x + 40y ≤ 4000
100x + 50y ≤ 8000
x ≤ 60
x , y ≥ 0
Find which one is the optimal solution
( 60,40)
( 60,0 )
( 40,80 )
( 0, 100)
q5
The following table shows the number of Motor registrations in a certain territory and the sales of Motor tyres by a firm in that territory,
Motor Registrations(x)
600
630
720
750
800
Number of Tyres sold(y)
1250
1100
1300
1350
1500
then the regression equation to estimate the sale of tyres when the motor registration is known is given by
y = 1.4928x + 255.04
y = 2.4444x + 355.09
y = 3.4229x + 155.04
y = 5.5674x + 786.09
q6
Most systems use a queue discipline known as
Earliest due date
Critical ratio
Shortest processing time
FIFO
q7
If the utilization factor for any M/M/1 model is 0.85 , then the percent idle time must be
0.25
0.15
0.45
None of the above
q8
Which of the following equalities is correct
SST = SSE + SSR
SST = SSR – SSR
SST = SST – SSE
None of the above
In: Statistics and Probability
Let N1=40,X1=20, N2=40 AND X2=10.
At the 0.01 level of significance, is there evidence of a significant difference between the two population proportions.
Calculate the test statistic Zstat, based on the difference P1-P2.
A) The test statistic, Zstat is:
B) Calculate the P-value
C) Construct a 95% confidence interval estimate of the difference between the two population proportions.
D) Construct a 99% confidence interval estimate of the difference between the two population proportions.
In: Statistics and Probability
Required to develop a complete C Program (runs in Dev-C++ software) that helps to manage the records of projects in an Engineering Students Design Project competition organized by a university. The actual number of projects are unknown, but it is limited to a maximum number of 100.
Each project record contains information like Project ID, Project Title, Name of Team Members and Scores of evaluation. These project records are stored in a text file, sorted by the project id. A sample text file is given as follows,
| 101; Intelligent vacuum cleaner; Andrew, Bryan and Cecilia;
16;24;20;22; 102; Smart home system; Danesh and Elaine; 18;20;16;21; 104; Rubik's cube solver; Fatimah and Ganesh; 16;22;18;20; |
The criteria of the project evaluation are
(a) Originality and innovativeness: 20%
(b) Scientific approach and technical design: 30%
(c) Result and project outcome: 25%
(d) Presentation and demonstration: 25%
The top three highest scores will be awarded.
In addition, a Best Engineering Design award will be selected based
on criteria (b).
The software reads projects’ details from file, and it should be a
menu driven system having the following minimum options:
1. Add a New Project record (must keep the list ofProject Records sorted by the Project
ID), and update the data file,
2. Print the summary of Project Details, i.e., Project
ID, Title, Members’ Nameand Total Score, ranking from highest to lowest
total score of evaluation,
3. Print the details of the winner Projects, i.e., Project
ID, Title and Members’
Name,
4. Accept query of Project ID, andPrint the Score of evaluation by
criteria.
In: Computer Science
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofits, the mean one-time gift donation in the past year was $39, with a standard deviation of $10. Complete parts a and b below. a. Construct a 90% confidence interval estimate for the population one-time gift donation. nothingless than or equalsmuless than or equals nothing (Type integers or decimals rounded to two decimal places as needed.)
In: Statistics and Probability
2. There is a 50% chance that you will study for the exam and earn the highest grade in the class, and a 75% chance that you will earn the highest grade in the class.
Q The probability that you will study for the exam given that
you earn the highest grade in the class is:
3. Cast two dice (one red, and one green) and add the numbers facing up. Let
E: The green die shows 2 .
F: The sum is 5 .
P(E|F) =
P(F|E) =
In: Statistics and Probability