10064) 5. An isosceles triangle is shown below with side lengths of 12 and a base length of 20. If a line segment AD is drawn from A to side BC such that D lies on BC and AD LBC, then find the length of AD in simplest radical form. B (a) 12 (b) 20 6. In each of the following graphs, find the lengths of the line segments shown. Write your answers in simple radical form if they are not integers. y y ہے 1536 12
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- Prove the conjecture made in the preceding exercise.The KLM Christmas tree Farm owns a plot of land with 5000 evergreen trees.Each year KLM allows retailers of Christmas trees to select and cut trees for sale to individualcustomers. KLM protects small trees (usually less than 4 feet tall) so that they will be availablefor sale in future years. Currently, 1500 trees are classified as protected trees, while theremaining 3500 are available for cutting. However, even though a tree is available for cuttingin a given year, it may not be selected for cutting until future years. Most trees not cut in agiven year live until the next year, but some diseased trees are lost every year. In viewing the KLM Christmas tree operation as a Markov process with yearly periods, we define thefollowing four states:In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.(a) If we wish to compute the probability thatxnumber of chips out of a production run of sizenaredowngraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that 5 chips out of a production run of 40 are downgraded. (c) Compute the probability that between 3 and 5 (inclusive)orbetween 2 and 8 (inclusive) aredowngraded. (d) Graph the probability mass function forxnumber of…
- In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.the local survey has reported that 38% of corona cases in 2019 werevresistant to at leat 1 of gthe 3 major antibioticsd used to treat corona.a doctor treated 10 cases of corona in 2019 find the prob that 1 or more out of the 10 were resistant to all the 3 antibiotics .24 Energy of 4p subshell is higher than 3d. Select one: True False
- In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 70% of the valves meet the specification, 20% are reground, and 10% are scrapped. Furthermore, assume that of those valves that are reground, 90% meet the specification, and 10% are scrapped. a) Find the probability that a valve is ground only once. b) Given that a valve is not reground, what is the probability that it is scrapped? c) Find the probability that a valve is scrapped. d) Given that a valve is scrapped, what is the probability that it was ground twice? e) Find the probability that the valve meets the specification (after either the first or second grind). f) Given that a valve meets the specification (after either the first or…In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 73% of the valves meet the specification, 21% are reground, and 6% are scrapped. Furthermore, assume that of those valves that are reground, 46% meet the specification, and 54% are scrapped. Given that a valve meets the specification, what is the probability that it was ground only once?In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…
- Before burning out, a light bulb gives X hours of light,where X is N(500, 400). If we have 3 bulbs, what is theprobability that they will give a total of at least 1,460 hoursof light?A study was conducted by researchers to determine if application of duct tape is more effective than cryotherapy (liquid nitrogen applied to the word for 10 seconds every 2 to 3 weeks) in the treatment of common warts. The researchers randomly divided 40 patients into two groups. The 20 patients group 1 had their warts treated treated by applying duct tape to the wart for 6.5 days and then removing the tape for 12 hours, at which point the cycke was repeated, for a maximum of 2 months. The 20 patients in group 2 had their warts treated by cryotherapy for a maximum of six treatments. Once the treatments were complete, it was determined that 17 patients in group 1 (duct tape) and 11 patients in group 2 (cryotherapy) had complete resolution of their warts. (Source: Archives of pediatrics and adolescent medicines, 156(10), 2002. conduct a hypothesis test to address the research question whether application of duct tape is more effective than cyrotherapy in the treatment of common warts.…Based on the Output 1, would you suspect the multicollinearityproblem in this model? Show all the necessary procedures.