N(x) = Cax +k.
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4.1
Bob the TikTokeur targets university students: Initially, no student at the University of Ottawa follows Bob on TikTok. To change this, Bob is launching a marketing campaign. The campaign begins with a video strategically placed on the university's social media page. After 3 days, 10,000 students subscribed to Bob's TikTok, and it is expected that eventually, the entire student population (65,000 students) will follow Bob on TikTok. Let N(x) be the number of students following Bob on TikTok after x days since the beginning of the campaign, and suppose that the function
N(x) either of form
A. Sketch the graph of the N(x) function, including N(O), N(3) and the horizontal asymptote.
B. Model the function N(x) (find the equation).
C. Bob will keep the video until 50,000 students have subscribed.
How many days will Bob keep the video on the website? Therefore, calculate the value of x such that N(x) = 50,000. Submit the answer below.
Note: Your answer must be written in decimal form with
EXACTLY 2 decimal places of precision.
Step by step
Solved in 2 steps with 2 images
- Ed's Tires and Brakes has two locations, one on the northwest side of town and one on the southeast side of town. At both locations are performed routine tire repairs and rotations, as well as expensive brake repairs. This past week, 30% of the cars serviced at Ed's were serviced at the northwest location, while 70% of the cars were serviced at the southeast location. (No car was serviced at both locations.) Brake repairs were more typical at the northwest location than at the southeast location: 50% of the cars at the northwest location required brake repairs, while 25% of the cars at the southeast location required brake repairs. Let N denote the event that a randomly chosen car (taken to Ed's in the past week) was serviced at the northwest location and N denote the event that a randomly chosen car was serviced at the southeast location. Let B denote the event that a randomly chosen car required brake repairs and B denote the event that a randomly chosen car did not require brake…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 64 stocks traded on the NYSE that day showed that 24 went up.You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α=0.01α=0.01.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
- In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned with a company's strategy, culture, and ethics. For example, in 2017, Nordstrom, Amazon, and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com website). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research 9 8 7 8 9 7 a. Use a = 0.05 to test for a significant difference in perception among the three groups. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment 0000 Mean Squares, Error Calculate the value of the test…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 12 went up. You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of a = 0.005. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O…In the digital age of marketing, special care must be taken to ensure that programmatic ads appear on websites aligned with a company’s strategy, culture, and ethics. For example, in 2017, Nordstrom, Amazon, and Whole Foods each faced boycotts from social media users when automated ads for these companies showed up on the Breitbart website (ChiefMarketer.com website). It is important for marketing professionals to understand a company's values and culture. The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals specializing in marketing (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 6 10 6 5 10 7 4 9 6 5 9 5 6 10 6 4 9 6 a. Use a = 0.05 to test for a significant difference in perception among the three groups. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean…
- Part 1: The state of Maryland's arrest rate for marijuana possession in 2010 was the fourth highest in the nation. Public records for that year show that police arrested one out of every 250 Maryland residents for possession of marijuana. In addition, while Black people only comprised 30% of the State's population in 2010, 58% of those arrested for marijuana possession were Black. Use the following labels for events describing Maryland residents in the year 2010. M-AMP: Maryland resident was arrested for marijuana possession M-B: Maryland resident was a Black person a) What is the probability that a Maryland resident was arrested for marijuana possession in 2010? b) Use probability notation to express the cited percent values. 30% = P( 58% = P( c) Which of the values cited should be compared to determine whether race and arrests for marijuana possession in the state of Maryland in 2010 are independent?Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 24 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of a = 0.10. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to…
- A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. The probabilities are displayed in the tree diagram.What is the probability that a randomly selected customer purchases the basic or classic car wash if they vacuum their car?A) 0.13B) 0.48C) 0.52D) 0.80Three businesswomen are trying to convene in Cincinnati for a business meeting. The first women (Woman 1) is arriving on a flight from Atlanta, the second (Woman 2) is arriving on a flight from Dallas, and the third (Woman 3) is arriving on a flight from Chicago. Historical data suggests that the Atlanta flight is “on time” 90% of the time, the Dallas flight is “on time” 95% of the time, and the Chicago flight is “on time” 80% of the time. Furthermore, historical data suggests that the three flights are independent with respect to on time behavior. Define the sample space for this random experiment. Compute the probability for each of the outcomes in the sample space. Let W denote the number of business women that arrive on time. Construct the probability mass function of W Construct the cumulative distribution function of W Find the expected value of W Compute the standard deviation of W
