A random sample of students was surveyed and asked to list their grade level and whether or not they have a pet. Results are shown in the table below, but some values are missing. Fill in the missing values. 6th grade Pets Survey Pets No Pets Total 7th grade 21 8th grade 29 Total 78 44 53 148
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Q: Divide 5x5 + 3x4 + 2x3 − 2x + 5 by x−2 using Synthetic Division.
A: We have to divide 5x5 + 3x4 + 2x3 − 2x + 5 by x-2 using Synthetic Division.
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- Veneer is the material of plywood that has higher resistance (psi) depending on wax coat (W1, W2, W3) and temperature (T1, T2, T3). In an experiment, a large thin wood panel sheet will be coated with a wax coat. This will then be divided into three portions where each will be subjected to a drying temperature. After processing, several sheets will then be pasted together, and the resistance will be measured. Two manufacturing companies will participate in the experiment with two runs for each company.Veneer is the material of plywood that has higher resistance (psi) depending on wax coat (W1, W2, W3) and temperature (T1, T2, T3). In an experiment, a large thin wood panel sheet will be coated with a wax coat. This will then be divided into three portions where each will be subjected to a drying temperature. After processing, several sheets will then be pasted together, and the resistance will be measured. Two manufacturing companies will participate in the experiment with two runs for each company. How many sources of variation are there in the experiment?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.…
- Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to ten. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.04 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.4 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = Lq = L = Wq = hours W = hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = Lq = L = Wq = hours W = hours Each employee…Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston’s defective rate to be 10%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use…The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. D) find the rate of change of the radius with respect to time when the volume of the oil spill is 50,000m^3. E) Since only the oil that is in contact with seawater can mix with seawater, it is important to know how much of the surface area of the oil spill is in contact with seawater. Find the rate of change of the hemisphere's surface area with respect to time when the volume of the oil spill is 50,000 m3. Include units in your answer. You should assume that only the top…
- The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. A) find a formula for the volume of oil spilled in cubic meters, t days after the start of the oil spill. Include units in answer B) find the derivative of volume formula with respect to time. Include units in answer. C) when the volume of the oil spill is 50,000m^3, what is the radius of the hemisphere of oil? Include units in your answer. Give your answer accurate to 3 decimal places. D) find the rate of change of the radius with respect to time when the volume of…A researcher wants to explore the differences in health effects from two different types of sugar. She hypothesizes that artificial sweetener has lower long term health benefits than natural sugar. What is her null hypothesis? Fill in the blank. H0: μArtificalSweetener__________ μNaturalSugar Group of answer choices a) Less than b) Less than or equal to c) Greater than d) Greater than or equal toA 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…Plz answer for the critical value as wellThe manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a 95% confidence interval to judge whether the two indenters result in different measurements. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the data table. Construct a 95% confidence interval to judge whether the two indenters result in different measurements, where the differences are computed…