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. In October 2018, one person won a Mega Millions jackpot worth 1.54 billion dollars. How would you express that jackpot amo
1. In October 2018, one person won a Mega Millions jackpot worth 1.54 billion dollars. How would you express that jackpot amount in scientific notation?
1.54 × 1061.54 × 10915.4 × 10615.4 × 1092. In Major League Baseball, fans eat approximately 21 million hot dogs every season. There are a total of 2,430 games in each season. Approximately how many hot dogs are eaten at each game?
1,000 hot dogs
9,000 hot dogs
90,000 hot dogs
1 million hot dogs
The United States has two bodies of Congress: the Senate and the House of Representatives. There are 435 seats in the House of Representatives. On November 9, 2018, following elections, 226 seats belonged to members of the Democratic party and 198 seats belonged to members of the Republican party. Election results were still undecided for the other 11 seats.
Republicans were leading 7 of the undecided races and Democrats were leading 4. If the 7 leading Republicans and 4 leading Democrats won their races, what percent of the seats in House of Representatives would belong to Democrats and what percent would belong to Republicans? Round answers to the nearest percent.
Democrats would hold 46% of the seats and Republicans would hold 52% of the seats.
Democrats would hold 50% of the seats and Republicans would hold 50% of the seats.
Democrats would hold 52% of the seats and Republicans would hold 46% of the seats.
Democrats would hold 53% of the seats and Republicans would hold 47% of the seats.
4. A syllabus in a student’s mathematics course states that she can earn 450 points on homework, 100 points on attendance, and 800 points on exams. What percent of her final grade is determined by her attendance? Round to the nearest percent.
7%
10%
13%
74%
5. Smoking-related illness in the United States costs more than $300 billion each year. In 2017, the gross domestic product (GDP) of the United States was $19.39 trillion. Calculate the total economic impact of smoking (cost) as a percentage of the United States’ GDP. Round your answer to the nearest hundredth of a percent.
0.02%
0.15%
0.65%
1.55%
6. Two students went shopping and bought $150 worth of clothes. They had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.
About 5%
About 10%
About 14%
About 15%
7. George took his long-time crush on their first date. They went to dinner where he spent $84.50 and left an additional 20% tip. Later he paid for two movie tickets that cost $12.50 each and bought snacks at the movie that cost a total of $14.45. Which equation would calculate how much George spent on his date?
84.50 + (0.20 x 84.50) + (2 * 12.50) + 14.45
1.20 x 84.50 + 12.50 + 14.45
1.20 (84.50 + 12.50 + 14.45)
84.50 + (1.20 x 84.50) + 12.50 + 12.50 + 14.45
8. In 2018, a Quinnipiac University poll found that 65% of Florida voters support stricter gun laws. There are approximately 13 million registered voters in Florida. If the poll represents how all voters in Florida feel, which of the following is the best estimate of the number of voters who support stricter gun laws?
Between 130 thousand and 650 thousand voters
Between 1.3 million and 2.3 thousand voters
Between 4 million and 5 million voters
Between 8 million and 9 million voters
Use the following information to answer the next two questions.
9. A high school student is writing a report on which social media site, Facebook or Instagram, is preferred by Millennials (people born between 1980 and 1994) compared to Generation Z (people born 1995 or later). The results of her survey are below.
Facebook Instagram Total
Millennials 530 504 1034
Generation Z 129 905 1034
Total 659 1409 2068
Which of the following conclusions could be accurately drawn from these results?
Approximately 25% of Millennials surveyed prefer Facebook
Approximately 36% of Millennials surveyed prefer Instagram
Approximately 50% of Generation Z surveyed prefer Facebook
Approximately 90% of Generation Z surveyed prefer Instagram
10. The student made the calculation shown below. What question was she trying to answer?
504 ÷ 1409
What percentage of those who prefer Instagram are Millennials?
What percentage of those who prefer Facebook are Millennials?
What percentage of Millennials prefer Instagram?
What percentage of Millennials prefer Facebook?
11. A 2018 Chevrolet Suburban averages 15 miles per gallon of gas in the city. It drives 47% farther per gallon of gas on the highway. If gas costs $3.25 per gallon, how much does a Suburban cost to drive per mile on the highway? Round to the nearest cent
7 cents per mile on the highway
15 cents per mile on the highway
22 cents per mile on the highway
153 cents per mile on the highway
12. The following data table gives information about the change in smartphone sales of two leading companies from 2007 to 2017.
Company Smartphones sold in 2007 Smartphones sold in 2017 Smartphones sold in 2027
Apple 2.3 million 214.9 million ?
Samsung 435.5 million 321.3 million ?
The number of smartphones sold is changing for these companies every year. Suppose that over the next 10 years, from 2017 to 2027, their absolute rates of change of smartphone sales remains the same as the previous 10 years. Using the data table, determine which of the following statements would be true.
Samsung will sell more smartphones that Apple in 2027.
Samsung will sell over 400 million smartphones in 2027.
Apple will sell over 400 million smartphones in 2027.
Apple and Samsung will sell approximately the same number of smartphones in 2027.
Date 3/1/98 1/1/01 1/1/02 1/1/07 1/1/08 7/1/14 1/1/16 1/1/17 1/1/18
Minimum Wage $5.75 $6.25 $6.75 $7.50 $8.00 $9.00 $10.00 $10.50 $11.00
13. California’s minimum wage (in dollars per hour) has increased substantially over the last 20 years, as seen in the table below.
Which of these graphic displays should be used to show the rate of change, or trend, of these minimum wage rates over time?
a. A bar graphb. A line graphc. A pie chart
d. A table displaying the mean and median
15. The table below shows the yearly income of a random sample of family physicians across the US in 2018.
Doctor Income in 2018
Dr. Bonner$108,000
Dr. Dupree$210,000
Dr. Gilbreath$145,000
Dr. Griner$190,000
Dr. Hornbuckle$135,000
Dr. Houston$180,000
Dr. Kizer$187,000
Dr. Taurasi$162,000
Dr. Taylor$151,000
Dr. Thomas$235,000
Calculate the mean and median income in 2018 for these doctors.
Mean = $162,000, median = $171,000
Mean = $167,800, median = $162,000
Mean = $170,300, median = $171,000
Mean = $171,000, median = $180,000
Use the following information to answer the next two questions.
19. The cost of Carlos’s electric bill (E) is computed by using a monthly charge of $29.99 plus $0.11 per kilowatt hour (k), as follows:
E = 0.11k + 29.99
Solve this equation for k.
E0.11 – 29.99 = k
E0.11 + 29.99 = k
(E – 29.99) / 0.11 = k
(E + 29.99) / 0.11 = k
Use the following information to answer the next two questions.
22. Which of the following could be a model for the amount of money (A) Maddie’s saving account will contain after (w) weeks?
A = 300w
A = 300 + 0.03w
A = 300 + 1.03w
A = 300 * 1.03w
23. A 21-year-old in New York wants to figure out how much he will spend at a new club, Club C. He figures out that his cost can be calculated using the formula below. Which of the following could be an interpretation of this formula?
C = 20 + 12D
The cost he will pay to go to Club C is a $12 cover charge plus $20 per drink.
The cost he will pay to go to Club C is a $20 cover charge plus $12 per drink.
The cost he will pay to go to Club C is $20 after 12 AM.
The cost he and his friends will pay to go to Club C is a $32 per person.
25. The average price of 42-inch TVs has gone down dramatically over the past 20 years. The graph below shows the approximate average price of a 42-inch TV each year, beginning in 1998. The equation to model this is:
P = $1200 * .97 t
Where:
P = the average price of a 42-inch TV
t = number of years since 1998
Which of the following statements gives the best interpretation of this model?
The average price of a 42-inch TV has decreased by $97 every year
The average price of a 42-inch TV has decreased by $36 each year
The average price of a 42-inch TV has decreased by 3% every year
The average price of a 42-inch TV has decreased by 97% every year
26. Recall that the formula for earnings on a principal investment compounded annually is:
A = P * (1 + r)t
Where:
A = amount in the fund
P = principal (initial amount invested)
r = Annual Percentage Rate (APR) (as a decimal)
t = time in years, or term
If you invest $3,000 into each of the four options below, which option would yield the highest amount at the end of the term?
12 years, 3% APR
8 years, 5% APR
6 years, 7% APR
4 years, 10% APR
27. Nikolas invests $1,400 into a certificate of deposit that earns 1.8% compounded semiannually (twice a year). How much money will he have at the end of 5 years? Use the compound interest formula given below. Round final answer to the nearest cent.
A = P(1 + r/n)n*t
Where:
A = the amount in the account
P = the original principal
r = the annual interest rate
n = the number of compounding periods in a year
t = the number of years
$1,530.62
$1,531.23
$1,673.42
$3,314.31
Part 2: Open Ended Items
For Part 2: Write your work and answers on the test. The answer sheet is not needed for this section.
An Amazon Echo originally costs $99.99. It is on sale for 10% off. Sales tax of 7.5% is then added to the sale price. What is the cost of the Echo on sale including tax? Round your answer to the nearest penny.
1+7.510099.99*0.9=96.74The population of Minnesota is about 5.577 million people. Write Minnesota’s population in standard notation (as a number).
5.577*106=557,7000 peopleIn 2018, the Unites States had a population of 325.7 million people. Of these, 11.66 million lived in Ohio. What percent of all people in the United States lived in Ohio in 2018? Round your answer to the nearest tenth of a percent.
11.66325.7*100=3.6%As people are living longer and the world’s population is increasing, there are more and more people ages 65 or older. In 2000, approximately 419 million people were 65 or older. By 2017, that number increased to 656 million. On the two questions below, round to the nearest tenth when relevant.
a. What was the absolute change in the number of people 65 or older from 2000 to 2017?
Absolute Change=656-419=237 million b. What was the relative change in the number of people 65 or older from 2000 to 2017?
Relative Change=237419*100=56.6%
A student downloaded a new game on her phone that was recommended by her friend. She wanted to show her friend how good she was doing, so she wrote down all her scores on the game. Her first five scores on the game were 432, 543, 348, 788, and 823. On the two questions below, round to the nearest whole number when relevant.
a. What is her mean, or average, score on the game?
Mean=432+543+348+788+8235=586.8≈587b. What is her median score on the game?
Rearranging: 348, 432, 543, 788, 823Median=543Using the equation:
d = r * t
Where:
d = distance traveled
r = rate (speed, velocity)
t = time
If you have to fly from JFK airport in New York to LAX airport in Los Angeles, you will fly 2,475 miles. If the average amount of time for a plane to fly from JFK to LAX is 5 hours and 30 minutes, what is the average speed that a plane flies on this trip? Include the appropriate units.
Av.Speed=dt=2475miles5.5 hours=450 miles/hourYou need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents? (Hint: you cannot buy a fraction of a banana).
Whole Bananas=20.3=6
After trick-or-treating, a boy opened all of his M&Ms and put them into one big jar. He ate the same amount of M&Ms each day until they were gone. He made a graph, shown below, to represent how many M&Ms he had left over time. His teacher explained that his situation could be modeled by a linear equation where M represents the amount of M&Ms left and d represents the number of days since Halloween that had passed. Use the student’s graph to answer the following questions.
3848100172974000
a. Circle the horizontal intercept on the graph.
b. What information does the horizontal intercept tell you, in the context of this problem?
The Horizontal Intercept (days=50):There would no M&Ms left 50 days from Halloween
c. What is the slope of the line on the graph?
Slopem=Change in M&MsChange in d(Days)=0-6050-30=-6020=-3 M&Ms/dayd. What information does the slope tell you, in the context of this problem?
Slope tells rate at which M&M’s left are decreasing per day.
How a Group Leader Would Deal with an Uncomfortable Group Member
How a Group Leader Would Deal with an Uncomfortable Group Member
In almost all groups, there are enormous problems that do emerge directly affecting all or some of the group members. It is, therefore, essential to look for ways of identifying such problems and trying as much as possible to solve the problems in order to effectively manage the group. Most problems in groups are caused by group members and includes; monopoly of some group members, intolerant members, members who seduce other group members, resistant members, among others. This section explores ways in which a group leader would address the issue of a hostile member who wants to leave the group and work independently.
As the group leader, I would like to state that, in a group, decisions should be collectively made such that each member’s decision is respected by the other members. In case, a member shows opposition to the group, there are a number of steps that a group leader would follow in order to solve the problem.
In our group, we have had problems with one of our members over the last few months. For the purpose of confidentiality, I would not like to disclose his names, but indeed, he has decided to leave our group and start working alone. After a close examination, as a group leader, I have realized that the member may have personal problems which may be forcing him to move out of the group. This has come to my mind after exploring the various possibilities that may make him leave the group. However, I have noticed no single abnormality in the group and therefore concluded that his exit could possibly be as a result of personal problems, as I have indicated above.
In order to avoid his exit, the group members, who have full knowledge of the situation, have been at the forefront, trying to encourage him to remain in the group, as he has been an asset to the group. However, this has proven futile, because up to now, the hostile member still insists that he must move out of the group. Despite his resistance, I have personally looked at other possibilities of his hostility and realized that the members’ approach in solving the problem is quite faulty. In an effort to validate this, the members forcefully demanded that he should frankly outline the cause of his exit to members in the subsequent group meeting. Indeed, I felt offended, and decided to do the following in an aid to solve the problem.
Over the last one week, I have been analyzing the problem and indeed realized that there is a problem that is bothering the member and that is the reason why he needs to move out of the group. After a clear observation, I have noted a difference in terms of interactions in the group. In fact, I was told that the member had a relationship with one of the group member but due to personal differences, the relationship no longer subsists.
It was only yesterday that I humbly called for a meeting and fortunately, all group members turned up for the meeting. During the meeting, I raised the issue but never specified the actual problem. Certainly, this was a very crucial step toward solving the problem since all the members adequately participated in the discussion. In fact, a majority of the members highlighted the importance of group work including the hostile member. In order to back the importance of group work, the group members shared their personal experiences and indeed this could have had a crucial impact on the resistant member’s decision. In case the member changes his stand and promises to remain in the group, then I would have won the game. However, if he remains static, then I will have to follow other crucial steps in our subsequent meetings. Perhaps the member will choose the latter, as his decision, and in case this is so, I will have to select a small committee within the group, where the hostile member could share his feelings. However, I am at loss, in deciding the members who will be in the committee but, a prominent counselor in town told me that, I should select his close friends whom they can freely share ideas. Indeed, I think this is a very prudent idea having originated from a prominent and qualified counselor, who has possibly assisted many individuals with chronic problems than the one in our group.
Without any more delays, I have decided to select the committee members in collaboration with the secretary to the group who will really assist me in choosing the hostile member’s real friends. In order to achieve, I have personally called the secretary and she has informed me that she will send me an email indicating the friends to the said member. I am waiting for the message from the secretary and the moment this information reaches me, I will personally call the members for a sub meeting when I will inform them of their mandates. From the past cooperation that they have depicted, I am pretty sure that they will be willing to assist the member change his mind for his own benefits.
For a successful problem solving process, I do expect the members to give me with adequate feedback so that I can monitor and evaluate the progress. In line with this, I will request the members to be prudent enough while getting information from the member. This is after the failure that was depicted the other day after the members tried to directly confront him in the presence of all the other members. Indeed, I will let the selected committee understand that I am interested in good results and nothing less than that. However, I am not hard on this, because if the member insists that he leaves, I will have no other alternative other than letting him go. On the other hand, if he decides to remain in the group, I will have to evaluate his stay in the group. Perhaps, if he will portray any negative impacts in the group, I will allow him or his ex-partner leave us in peace. However, the ultimate decision will be communicated to all the other group members and I do promise to follow the same procedure in solving problems for the good of our group.
Challenging Issues
There are a number of challenging issues that affect the modern society including abortion, homosexuality and sexual abuse. Indeed, human life is extremely valuable, and even most cultures and religions do value life such that they are against all those activities that would endanger human life. Abortion is one of such activities that ruin human life. It is the act of intentionally stopping human pregnancy or any other efforts including surgically removing the foetus from the woman’s womb. Abortion assuredly is an outrage that may cause human race to extinct (Hauspie, 2004).
The issue of abortion and other issues affecting human lives have been discussed in our group for months now. The group is still discussing on other two issues including homosexuality and sexual abuse. The group members were especially very bitter when the issue of abortion was raised. I was, personally surprised to realize that all the group members do value human life and that no one member would advise his or her friend to do abortion. In fact, most members said that they were willing to sue those conducting such activities in courts of law. This is after a clear understanding that abortion has negative side effects on human life. “To the extremes, abortion may cause death due to excess bleeding,” one of the members said.
After a two hours’ engagement in the group discussion, I was very happy to get positive views from the members and I really congratulated them for portraying respect on human life.
Secondly, homosexuality has become extremely intense across the globe, and in particular, some cultures and religions have legalized it and, therefore, allow gay marriages. This issue is currently being discussed in our group. Similarly, the members have depicted a negative attitude towards homosexuality. I realized this after the members strongly opposed the issue of gay marriages that is rampant in almost all parts in the world.
As a group leader, I also oppose the presence of gay marriages which may cause homosexuality. Indeed, homosexuality has felt side effects in human lives including contraction of HIV and AIDS which may be caused as a result of promiscuity among homosexuals.
Thirdly, there is the issue of sexual abuse which takes the proper form of rape, which may even occur in the group. Some members may sexually abuse other group members. In our group, the members have highly opposed this practice and most of them believe that this is a form of evil. In fact, I happen to lead people who condone any form of wrongdoing. I suspect that the hatred that exists between two of our group members could have been as a result of attempted date rape and that is why one of the members wishes to withdraw from the group. However, I am not sure that this could be the cause but I am yet to investigate and if this is so, then I will take appropriate actions for the good of our group. Despite my suspicion, I think the group members may not involve themselves in such vices having informed them of the negative effects closely related to attempted rape.
However, I would not rule out the occurrence of such a vice. In case it happens in our group, I would strongly encourage outside relationships. In line with this, I would make the members know that genuine relationships require understanding between the parties involved. With such an understanding, sexual abuse may be significantly reduced if not at all eradicated.
In case where there is sexual abuse between two members, then I would not ignore the situation and therefore would talk to those involved and inform them on the side effects of sexual abuse. However, if the situation is chronic, then I would consider removing one of the members of the group since; with prolonged stay in the group, then the progress of the group would be significantly affected.
The ending process in a group may assist to minimize previous conflicts that have been rampant in the group. In fact, termination of a group provides an avenue for change and even growth where members can now start working as individuals and not as a group. In the ending process, the individual member gets an opportunity to practice new behaviors, which were absent in the group.
In order to end a group, I would discuss the issue with other members of the group and make them realize that the termination of such a group is not the end of life. In line with this, I would encourage members to apply the skills learnt in the group, in their future pursuits. In addition, I would make the members appreciate the importance of group work as opposed to individual work. In this case, I would encourage the group members to join other groups in the future so as to work as a team.
In case, a participant is referred to an ongoing service a trustworthy counselor would refer the participant to another therapist. In so doing, the counselor helps the participant to get new information from other therapists. This is in line with the old English adage that states that change is like rest. Alternatively, the counselor would refer the participant to another group.
In conclusion, it would be wise to suggest that group work do assist individuals in virtually all walks, in life. However, in order to ensure that it serves its purpose, I should encourage cooperation among members so that they move in the same direction towards their ultimate goal. In addition, I should ensure that the challenging issues are properly handled so as not to interfere with the progress of the group. Lastly, it is prudent to ensure that appropriate steps are followed when terminating a group.
References
Hauspie, L. A. (2004). Columbia Encyclopedia. Columbia: Columbia University Press.
How A Bill Becomes A Law
HOW A BILL BECOMES A LAW
Name
Course
Tutor
Date
How A Bill Becomes A Law
Situation: Legislative Laws
Nursing professional is undergoing legislative changes for the provision of efficient and quality care to the patients. The current changes indicate a bright future for health services but undermine the nursing profession. Nurses have fixed number of patient and may require an increase in the number of nurses per hospital or reduction depending on the demand. Nurses will have no rights in working in a single healthcare but will move to hospitals that have high demand and in some situation may lack jobs due to low demand. Legislative body dealing with healthcare argues that high number of nurses in a health institution that surpasses the number of the patient lead to poor health care services. The hospital experienced an increased number of poor patient outcomes due to the high number of nurses. Laws on fixed nurse-to-patient ratio tend to stretch thin the responsibilities of nurses leading in the provision of quality healthcare to the patients.
Nurse-patient ratio uses a formula that will ensure equity in the distribution of nurses in the hospitals. Legislative laws concentrate on the provision of quality healthcare to the patient instead of considering the consequences of the nurses in the field of profession. Law makers are enforcing the laws without seeking the opinion of the nurses and have a high likelihood of failing to comply.
Background: Studies related to Nurse-Patient Ratios
Studies involving minimum nurse-patient ratio indicate that nurses have different categories of management. Rich nurses in a hospital set-up have low risk failure in handling patients. Hospitals that manage minimum nurse staffing ratio have reduced mortality rates and hospital stay durations. Studies by Linda H. Aiken and colleagues show that nurses experience burnout levels due to shortage of nurses and job dissatisfaction. The major problem occurs in the growth of hospital and understaffing of nurses. The hospital management should consider increasing the number of nurses with the same ratio as the patient increases in the hospital. Job dissatisfaction cases reports of nurses are four times higher than other health workers in the same hospital setting.
Dissatisfaction of nurses is high in that most nurses plan to quit a job after one year of service. Limited number of nurses in the hospital setting is not a solution in solving the mortality rate in hospitals although records show that 8:1 ratio have more deaths than 4:1 ratio. The hospital management experiences a cost of forty to sixty-five thousand dollars in replacing a nurse hence finding it worth in improving the nursing working conditions in order to save lives and decrease hospital costs. California law court made a decision that all hospitals should maintain a number of nurse staffs to avoid burnout. Rotational duties are efficient in a reduction of burnout incidences.
The National Nurses United Foundation in California made campaigns on protection of nursing in the working environment in order to create job satisfaction. Other states like Iowa, Michigan, New York, and Michigan adopted the Hospital Patient Protection Act that took the mandate of ensuring sufficient a good formulation of nurse-patient ratio in hospitals. Nurses would also get protection of potential whistle-blowers on the campaign of nurse-patient ratio. Massachusetts States adopted “The Patient Safety Act” towards assignment of a number of patients per nurse. The Act also has the mandate of evaluating nurses in terms of services to the patients.
Assessment: Finances and Stakeholders
Hospital size is the determinant of estimated cost and saving. A large hospital in terms of services to the patients saves a higher added cost than a small hospital. Savings present in the hospital depend on the prevailing wages and staffing pattern. Wages of workers should not surpass the income of the hospital in order to avoid bankruptcy of the hospital. Varying the cost of the hospital ranges from 1.0 % to 1.7% and mainly depends on the nursing expenditure per hospital. Hospitals should have sufficient revenue for expansion and hiring of extra nurses. Reduction of expenses in the hospital ensures increased revenue and provision of quality services.
Recommendation:
Nursing organization vows to support the legislation towards implementation of nurse-to-patient ratio method in all the healthcare institutions. Nurses recommend legislation Act should consider the nursing welfare in order to reduce incidences of burnout and quitting of job. Nursing Welfare Organization recommends for job satisfaction through increase of staffing levels in the hospitals in order to avoid overburdening the nurses with pronounced duties. The facilities within the hospital environment should have qualified personnel to head them in order to have quality services.
Registered nurses recommend for high nurse-to-patient ratio in order to address issues of safety and quality care. Registered nurses have first-hand experience and can tell areas that require high care and experts. Many patients require safe and quality environment for the reduction of unnecessary risks. California State ensures that the nurse-to-patient ratio is success and have tremendous results. Supporting legislation endorsement will ensure nurse ratio favours both the nurses and patient have good working environment. All questions that nurses have towards the legislature get addressed in the California Law Courts for the purpose of quality services.