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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...
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A: Continuity
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A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=5
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Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4
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A: Given:- If a cup of coffee has temperature 95°C in a room where the temperature is 20 °C , then, acc...
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Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .
A: I am attaching image so that you understand each and every step.
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Q: Symmetry 5. Look back at the graphs of the curves y = r2,x = y°,y² = x², y = ,y = VI, r2 + y? = 25 a...
A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...
Q: 6. Among the Grade 11 students in a certain school, belong to the Science Club, 15% belong to the Mu...
A: We will find the solution in the following step.
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A: (a) limx→∞ f(x)=limx→∞ 6x+7x-9=limx→∞ x(6+7x)x(1-9x)=limx→∞ 6+7x1-9x; as x→∞, 1x→0= 6+01-0=6 ⇒ limx...
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A: Note: - Since you have posted a question with multiple sub-parts, we will solve first three sub-part...
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Q: iv. f(0) = Preview v. lim f(x) = Preview %3D vi. lim f(x) エ→7* Preview %3D
A: f(x) =7x3+8xx2-7x(iv) f(0) = ?f(x) = x7x2+8x(x-7)=7x2+8x-7f(0) =0+80-7=-87⇒ f(0)=-87(v) limx→7- f(x)...
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A: Topic:- calculus
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- A random sample of 25 tires gave the average life as 38000 km and S.D. as 5000 km. Can it be concluded that the sample is drawn from a population with a mean life of 40000 km?To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?Long-distance runners have contended that moderate exposure to ozone increases lungcapacity. To investigate this possibility, a researcher exposed 12 rats to ozone at the rateof 2 parts per million for a period of 30 days. The lung capacity of rats was determined atthe beginning of the study and again after the 30 days of ozone exposure. The lungcapacities (in mL) are given here:(a) If we can assume normality, is there sufficient evidence to support the conjecture thatozone exposure increases lung capacity? Use α = 0.01? b) Estimate the size of the increase in lung capacity after exposure to ozone. Use a 99%confidence interval.
- 1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.Find the linear correlation coefficient for stride length versus speed of an adult man inTable 12.8a. Round your result to the nearest hundredth.A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
- A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)calculate SN given by Simpson’s Rule for the value of N indicated.A sample of 130 is drawn from a population with a proportion equal to 0.67 **Round to four decimal places as needed**
- To seethe effect of a relatively small error in the estimate of the amountof carbon-14 in a sample being dated, consider this hypotheticalsituation: A bone fragment found in central Illinois in the year 2000 contains 17% of its original carbon-14 content. Estimate the year the animal died.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.A random sample of CO2 levels in a school has a sample mean of x¯=598.4 ppm and sample standard deviation of s=86.7 ppm. Use the Empirical Rule to determine the approximate percentage of CO2 levels that lie between 338.3 and 858.5 ppm.