• According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annual rate of about 1.5%. If this pattern were to continue, then every year, the population would be 1.015 times the population of the previous year. Thus, if P(t) is the world population (in billions) t years after the base year 2002. (a) What was the population in 2004? (b) What will the population be in 2010?

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  9 months ago

• 48000 fair dice are rolled independently. Let X count the number of sixes that appear. (a) What type of random variable is X? (b) Write the expression for the probability that between 7500 and 8500 sixes show. That is Pp7500 ď X ď 8500q. (c) The sum you wrote in part b) is ridiculous to evaluate. Instead, approximate the value by a normal distribution and evaluate in terms of the distribution Φpxq " PpNp0, 1q ď xq of a standard normal random variable. (d) Why do you think a normal distribution is a good choice for approximation

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  9 months ago

• If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume V of water remaining in the tank after t minutes as V=5000(1−t40)20≤t≤40. Find the rate at which water is draining from the tank after the following amount of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)

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  9 months ago

• In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if they would vote for a law in their state that would increase the gas tax up to 20 cents a gallon, with the new gas tax money going to improve roads and bridges and build more mass transportation in their state. Possible responses were vote for, vote against, and no opinion. Two hundred ninety five respondents said they would vote for the law, 672 said they would vote against the law, and 51 said they had no opinion.a. Do the responses for this question provide categorical or quantitative data?b. What was the sample size for this Gallup poll?c. What percentage of respondents would vote for a law increasing the gas tax?d. Do the results indicate general support for or against increasing the gas tax to improve roads and bridges and build more mass transportation?

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  9 months ago

• The half-life of uranium-238 is 4.5x10^9 years. The half-life of uranium-234 is 2.5x10^5 years. How many times greater is the half-life of uranium-238 that of uranium-234

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  9 months ago

• There are 15 balls in an urn. 7 of the balls are red, and 8 of the balls are blue. Drawing a ball with replacement means that you take a ball out, note its color, and then return it. Drawing withoutreplacement means that you take a ball out and do not put it back. (a) What is the probability that if you draw one ball, it will be blue?(b) If you draw two balls without replacement, what is the probability that you draw a red and then a blue?(c) If you draw two balls with replacement, what is the probability that you draw a red and then a blue?(d) If you draw three balls without replacement, what is the probability that you draw at least two red balls?(e) If you draw three balls with replacement, what is the probability that you draw at least two red balls?(f) We play a game where I draw a ball first without replacement, and then you draw one. I draw a blue ball, and then you draw a red ball. Are these events independent?

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  9 months ago

• You and your best friend Janine decide to play a game. You are in a land of make believe where you are a function, f(t), and she is a function, g(t). The two of you move together throughout this land with you (that is, f(t) ) controlling your East/West movement and Janine (that is, g(t) ) controlling your North/South movement. If your identity, f(t), is given by f(t)=(t2+10)323 and Janine's identity, g(t), is given by g(t)=5t then how many units of distance do the two of you cover between the Most Holy Point o' Beginnings, t=0, and The Buck Stops Here, t=20?

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  9 months ago

• You believe that the mean BMI for college students is less than 25. The population standard deviation of BMI is unknown. You select a sample of size 30 and compute the sample mean to be 23.9 with a sample standard deviation of 3. What are the appropriate hypotheses? A. Null Hypothesis: μ< 25 Alt Hypothesis: μ= 25 B. Null Hypothesis: μ=23.9 Alt Hypothesis: μ < 23.9 C. Null Hypothesis: μ=25 Alt Hypothesis: μ>25 D. Null Hypothesis:μ=25 Alt Hypothesis:μ < 25

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  9 months ago

• The solution to the given system of linear equations lies in which quadrant?Ex-3y = 61 x+y=2Quadrant IIIQuadrant !- 54-3 -212345XQuadrant III| Quadrant IV? 17​

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  9 months ago

• Factor the trinomial 8x^2-12x-8

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  9 months ago

• 3x +10 < 3 or 2x -5 > 5

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  9 months ago

• Super easy word problem please help with question :(

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  9 months ago

• Please help I gave extra points please it’s super simple to some of you I just don’t know how to do it :(

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  9 months ago

• A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height as the connection point between the rope and weight. The distance from the connection point to the ceiling is 40 ft. Suppose the worker stands directly next to the weight (i.e., a total rope length of 80 ft) and begins to walk away at a constant rate of 2 ft/s. How fast is the weight rising when the worker has walked: 10 feet? Answer = 30 feet? Answer =

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  9 months ago

• A municipality wanting to use integrated waste management methodologies for its citizens would do all of the following EXCEPT: A. pay for each individual's tipping fees at landfills with taxes B. offer curbside recycling to its residents C. attract businesses that utilize source reduction in their manufacturing processes D. offer mulch to its residents at no cost E. maintain a hazardous waste collection site for its residents

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  9 months ago

• A food snack manufacturer samples 15 bags of pretzels off the assembly line and weighed their contents. If the sample mean is 10.2 and the sample standard deviation is 0.25, find the 95% confidence interval of the true mean________.A. (10.06, 10.34)B. (10.07, 10.33)D. (10.14, 10.26)

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  9 months ago

• Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal. Since both ơ and sx are given, which should be used? O σ O sx In one to two complete sentences, explain why?

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  9 months ago

• Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 6 18 3 27 Female 13 20 12 45 Total 19 38 15 72 If one student is chosen at random, If one student is chosen at random,Find the probability that the student got a B: Find the probability that the student was female AND got a "C": Find the probability that the student was female OR got an "B": If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:

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  9 months ago

• What probability should be assigned to the outcome of heads when a biased coin is tossed, if heads is three times as likely to come up as tails? What probability should be assigned to the outcome of tails?

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  9 months ago

• An appliance dealer sells three different models of upright freezers having 14.5, 16.9, and 19.1 cubic feet of storage space. Let x = the amount of storage space purchased by the next customer to buy a freezer. Suppose that x has the following probability distribution.x p(x)14.5 .216.9 .519.1 .3(a) Calculate the mean and standard deviation of x.(b) If the price of the freezer depends on the size of the storage space, x, such that Price = 25x - 8.5, what is the mean value of the variable Price paid by the next customer?(c) What is the standard deviation of the price paid?

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  9 months ago