Living Together - Challenges and Opportunities - Free Essay Example

Sample details Pages: 2 Words: 509 Downloads: 2 Date added: 2019/10/10 Did you like this example? According to the discussion on pages 160-162 which of the following words best characterizes how often predators capture their prey frequently, some of the time, infrequently? Some of the time Does this surprise you and why? Don’t waste time! Our writers will create an original "Living Together Challenges and Opportunities" essay for you Create order NO For equilibrium in the ecosystem, the predator must not always capture its prey. On the other hand, the predator has to feed itself and must find a way of capturing its prey. a) What is size-selective predation? This a technique of predation used by the carnivores predators to exclude large food items by favoring the presence of suboptimal prey populations. b) Give the specific examples that the text records that show how the puma demonstrates this principle. Male and female pumas selected different distributions of prey and pumas exhibited prey selection at both the individual and population level. Three of 9 pumas exhibited selection when we compared individual prey use to prey availability within individual pumas’ home ranges. One puma selected endangered huemul (Hippocamelus bisulcus) and 2 selected sheep. Go outside and look around you at the animals or plants that you see as part of your life. Direct observation is required. (If you don’t see many plants or animals go where you can observe some.)   Choose three different creatures (One may be a pet; the other two should be â€Å"wild.†)   And describe the defenses each uses against its potential predators. Chameleon Defends itself by camouflaging Monarch Butterfly The butterfly sucks the juices from milkweed plant as it eats its leaves. These juices are stored in the caterpillar and are toxic to some of its predators, giving it chemical defense. Rabbits Rabbits hide in crevices large enough for them to fit in, that other predators may not fit in. List three different kinds of chemicals that plants use for defense. Poison ivy secretions serve as an irritant which discourages any contact with the plant. The oleo resin is non-volatile but affects the skin of the herbivorous severely. Butter cups in a pasture can so strongly inflame the mucous membranes of grazing cattle that the cattle will curtail their feeding on the good grasses that are all around. Juices of the milkweed plant as it eats its leaves. These juices are stored in the caterpillar and are toxic to some of its predators giving it a chemical defense. List 3 different kinds of refuges named in the text Temporal Refuge This kind of refuge involves the animal hiding, staying silent or changing of color until the predator passes away. Physical Refuge This is a defense mechanism that incorporates the use of speed and strength or the power of numbers to conquer the predator. Animals like buffaloes use the power of numbers to fight against the lions and cheetahs. They also possess a lot of strength and power within their horns which they use to defend themselves. Chemical Refuge Some species use the chemicals to dismay their predators. The monarch butterfly uses the oleo resin to kill its predators while the snake has a poisonous liquid it releases to kill its predator with a single bite.

Probability of Union of 3 or More Sets

When two events are mutually exclusive, the probability of their union can be calculated with the addition rule. We know that for rolling a die, rolling a number greater than four or a number less than three are mutually exclusive events, with nothing in common. So to find the probability of this event, we simply add the probability that we roll a number greater than four to the probability that we roll a number less than three. In symbols, we have the following, where the capital P  denotes â€Å"probability of†: P(greater than four or less than three) P(greater than four) P(less than three) 2/6 2/6 4/6. If the events are not mutually exclusive, then we do not simply add the probabilities of the events together, but we need to subtract the probability of the intersection of the events. Given the events A and B: P(A U B) P(A) P(B) - P(A ∠© B). Here we account for the possibility of double-counting those elements that are in both A and B, and that is why we subtract the probability of the intersection. The question that arises from this is, â€Å"Why stop with two sets? What is the probability of the union of more than two sets?† Formula for Union of 3 Sets We will extend the above ideas to the situation where we have three sets, which we will denote A, B, and C. We will not assume anything more than this, so there is the possibility that the sets have a non-empty intersection. The goal will be to calculate the probability of the union of these three sets, or P (A U B U C). The above discussion for two sets still holds. We can add together the probabilities of the individual sets A, B, and C, but in doing this we have double-counted some elements. The elements in the intersection of A and B have been double counted as before, but now there are other elements that have potentially been counted twice. The elements in the intersection of A and C and in the intersection of B and C have now also been counted twice. So the probabilities of these intersections must also be subtracted. But have we subtracted too much? There is something new to consider that we did not have to be concerned about when there were only two sets. Just as any two sets can have an intersection, all three sets can also have an intersection. In trying to make sure that we did not double count anything, we have not counted at all those elements that show up in all three sets. So the probability of the intersection of all three sets must be added back in. Here is the formula that is derived from the above discussion: P (A U B U C) P(A) P(B) P(C) - P(A ∠© B) - P(A ∠© C) - P(B ∠© C) P(A ∠© B ∠© C) Example Involving 2 Dice To see the formula for the probability of the union of three sets, suppose we are playing a board game that involves rolling two dice. Due to the rules of the game, we need to get at least one of the die to be a two, three or four to win. What is the probability of this? We note that we are trying to calculate the probability of the union of three events: rolling at least one two, rolling at least one three, rolling at least one four. So we can use the above formula with the following probabilities: The probability of rolling a two is 11/36. The numerator here comes from the fact that there are six outcomes in which the first die is a two, six in which the second die is a two, and one outcome where both dice are twos. This gives us 6 6 - 1 11.The probability of rolling a three is 11/36, for the same reason as above.The probability of rolling a four is 11/36, for the same reason as above.The probability of rolling a two and a three is 2/36. Here we can simply list the possibilities, the two could come first or it could come second.The probability of rolling a two and a four is 2/36, for the same reason that probability of a two and a three is 2/36.The probability of rolling a two, three and a four is 0 because we are only rolling two dice and there is no way to get three numbers with two dice. We now use the formula and see that the probability of getting at least a two, a three or a four is 11/36 11/36 11/36 – 2/36 – 2/36 – 2/36 0 27/36. Formula for Probability of Union of 4 Sets The reason why the formula for the probability of the union of four sets has its form is similar to the reasoning for the formula for three sets. As the number of sets increases, the number of pairs, triples and so on increase as well. With four sets there are six pairwise intersections that must be subtracted, four triple intersections to add back in, and now a quadruple intersection that needs to be subtracted. Given four sets A, B, C and D, the formula for the union of these sets is as follows: P (A U B U C U D) P(A) P(B) P(C) P(D) - P(A ∠© B) - P(A ∠© C) - P(A ∠© D)- P(B ∠© C) - P(B ∠© D) - P(C ∠© D) P(A ∠© B ∠© C) P(A ∠© B ∠© D) P(A ∠© C ∠© D) P(B ∠© C ∠© D) - P(A ∠© B ∠© C ∠© D). Overall Pattern We could write formulas (that would look even scarier than the one above) for the probability of the union of more than four sets, but from studying the above formulas we should notice some patterns. These patterns hold to calculate unions of more than four sets. The probability of the union of any number of sets can be found as follows: Add the probabilities of the individual events.Subtract the probabilities of the intersections of every pair of events.Add the probabilities of the intersection of every set of three events.Subtract the probabilities of the intersection of every set of four events.Continue this process until the last probability is the probability of the intersection of the total number of sets that we started with.

George Douglass s Psalms 34 17-20 It - 876 Words

In Psalms 34:17-20 it says â€Å"When the righteous cry for help, the Lord hears and delivers them out of all their troubles. The Lord is near to the brokenhearted and saves the crushed in spirit. Many are the afflictions of the righteous, but the Lord delivers him out of them all. He keeps all his bones; not one of them is broken.† I believe this is a great symbolic allegory of the darkness that slavery birthed into our world. Each of these were bonded together in hopeless but in each case and region had different difficulties that had to face. Each using their life story to be a beacon of hope to others that freedom was within reach When we look at the biographies of Douglass, Ball, and Turner we see a common theme that connected each of these individuals: hopelessness. Frederick Douglass explained his hopelessness when he said â€Å"It opened my eyes to the horrible pit, but to no ladder upon which to get out In moments of agony, I envied my fellow-slaves for their stupidity. I have often wished myself a beast. I preferred the condition of the meanest reptile to my own. Any thing, no matter what, to get rid of thinking! It was this everlasting thinking of my con-dition that tormented me. There was no getting rid of it (1)† Charles Ball defined is hopelessness when he stated â€Å"I slept but little this night, feeling a restlessness when no longer in chains; and pondering over the future lot of my life, which appeared fraught only with evil and misfortune.† Nat Turner got into such aShow MoreRelatedBiblical Models of Servant Leadership13223 Words   |  53 Pagesleadership†¦and shepherding is considered a training ground for those destined to lead.†[3] On the other hand, Moses’ humble beginning that resulted in a drastic change in his early status from a slave‘s house to the palace (Exodus 2:1-10; Acts 7:20-22) may have had a drastic effect upon his personality. He grew up to be the proud child of the Pharaoh (Exodus 2:10), yet in his heart burnt the Hebrew love (Exodus 2:11-12)! But considering the way and manner he went about, one can not help but notice

Character Analysis Lady Macbeth free essay sample

Set in 1603, Shakespeare’s play, Macbeth, follows the life of what started out to be a normal married couple. When the couple, Macbeth and Lady Macbeth, discover from a prophecy that Macbeth would one day rule the land of Scotland, the two did everything in power to make sure this would come true. The couple devised a plan to murder Duncan, the current king of Scotland; Macbeth carried out this plan. With this newfound immense amount of royal power, Macbeth and Lady Macbeth go through several challenges in their relationship. Throughout Shakespeare’s play, Macbeth, there are significant changes in the way the audience perceives Lady Macbeth when considering her power, brutality, and physical characteristics. Comparing the beginning to the end of the play, it is apparent that Lady Macbeth is very different when considering her power. In the beginning, it appears as if Lady Macbeth was the superior in her relationship with Macbeth. At this period of time, man being inferior to woman was found to be very unusual. In a sense, Lady Macbeth was the â€Å"man† of the relationship. While debating whether or not Macbeth should kill Duncan, Lady Macbeth says, â€Å"When you durst do it, then you were a man; and to be more than what you were, you would be so much more the man† (Shakespeare 43). This line expresses Lady Macbeth’s opinion that Macbeth will only be a true man if he follows through with the murder; until then, Lady Macbeth would question his manhood. By using this line, Lady Macbeth has total control over her husband and can basically get him to do whatever she may ask. On the other hand, Macbeth seemed to turn around and take steps toward being the â€Å"bigger man† in their relationship as the play unfolded. With his immense amount of power, Lady Macbeth had no choice but to go with his superiority. An example of Lady Macbeth’s weakness was when she was conversing with the doctor and said, â€Å"Out, damned spot, out I say! One. Two† (Shakespeare 163). This quote explains how Lady Macbeth was obsessive over washing her hands, in other words, she was trying to get rid of the guilt of Duncan’s Murder. This section of the play shows Lady Macbeth’s significant change of weakness. As a weak woman, she succumbs herself to Macbeth’s power. In sum, Lady Macbeth went from being a powerful wife to a meaningless woman within the play. Another change the audience sees in the play is Lady Macbeth’s brutality. At the beginning of the play, she was the mastermind of Macbeth’s violent endeavors (Duncan’s Murder). When the two were plotting Duncan’s murder, it was Lady Macbeth who conveyed Macbeth to follow through; he was about to back out of the plan, as he did not want to commit such crime. When Macbeth was pondering the idea of failure, Lady Macbeth was quick to respond, â€Å"We fail? But screw your courage to the sticking place and we’ll not fail† (Shakespeare 43). This quote shows that Lady Macbeth was the one with confidence in their situation at hand. Towards the end of the play, it was Macbeth who was the mastermind behind his devious plans. Macbeth develops a sense of anxiety over Banquo, as he was the only one who suspected Macbeth had anything to do with Duncan’s Murder. Macbeth makes plans to kill Banquo, â€Å"Our fears in Banquo stick deep, and in his royalty of nature reigns that which would be feared† (Shakespeare 85). Macbeth was making these plans with two murders that he hired; not lady Macbeth. With the guilt of Duncan’s murder, it is doubtful that Lady Macbeth would offer support to Macbeth’s plan, given the opportunity, but Macbeth had purposely left her out of his plans. Now that he was king, he no longer needed assistance from his â€Å"housewife†. This just goes to show that Lady Macbeth went from being a brutal organizer of murder to a wife that has no part of her Husband’s secret life. Throughout Macbeth there are several observable changes in the physical being of Lady Macbeth. Though she may appear the same when focusing on her physical appearance, there are several physical changes in her mental health. At the beginning of the play, Lady Macbeth seemed to be a typical put together woman. At the end of the play, she virtually became a psychiatric patient who was in desperate need of mental healthcare. A doctor was consulted, but even the doctor knew there was nothing that could be done to save Lady Macbeth. While the doctor observed Lady Macbeth in her sleep, Lady Macbeth exclaimed â€Å"Here’s the smell of the blood still. All the perfumes of Arabia will not sweeten this little hand†¦Wash your hands† (Shakespeare 163-5). The doctor responds to the gentlewoman, â€Å"This disease is beyond my practice†¦So, good night. My mind she has mated, and amazed my sight. I think but dare not speak† (Shakespeare 165). This line shows the astonishment the doctor faces while observing Lady Macbeth. Her illness had reached a level of severity that a doctor could not even fix. Therefore, Lady Macbeth experiences many changes in her physical health throughout Macbeth. Macbeth is a very dense read with a lot of information and different characters. However, the changes in Lady Macbeth were very significant. Though the story concluded with her tragic death, Macbeth put his wife through countless situations that no woman should have to live through. She went from being the brains behind a murder to observing her husband committing several ruthless crimes. She also went from being a strong healthy woman to a woman with severe mental health issues. Throughout Shakespeare’s play, Macbeth, there are significant changes in the way the audience perceives Lady Macbeth when considering her power, brutality, and physical characteristics. Works Cited Shakespeare, William. Macbeth. N. p. : Folger Shakespeare Library, 1992. Print.