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Q. You're working for a tourism company that provides travelers with a unique "View from Above"hot air balloon tour. If you have a round hot air balloon that is shaped like a ball and is 50 feet indiameter, how much air does it contain? Use 3.14 for i.
General
4 months ago
A publisher reports that 37% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 350 found that 30% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
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4 months ago
Rachel pays $131.44 for a desk, including tax. The tax is 31 cents less than 1 16 the desk's price. What is the price for the desk before adding the tax?
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4 months ago
A pleasure boat sets out for a cruise on a river, sailing upstream 24 miles and then turning around and returning to port. The trip upstream requires 144 minutes and the trip downstream requires 40 minutes. Find the speed of the boat in still water and the speed of the current in miles per hour (mi/h). Round to the nearest whole number.
General
4 months ago
A recent nationwide study investigated the value of the prostate-specific antigen (PSA) blood test for the detection of prostate cancer among 100,000 men 50 years of age and older. Of the 686 men who tested positive on the PSA test, a total of 281 were ultimately diagnosed with prostate cancer, either by immediate needle biopsy or during 12 months of watchful waiting. An additional 45 men who tested negative on the PSA test were ultimately diagnosed with prostate cancer during 12 months of follow-up.1) Set up the 2X2 contingency table for the data. 2) What is the sensitivity of the PSA test? Interpret the result.3) What is the specificity of the PSA test? Interpret the result.4) What is the positive predictive value (PPV) of the PSA test? Interpret the result.5) What is the negative predictive value (NPV) of the PSA test? Interpret the result.6)A screening test is available to identify individuals with a genetic mutation that puts them at greater risk for stroke. The test is extremely expensive and is not covered by most insurance plans, so those choosing to have the test usually have to pay for it out-of-pocket. However, it has been determined that the screening test is very valuable because the annual incidence of stroke among those who have been screened is nearly half that of the general population.7) One major benefit of mammography screening for breast cancer is that the disease is often diagnosed in the presymptomatic phase of the disease, before it is detectable by any other means, and breast cancers diagnosed in such early stages respond better to treatment. Another benefit of screening is that women diagnosed with breast cancer by way of mammography have better survival rates than women diagnosed by other means.8) The prognosis for neuroblastoma, a tumor that occurs in young children, varies greatly by patient. Some tumors are slow-growing and may even heal spontaneously. Others tumors are fast-growing and aggressive. A urine screening test for neuroblastoma is currently available that detects metabolites produced by the tumor. It has been suggested that such screening is highly valuable PH20001 Essentials of Epidemiology 2 because the case-fatality rate of neuroblastoma among children diagnosed with the urine test is much lower than it is for those who were not screened.9) Suppose that a new screening test has recently been developed to aid in the early identification of individuals with rheumatoid arthritis. However, the value of the test has not yet been established. In an effort to test the effectiveness of the new test in predicting a future diagnosis of rheumatoid arthritis, investigators enroll a group of volunteer participants, record their test result, and follow them forward for the development of the condition. It is subsequently determined that the new screening test is highly effective in predicting a definitive diagnosis of rheumatoid arthritis because the incidence of the condition among those who screened positive was much higher than that of the general population.10) There are at least a dozen types of human papillomaviruses (HPV) that are considered high-risk and cause approximately 5% of all cancers world-wide. However, high-risk HPV infections are common and most occur without any symptoms and resolve on their own within 1-2 years. In 2003, cervical HPV screening tests became available and are now approved for use in combination with a Pap test among women over the age of 30. Such tests can detect infection of several high-risk HPV types before cell changes become evident. Some argue that HPV screening tests should be approved for universal use among women of all ages because the incidence of high-risk HPV infections has increased dramatically over the past decade.
General
4 months ago
Question OneFarmer Jones has 140 feet of fencing to construct a rectangular corral.If x represents the width of the corral, which function can be used to express the area A of thecorral as a function of x?AA(x) = 70.0BA(z) = 2(70 - 2)CA(x) = a(140 – 2)DA(z) = x(140 – 22)
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4 months ago
Teresa has to buy school supplies for her 2 children, and wants to estimate the total cost of the school supplies. She knows that: Each child needs a backpack, a binder, 6 spirals, and 4 pens. The most expensive backpack is $57.00 dollars. The least expensive backpack is $29.00 dollars. The binders cost $4.00 each. The spirals cost $1.95 for three. The pens cost $0.48 each. There is 10% sales tax on her total purchase. Estimate how much money the school supplies will cost. A. $212.00 B. $232.00 C. $58.00 D. $116.00
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4 months ago
What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 2744 cmcubed3?
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4 months ago
Evaluate the Riemann sum for f(x) = 3x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints.
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4 months ago
Ravi ordered some books online and spent a total of $89. Each book cost $5 and he paid a total of $4 for shipping. How many books did he buy?(a) Write an equation that could be used to answer the question above. First, choosethe appropriate form. Then, fill in the blanks with the numbers 89,5, and 4. Let brepresent the number of books.
General
4 months ago
Factor completely.15x^2y^2-3x^3y+75x^4
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4 months ago
The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number?
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4 months ago
Consider the function y = 9 - x2, where x ≥ 3. What is the inverse of the function? What is the domain of the inverse? Show all of your work for full credit.
General
4 months ago
What is the length of the radius of a circle with a center at the origin and a point on the circle at 8 + 15i?
General
4 months ago
The equation y = 8.1x models the relationship between the number of hours Alexander works, x, and the dollar amount he earns, y. Which is the graph of the equation y = 8.1x? Image for option 1 Image for option 2 Image for option 3
General
4 months ago
A news reporter wants to estimate the percentage of registered voters who will vote for a particular candidate in an upcoming election. Which statement describes a method that will help him accurately estimate this percentage? A.) He could contact every resident in the town, ask whether the resident will vote for the particular candidate, and then calculate the percentage of residents who say they will vote for the particular candidate. B.)He could ask employees at the newspaper which candidate each will vote for, and then calculate the percentage who will vote for the particular candidate. C.)He could take a random sample of registered voters, and then calculate the percentage of the sample who will vote for the particular candidate. D.)He could ask his readers to respond to a survey that asks which candidate the reader will vote for and then calculate the percentage of people who say that they will vote for the particular candidate.
General
4 months ago
The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.Which statement describes a method that will help the marketing department accurately estimate this percentage?A)Select the store’s first 20 customers every day for one week, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”B)Take a random sample of adults at the local park, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”C)Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.D)Take a random sample of the store’s adult customers, and ask what percentage of their friends belong to a gym. Calculate the mean of the responses.
General
4 months ago
a business analyst makes 20$ an hour for the first 42 hours he works during a week and 28$ an hour for each worked over 42 hours. which piecewise equation models his weekly pay y in dollars as it relates to the number of hours x that he has worked during the week
General
4 months ago
At noon, ship a is 60 km west of shipb. ship a is sailing south at 15 km/h and ship b is sailing north at 5 km/h. how fast is the distance between the ships changing at 4:00 pm?
General
4 months ago
A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area of the remaining portion of the circle in square feet?
General
4 months ago
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