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- Which one of the following quantities has the dimensions of ML^2 /T^2 Select one: O a. mrv O b. mv O c. mv^2/r O d. mv^29.E. You want to paint a wall in your room measuring 14 feet x 9 feet with a thickness of 1 millimeter. If paint at Home Depot costs $20 each gallon, then what will be the cost of your project in units of dollars. Use Google if you need conversion factorsA jet airplane reaches 875. km/h on a certain flight. How long does it take to cover 246. m? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
- 3. Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli which causes a breakdown of red blood cells and intestinal hemorrhages in its victims. Sporadic outbreaks of E. coli have occurred in Colorado at a rate of 2.5 per 100,000 for a period of 2 years. Let us suppose that this rate has not changed. a. Can x, the number of cases of E. coli in a year, be treated as a binomial random variable? Why or why not? b. Can x, the number of cases of E. coli in a year, be treated as a Poisson random variable? Why or why not? c. Can the probability of x, the number of cases of E. coli in a year, be calculated using the Poisson approximation to the binomial? Why or why not? d. Calculate P(x-5) using all of the above methods, if applicable.20. V How many significant figures are in the following numbers? (a) 78.9 + 0.2 (b) 3.788 × 10 (c) 2.46 x 10-6 (d) 0.005 3How many significant digits are there in the number 4530.0. Answer: 5 x
- (c) Name the components labelled in Fig. Q1(c) 3. 0959 0960 Fig. Q1(c)4 y, i = 1 y, g. n= 1 x h. 4 i = 1 3. Let x = [2, 1, 4, 8] and y=[1, 3, 6, 2] Calculate the following : 4 b. П х i = 1 i 4 а. Пу i = 1´ i 2 d. П х i = 1 2 i e. log II x С. Пу:х i = 1´ iIf you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. meters
- State how many significant figures are proper in the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) (b) (18.7)2 (c) (1.601019)(3712)1. Solve the following: A. How much we can load in a container, when the container has a content of 30 m3 (30000 liters) and the product has a S.G of 1.118? B. You received 5340 containers; standard ratio of 20ft and 40ft containers. How much TEU did you receive?6. Convert the following measurements mg.um kg.m а. 68 ms? hr2 b. 49mg/cm³ to ng/mm³ 7. Using Dimensional Analysis, check which of the following equations is or are correct. а. рgh3 — та b. avt = vh?