Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (7, - 1), endpoint (6,8)
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- A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into the house, lays it on the floor, and then goes to watch T.V. Let W=W(t) be the volume of dirty water that has soaked into the carpet t minutes after the snowball was deposited on the floor. Explain in practical terms what the limiting value of W represents, and tell what has happened physically when this limiting value is reached.6 A valve manufacturer produces a butterfly valve composed of two semicircular plates on acommon spindle that is used to permit flow in one direction only (seen here:http://en.wikipedia.org/wiki/Butterfly_valve). The semicircular plates are supplied by a vendorwith specifications that the plates be 2.37 millimeters thick and have a tensile strength of fivepounds per millimeter. A random sample of 20 such plates is taken. Electronic calipers are usedto measure the thickness of each plate. A universal testing machine was used to test the tensilestrength. The sample data are found in homework 5.xlsx.a. Find point estimates of the thickness and tensile strength data. Compare with thespecifications.b. Construct a 95% confidence interval for mean thickness. Draw conclusions regarding thespecification relative to the confidence interval.c. Construct a 95% confidence interval for mean tensile strength. Draw conclusionsregarding the specification relative to the confidence interval.d. Construct…84) plz help exhibit 10.16 is added in the pic Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 12% while the LTPD acceptable by the assembly department is 35%. Assume the company is willing to accept a consumer's risk of 10 percent and a producer's risk of 5 percent. a. Find the sample size. Use Exhibit 10.16; Note: If the exact value of the computed LTPD/AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. Note: Round up your answer to the next whole number. b. How would you tell someone to do the test? Randomly sample LSI using the sample size from part a, blank the lot if more than blank defective.
- 2. A valve manufacturer produces a butterfly valve composed of twosemicircular plates on a common spindle that is used to permit flow inone direction only. The semicircular plates are supplied by a vendor withspecifications that the plates be 2.37 millimeters thick and have a tensilestrength of five pounds per millimeter. A random sample of 20 suchplates is taken. Electronic calipers are used to measure the thickness ofeach plate. A universal testing machine was used to test the tensilestrength. The sample data are found Below. a. Determine, with 95% confidence, if mean tensile strength is less than five pounds permillimeter. Use the critical value approach.b. Are more than half of plates thicker than 2.37? Use the p-value approach with 95%confidence. Thickness Strength 2.4066 4.9175 2.1328 4.8067 2.5937 5.1246 2.1933 4.7555 2.4579 4.7233 2.0665 4.3934 2.1994 4.4609 2.4575 4.7377 2.6724 4.3407 2.2738 4.9487 2.5392 4.4265 2.7956 4.3583 2.1228 4.5608…Armand Bender plans to visit six customers in Manhattan. Three are located in a building at 34th Street and 7th Avenue. The remaining customers are at 48th and 8th, 38th and 3rd, and 42nd and 5th. Streets are separated by 200 feet and avenues by 400 feet. He plans to park once and walk to all of the customers. Assume that he must return to his car after each visit to pick up different samples. At what location should he park in order to minimize the total distance traveled to the clients? (Hint: In designing your grid, be sure that you account for the fact that avenues are twice as far apart as streets.)Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…
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- How wellmaterials conduct heat matters when designing houses, forexample. Conductivity is measured in terms of watts of heatpower transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material.The National Institute of Standards and Technology (NIST)provides data on properties of materials. Here are 9 NISTmeasurements of the heat conductivity of a particular type offibrous-glass board: 0.0339 0.0337 0.0334 0.0334 0.03330.0333 0.0333 0.0332 0.0330 (a) We can consider this an SRS of all specimens of fibrousglass board of this type. Make a stemplot. Is there any sign ofmajor deviation from Normality? (b) Give a 95% confidence interval for the mean conductivity. (c) Is there significant evidence at the 5% level that themean conductivity of this type of fibrous-glass board is not0.0330?An experiment was conducted to determine the effect of Hexafluoroethane C2F6 flow rate on theuniformity of the etch on a silicon wafer used in integrated circuit manufacturing. Four flow rates (instandard cubic centimeter per minute) are used in the experiment and the resulting uniformity (inpercent) is shown here. 125 sccm 160 sccm 200 sccm 220 sccm 4.05 3.99 3.97 4.00 4.01 4.02 3.98 4.02 4.02 4.01 3.97 3.99 4.04 3.99 3.95 4.01 4.00 4.00 4.00 a. Identify the independent (factor) and dependent (response) variables in this study. What are thetreatments? What are the experimental units? How can this be modelled by a completelyrandomized design experiment? b. Is the assumption of homogeneity of variances among the 4 groups satisfied? Justify by doing an8-step procedure using Levene’s approach. Use a 0.05 level of significance. STATISTICA output orPHSTAT output is also required. Is the assumption of normality for each treatment groupsatisfied? Justify by doing…Insurance companies can lower their risks by A) using the law of large numbers to make the number of claims more predictable. B) diversifying across insurance products. C) granting large numbers of independent risk policies. D) all of the above