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1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is three more than seven times x and the width is four times x minus 2.a.) What are the dimensions of your mowing plot? (2 points)Length: ______________________________________Width: ______________________________________b.) What is the area of your plot (remember area = length x width)? (2 points)Area: _________________________________________c.) If x = 10 meters, how many square meters is your plot? (show steps)(2 points)Area: _________________________________________2.) Factor by grouping: (4 points)xy − 4y + 7x − 28
General
4 months ago
The ASQ (American Society for Quality) regularly conducts a salary survey of its membership, primarily quality management professionals. Based on the most recently published mean and standard deviation, a quality control specialist calculated thez-score associated with his own salary and found it was minus2.50. What is his salary?A. 2.5 standard deviations below the average salary.B. 2 and a half times less than the average salary.C. 2.5 standard deviations above the average salary.D. 2 and a half times more than the average salary.
General
4 months ago
Assume that there are 14 board members: 9 females, and 5 males including Mark. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment.1) Find the probability that both males and females are given a task.2) Find the probability that Mark and at least one female are given tasks.
General
4 months ago
Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is given byC(x)=2000+3x+0.01x^2 +0.0002x^3(a) find the marginal cost funtion(b) findC'(100) and explain its meaning. What does it predict?
General
4 months ago
Carmen needs 1,100 to purchase a computer she has saved 1/3 of the money so far this year she will save the remaining amount by the end of the year about how much will she have saved at the end of the year
General
4 months ago
Suppose the adult population of Micronesia is 100,000 people. Of these 100,000 people, 20,000 are not in the labor force. Of the remaining 80,000 people, 16,000 have given up searching for a job and are not actively seeking work; 4,000 are unemployed and actively seeking work; 14,000 work part time; and the remainder are fully employed.What is the unemployment rate in Micronesia?a. 5%b. 6.25%c. 8.5%d. 10%
General
4 months ago
Solve the radical equation. m - 3 = √ 19 - 3m. Which is an extraneous solution to the radical equation?
General
4 months ago
Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. One hundred and seventy-five workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places. (a) Approximate the probability that 150 or fewer workers find their jobs stressful. (b) Approximate the probability that more than 140 workers find their jobs stressful. (c) Approximate the probability that the number of workers who find their jobs stressful is between 146 and 150 inclusive.
General
4 months ago
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 9 flights, the correlation between the number of passengers and total fuel cost was 0.734.1. State the decision rule for 0.010 significance level: H0: rho ≤ 0; H1: rho > 0 (Round your answer to 3 decimal places.) Reject H0 if t >2. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic3. Can we conclude that the correlation in the population is greater than zero? Use the 0.010 significance level (Click to select)RejectDo not reject H0 . It is (Click to select)not reasonablereasonable to conclude that there is positive association in the population between the two variables.
General
4 months ago
A random sample of n = 4 scores is selected from a population with mean (mu) = 80 and population standard deviation (sigma) = 20. On average, how much difference would you expect between the sample mean and the population mean? (i.e., What is the standard error of a sampling distribution composed of means taken from samples of size 4?)
General
4 months ago
The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?
General
4 months ago
How do you even do these? Can someone help, literally clueless. I would really appreciate answers and an explanation. Thank you! :)
General
4 months ago
A student wondered if more than 10% of students enrolled in an introductory Chemistry class dropped before the midterm. He noticed that 2 out of 15 of his friends in the class dropped before the midterm. Based on his sample, he performed a hypothesis test. Is the hypothesis test a one-tailed or two-tailed test?Choose the correct answer below.A.It is a two-tailed test since the null hypothesis states that the parameter is not equal to the hypothesized valued.B.It is a two-tailed test since the alternative hypothesis states that the parameter is not equal to the hypothesized value.C.It is a one-tailed test since the alternative hypothesis states that the parameter is greater than the hypothesized value.D.It is a one-tailed test since the alternative hypothesis states that the parameter is not equal to the hypothesized value.E.It is a two-tailed test since the alternative hypothesis states that the parameter is greater than they hypothesized value.
General
4 months ago
If w'(t) is the rate of growth of a child in pounds per year, what does 8 w'(t)dt 4 represent? The change in the child's weight (in pounds) between the ages of 4 and 8. The child's weight at age 4. The change in the child's age (in years) between the ages of 4 and 8. The child's weight at age 8. The child's initial weight at birth.
General
4 months ago
two pounds of grapes cost $6 . complete the table showing the price of different amounts of grapes at this rate
General
4 months ago
Two families go skiing on a Saturday. One family purchases three adult lift tickets and four lift tickets for $188. Another family purchases four adult lift tickets and five youth lift tickets for $244. Let x represent the cost in dollars of one adult lift ticket and let y represent the cost in dollars of one youth lift ticket. Solve the linear system to find the cost of one adult and one youth lift ticket.
General
4 months ago
Find the length of the missing side to the nearest tenth of a unit. The legs of the triangles are a and b and the hypotenuse is ca=12ft b=? c=12.5ft
General
4 months ago
Find the length of the missing side to the nearest tenth of a unit. The legs of the triangles are a and b and the hypotenuse is ca=? b=12m c=15m
General
4 months ago
Here is a set of data. 2.4 1.6 3.2 0.3 1.5 A) calculate the mean B) each piece of data is increased by ten. calculate the new mean. C) Each NEW piece of data is doubled. Calculate the new mean.
General
4 months ago
Kelly works at an electronics store. She is required to sell at least 12 items each month. She makes a commission of $100 for each laptop and $80 for each smart phone. Kelly wants to make more than $1000 for the month. Let x represent the number of laptops sold and y represents the number of smart phones sold. Determine which system of inequalities represents the situation. x + y <12 and 100x + 80y ≤ 1000x + y ≥12 and 100x + 80y > 1000x + y >12 and 100x + 80y ≥ 1000x + y ≤12 and 100x + 80y < 1000
General
4 months ago
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