Sign Up Now
Get instant access to over 1 million+ study documents
OR
Already registered? click here to login
By creating your account, you agree to our terms of service, privacy policy and student honor code.
Solving Proportions
Wildlife conservations often tag members of a population in order to make estimates about things such as population size, mortality rates, mating habits, and migratory habits, and then recapture animals to see what percentage of the originally tagged groups shows up in the second sample. In this hypothetical, to estimate the size of the Keweenaw Peninsula bear population, conservationists tagged and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. From these numbers the conservationists may estimate the size of the bear population using proportions based on an assumption that the tagged animals represent the average member of the targeted population. Proportions allow people to assume that the ratios remain constant across scenarios.
Because proportions assume ratios are constant, they can be made equivalent to one another, allowing people to solve for a missing number if given three other numbers. Therefore, the ratio of 2 tagged bears to 100 captured bears for the sample would be the same as the ratio of 50 total tagged...
The ratio of originally tagged bears to the whole population is 50/x. The ratio of recaptured tagged bears to the sample size is 2/100. Using the concept of proportions, one can make the two ratios equivalent. In other words 2/100= 50/x. The one needs to solve for x. In this equation, 2 and x are the extremes and 50 and 100 are the means. The initial goal is to combine the extremes on one side of the equation and the means on the other side of the equation. The first step is to cross multiply, in order to get rid of the denominators. The equation that results from that cross-multiplication is 2x= 50*100 or 2x=5000. The next step is to isolate x by dividing each side by two x=5000/2. Solving for x, x=2500. Therefore, the conservationists may estimate that the entire bear population is 2500 bears.
The second math problem also uses the basic principle of proportions to equate two different numbers. The number sentence given is more complex than the ratio encountered for the bear population, but works upon the same principle.…
Where, those facilities that had an adversarial relationship between management / employees or other groups saw dramatic long-term effects. As productivity, higher costs and increased amounts of waste would occur at these facilities. This is significant, because it shows how various issues of conflict are like a cancer that will eat away at the most productive of organizations. In the case of the organization that we are examining, this
PART 1. An opinion poll asks a random sample of 100 college juniors how they view their job prospects once they graduate. Out of the 100 students 53 said �Excellent.� Find a 95% confidence interval to estimate the proportion of college juniors who think their job prospects are excellent. Assume large samples.The random sample is equivalent to 100 college juniorsFrom this sample, 53 of them considered their job prospects to
This is valid except otherwise provided for in the contract. Even if, provided for, the provision, further, need to pass the reasonability requirement. Further credence to asserting that the clause contained in the contract had, in effect upon signing, become binding to the Landlord and the Tenant, get support from Section 3(2) (bi) UTCCA of 19996. The section stipulates that one party to the contract cannot provide that not provided
This engaged the whole class, regardless of their previous comfort level with mathematics. Graphing was also helpful for students to visualize what things really 'meant' in terms of the numbers they were studying. Communication Solving word problems as a class in a hands-on fashion forced all students to communicate with one another about mathematics. This increased student comfort levels and generated a collective interest in the mathematical solving process. Students were given
Reduce the Proportion of Adults with ObesityI. IntroductionGlobally, obesity is rising to epidemic levels. If current trends persist, it has been estimated that the percentage of overweight or obese adults worldwide will rise from 33 percent in 2005 to 58 percent by 20301. Due to the rise in chronic diseases and disabilities brought about by obesity, which also causes several physicals, psychological, and social issues, the phenomenon of rising obesity
China's Intellectual Property Rights: Current Issues, Strategic Considerations And Problem Solving In this paper, the focus is primarily on the Intellectual Property Rights (IPR) that are given to individuals within the Republic of China. The paper starts off by defining IPR and the different ways that IPR is provided like copyright infringement. The paper them moves on to define IPR and its progression in China through the imperialistic years, the era