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please solve the following sequence below and check if it is divergent or convergent, thanks!
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- With steps, without the use of Microsoft excel a) alpha larger than 5% b) alpha at 5%Is there a way to solve this w/o using L'Hospital's rule?The probability that the protective building is between 15- and 20-microns dense is 0.417, which is obtained below: P(15<X<20)==20−15/24−12=0.417 Question-what formula was it used?
- What happens to N(t)=100x e^(5t) as t → infinity? Based on your answer would you consider this a realistic model of a population?Can you find the amount of salt A in the tank at any time t?The Beer-Lambert law relates the absorbance A of a solution to the concentration C of a species in solution by A = MLC, where L is the path length and M is the molar absorption coefficient. Assume that C = 1.25 ± 0.03 mol/cm3, L = 1.2 ± 0.1 cm, and A = 1.30 ± 0.05.a) Estimate M and find the uncertainty in the estimate.b) Which would provide a greater reduction in the uncertainty in M: reducing the uncertainty in C to 0.01 mol/cm³, reducing the uncertainty in L to 0.05 cm, or reducing the uncertainty in A to 0.01?
- For c in R, calculate E[e^cX] where X is exponential distribution.2 Given the exponential distribution: f(x) = {1/θ e^(-x/θ) ; x > 0 0; ew]A CI is desired for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with ? = 2.2. (Round your answers to two decimal places.) (a) Compute a 95% CI for ? when n = 25 and x = 53.7. , watts(b) Compute a 95% CI for ? when n = 100 and x = 53.7. , watts(c) Compute a 99% CI for ? when n = 100 and x = 53.7. , watts(d) Compute an 82% CI for ? when n = 100 and x = 53.7. , watts(e) How large must n be if the width of the 99% interval for ? is to be 1.0? (Round your answer up to the nearest whole number.)n = You may need to use the appropriate table in the Appendix of Tables to answer this question.