Q and A for the topic: General

Resistance

Suppose e1, . . . , en is a basis of a complex vector space V . Let en+1 = −e1 − · · · − en. Prove that any vector v of V can be expressed in a unique way as a linear combination v = a1e1 + · · · + anen + an+1en+1 with coefficients a1, . . . , an, an+1 ∈ C satisfying a1 + · · · + an + an+1 = 0

Crm systems are built around a database is accessed by employees and customers using a website the technology is often referred to as e-CRM. Explain the common applications that uber ,McDonald's and coca cola use. Which could be integrated in a CRM system and what CRM programs include

8. A jogger generates heat energy at a rate of *735.3* W. If all this energy is removed by sweating, how much water must evaporate from the jogger's skin each hour?

A positive real number is 8 more than another. If the sum of the squares of the two numbers is 80, find the numbers

A vehicle that depreciate over 5 years, is purchased at a cost of R170000.00 and will have a salvage value of R20000. Calculate its annual line depreciation expense.

A 1,000 m area is to be worked with an Agria tiller. The working width of the machine is 1 m, the working speed should be 1 km/h. How long does the work process take? (excluding turning times at the edge of the field)

# of successes = 155, # of observations = 405, confidence interval level = .95, what is the confidence interval?

A television cost $7,000. It was estimated to have a useful life of 5 years and an estimated recovery value of $1,000. What will be the book value at the end of the fifth year? If the television is not sold at the end of the fifth year, what will be the depreciation at the end of the sixth year?

Given: Δ ABC a=9 cm b=12 cm c=15 cm Determine the type of triangle according to its angles.

The diagonals of a trapezoid are 20 cm and 15 cm, and its height is 12 cm. Find its face.

2. Steel is a construction material widely used for its durability under environmental conditions and its structural rigidity. This material has a main composition of iron, carbon (in variable proportions) and other metals (eg, Mn, Co, Cr, Ni among others) in different proportions. The typical analysis method for the determination of manganese consists of taking a sample of 1,0000 g of steel, oxidizing it through acid digestion with HMnO4 (permanganic acid) and subsequently diluting it in a 500 mL flask up to the volume mark, in order to measure its absorbance at a wavelength of 540 nm. In a routine analysis, three calibration curves were prepared using three different reference materials, and the following was observed: a) If the calibration curve is constructed from KMnO4 standard solutions, it turns out to be a straight line that passes through the origin. b) If the calibration curve is prepared from a steel standard sample containing various amounts of Cr, V, Mo and Mn, a straight line also results, but it does not pass through the origin. In reference to the previous information, investigate and answer the following: i) What is the most probable cause or origin why there is a significant difference between the intercept calculated for both methods? ii) Do you consider that there will be a significant difference between the analytical sensitivity, selectivity or detection and quantification limits for both cases? iii) What calibration method could be used to correct these differences, if present?

An intensive training course is given to two groups of workers. In group "A" there are 25 failed out of 180 workers who attend the course while in group "B" there are only 21 out of 170 workers. Can we conclude that group "B" takes better advantage of the instruction? Because? Use a 3% significance level.

2- Using the Pearson coefficient correlation formula on top of page 85 of the book which you can also find in "Files", please calculate the coefficient correlation using the following variables: PLEASE SHOW CALCULATION; no credit for answer without calculation. Exercise minutes GPA 25 3.6 30 4.0 20 3.8 60 3.0 45 3.7 90 3.9

We wish to verify at 20% significance the hypothesis that the true average gasoline consumption in a certain type of engine is 14 gallons per minute, with the alternative that it is not 14 gallons. If the tests carried out on a random sample of 10 engines have shown average consumption of 17 gallons per minute with a standard deviation of 4 gallons, can the hypothesis be ruled out? Because?

Reijo has invested €8,000 in an investment fund with an average return of 6% per year. Reijo sells the fund shares after 6 years, and a 30% tax is normally paid on the capital gain. How many percent is the real return on Reijo's investment when the consumer price index has risen from 104.1 to 116.6 at the same time?

Calculate the work required so that a block of mass 5 kg initially at rest and placed on a horizontal frictionless surface, tied by a rope 20 cm long fixed at the other end, begins to rotate until it reaches a speed angular of 2 rps. Do you need to add more work to maintain this speed? Justify your answer by applying the principle of conservation of energy.

A random selection is made from a collection comprising all integers between 10 and 40 inclusive. Determine the probabilities for the following scenarios: a) 𝑃(𝐸𝑣𝑒𝑛 | 𝐺𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 30) b) 𝑃(𝐺𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 30 | 𝐸𝑣𝑒𝑛) c) 𝑃(𝑃𝑟𝑖𝑚𝑒 | 𝐵𝑒𝑡𝑤𝑒𝑒𝑛 20 𝑎𝑛𝑑 30 )

Factor completely N^2-5n+4

It is intended to create a savings of L 100,000.00 in 2 years with semiannual deposits that earn 15% compounded semiannually. Point out the total in the background in the second half. to. The semiannual contribution is L 22,356.75 and the total in the fund in the second semester is L 46,390.26 b. The semiannual contribution is L 22,336.35 and the total in the fund in the second semester is L 46,090.06 c. The semiannual contribution is L 22,355.55 and the total in the fund in the second semester is L 46,999.96