A biologist has an 884-gram sample of a radioactive substance. Find the mass of the sample after five hours if it decreases according to a continuous exponential decay model, at a relative rate of 7% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth. grams
Q: The half-life of a certain substance is 17 years. How long will it take for a sample of this…
A: The half‐life of a certain substance is 17 years. To determine how long it will take for a sample of…
Q: Write the equation of an exponential function with an initial value of 7 and a decay factor of 0.27
A:
Q: The number of bacteria in a certain population is predicted to increase according to a continuous…
A:
Q: A biologist has a 252-gram sample of a radioactive substance. Find the mass of the sample after four…
A: Let the initial mass No=252 gmmass after t hours=Ntgiven rate , r=19% , per hour=0.19
Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…
A:
Q: If the population of a certain city was 100,000 in 1996 and 110,381 in 2006, and if the population…
A: Given that: Population of city = 100, 000 in 1996 and Population of city = 110, 381 in 2006. Also,…
Q: The count in a bateria culture was 800 after 15 minutes and 2000 after 30 minutes. Assuming the…
A: Let I be the initial size of culture, the exponential growth formula is given by
Q: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…
A: A continuous exponential growth model can be given as Pt=P0·ekt, where Pt denotes the value of…
Q: Use the exponential decay model, A =Anekt, to solve the following The half-life of a certain…
A: The exponential decay model is given by
Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Use…
A:
Q: The population of Adamsville grew from 10,000 to 14,000 in 7 years. Assuming uninhibited exponential…
A: Given population grew from 10,000 to 14,000 in 7 years and it follows exponential growth.we know…
Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…
A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…
Q: A quantity with an initial value of 5700 decays exponentially at a rate of 7.5% every 2 days. What…
A: Given data: The given rate is r=7.5%. The given time is t=2 days. The initial value is A=5700. The…
Q: The population of a town is 2,500 people, and is decreasing at a rate of 3.5% per year. Write an…
A: Exponential Decay function Y = a(1-r)^t
Q: A sample of bacteria initially has 1,500 cells/L. After 5 days, the sample contains 10,000 cells/L.…
A: Given that: Initial bacterial concentration = 1500 cells/LAfter 5 days, sample contains = 10000…
Q: Kathy bought a car for $21,000, and each year it depreciates at a rate of 12%. Write an exponential…
A:
Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…
A: we need find half life substance k=? and t=?
Q: sample of a radioactive isotope had an initial mass of 390 mg in the year 2007 and decays…
A:
Q: Use the exponential decay model, A = Agekt, to solve this exercise. The half-life of polonium-210 is…
A: Consider that exponential decay model of polonium -210 follows: A=A0ekt. Given half life is 140…
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A:
Q: A fish population starts at 8,000 and decreases by 6% per year. Write an exponential decay function,…
A:
Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…
A: Given, In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the…
Q: sample of a radioactive isotope had an initial mass of 490 mg in the year 1995 and decays…
A: Given: Initial mass of the isotopes in the year 1995 is 490 mg. In 1998, sample's mass…
Q: When analyzing wood found in an Egyptian tomb, scientists determined that the wood contained 35% of…
A:
Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year. To use a…
A: Given :- Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A:
Q: Find the exponential growth equation for a population that doubles in size every unit of time and…
A: Given: At time, t=0, No. of individuals=20.
Q: Suppose the population of a college is 9,000 students on Jan. 1, 2000, and 20,000students by Jan 1,…
A: Given data is . Population of students in college in jan. 1, 2000 A0=9000 Population of students in…
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A: topic - exponential function
Q: What amount must be invested at 9% compounded continuously, so that it will be worth $35,000 after 5…
A: The total amount (A) obtained after t years by investing an initial amount of P in a firm or account…
Q: The drug valium is eliminated from the bloodstream exponentially witha half-life of 36 hours.…
A:
Q: Radioactive C14 undergoes exponential decay with a half-life of 5730 years. What is the decay…
A: The decay constant (λ) of a radioactive nuclide is its probability of decay per unit time. The…
Q: A biologist has a 3512-gram sample of a radioactive substance. Find the mass of the sample after six…
A: Explained below
Q: A biologist has a 991-gram sample of a radioactive substance. Find the mass of the sample after six…
A: For the following continuous exponential decay,
Q: A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…
A:
Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life
A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is: r = 38.51%
Q: The population of Earth is approximately 6.8 billion people and is growing at an annual rate of…
A: Given , Present population P=6.8 billion, Rate R=1.133% Time t=30 year, Aim:- To find population…
Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…
A:
Q: An endangered species numbered 7,000 at the start of the year 2003 and at the start of 2014 numbered…
A:
Q: The population of a country was 109 million in 1984 and the continuous exponential growth rate was…
A:
Q: A biologist has 6827 gram sample of a radioactive substance. Find the mass of the sample after four…
A:
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…
Q: The population of a country was 81 million in 1992 and the continuous exponential growth rate was…
A:
Q: Use the exponential decay model, A = A0ekt, to solve. Round answers to one decimal place. The…
A: Given we have to use A = A0ekt The half life of thorium is 7340 years
Q: In March 1976 the world population reached 5.5 billion. At that time, a popular news magazine…
A: Let's find.
Q: The exponential growth models, A = 33.1e0.009t (Canada) and A = 28.2e0.034t (Uganda) describe the…
A: Population in Canada and Uganda in millions, t years after 2006 is A=33.1e0.009t & A=28.2e0.034t…
Q: A biologist has a 553-gram sample of a radioactive substance. Find the mass of the sample after five…
A:
Q: The number of bacteria in a certain population increases according to a continuous exponential…
A:
Q: The population of a country was 222 million in 1996 and the continuous exponential growth rate was…
A:
Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year. Give an exponential…
A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Old Faithful is a geyser located in Yellowstone National Park in Wyoming, USA. Millions of travelers come from afar to witness Old Faithful's eruptions each year. The data provided show the waiting time until the next eruption for 272272 Old Faithful eruptions in 1990. Suppose that prior to 1990, travelers to Yellowstone are told that Old Faithful is expected to erupt, on average, every 6969 minutes, and park scientists believe that this average is no longer true. Suppose that, based on historical data available over several decades, the scientists are comfortable assuming that all eruption waiting times have a known standard deviation of 17.24817.248 minutes. 54 74 62 85 55 88 85 51 85 54 84 78 47 83 52 62 84 52 79 51 47 78 69 74 83 55 76 78 79 73 77 66 80 74 52 48 80 59 90 80 58 84 58 73 83 64 53 82 59 75 90 54 80 54 83 71 64 77 81 59 84 48 82 60…Ali Baba's Car Wash Service Centre is open 6 days a week, but its busiest day is always on Sunday. From the previous data, Ali Baba estimates that dirty cars arrive at the rate of one every two minutes, One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the following: iii) Compute the average time that a car spends in the system.In May 2008, CNN reported that Sports Utility Vehicles (SUVs) are plunging toward the "endangered list". Due to soaring oil prices and environmental concerns, consumers are replacing gas-guzzling vehicles with fuel-efficientsmaller cars. As a result, there has been a big drop in the demand for new as well as used SUVs. A sales manager of a used car dealership for SUVs believes that it takes more than 90 days, on average, to sell an sUV. In order to test his claim, he samples 40 recently sold SUVs and find that it took an average of 95 days to sell an SUV. He believes that the population standard deviation is fairly stable at 20 days. Determine if the sales manager's claim is justifiable at 0.05
- Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day is always on Sunday. From the previous data, Ali Baba estimates that dirty cars arrive at the rate of one every two minutes. One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the following: a) Compute the average time that a car spends in the system.A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.The operator of a pumping station has observed that demand for waterduring early afternoon hours has an approximately exponential distribution with mean 1000cfs (cubic feet per second).a) Find the probability that the demand will exceed 700 cfs during the early afternoonon a randomly selected day.b) What water-pumping capacity should the station maintain during early afternoons sothat the probability that demand will be below the capacity on a randomly selectedday is 0.995?c) Of the three randomly selected afternoons, what is the probability that on at least twoafternoons the demand will exceed 700 cfs? 2. Let Y1 and Y2 be random variables with joint density functionf(y1, y2) = (6/7(y^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2,0, elsewherea) Find marginal density functions. Are Y1 and Y2 independent?b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1).c) Find P(0.6 < Y1 < 1|0 < Y2 < 1). 3.The joint density function of Y1 and Y2 is given byf(y1, y2) = (y1 + y2), 0 <…
- A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 8What probability level did you choose and why?What were your degrees of freedom?Is there a significant difference between the two testing conditions?Interpret your answer.If you have made an error, would it be a Type I or a Type II error? Explain youranswer.A researcher hypothesizes that electrical stimulation of the lateral habenula will resultin a decrease in food intake (in this case, chocolate chips) in rats. Rats undergostereotaxic surgery and an electrode is implanted in the right lateral habenula. Followinga ten day recovery period, rats (kept at 80 percent body weight) are tested for thenumber of chocolate chips consumed during a 10 minute period of time both with andwithout electrical stimulation. The testing conditions are counter balanced. Compute theappropriate t-test for the data provided below.Stimulation No Stimulation12 87 73 411 148 65 714 127 59 510 81. What is your computed answer?2. What would be the null hypothesis in this study?3. What would be the alternate hypothesis?4. What probability level did you choose and why?5. What were your degrees of freedom?6. Is there a significant difference between the two testing conditions?7. Interpret your answer.8. If you have made an error, would it be a Type I or a Type II…A Packages arrive at a warehouse that has a single reception point with a Poissondistribution mean of once every 12 minutes. It takes on the exponentially distributedaverage of 9-minutes to process each package.(a) What is the average wait time of a package in the queue?(b) On the average, how many packages are in the queue at any given time?(c) On the average, how many packages are in the system at any given time?(d) On the average, what is the wait time of packages in the system?(e) What percent of the time is the server idle?(f) What is the probability that there are exactly 7 packages in the system at any givenpoint in time>