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- X~N(43.8, 3.5). Find P(X < 37.0). (Round to 3 decimal places.)sketch the preceujse - def med tunctror -32+2 if x <3 far. for 2. of 3What type of relationship exists between the number of pages printed on a printer and the amount of ink used by that printer? Jation butAn airplane is travelling north as 400 miles/hour. Leaving from the same airport, another airplane is travelling east at 465 miles/hour. How fast is the distance between the airplanes increasing when the first airplane is 1200 miles from the airport. Hint: draw a right triangle and label the northern distance 'a', the eastern distance 'b' and the distance between the 2 planes is the hypothenuse 'c'. Prompts 400 465 1200 Need to find Submitted Answers Choose a match Choose a match Choose a match Choose a matchSOS pls help fast!Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it is a beautiful drive in summer months, in winter the road is closed because of severe weather conditions. Sustained gale-force winds (over 32 miles per hour and often over 90 miles per hour) occur on the average of once every 65 hours at a Trail Ridge Road weather station. (a) Letr = frequency with which gale-force winds occur in a given time interval. Explain why the Poisson probability distribution would be a good choice for the random variable r. O Frequency of gale-force winds is a common occurrence. It is reasonable to assume the events are dependent. O Frequency of gale-force winds is a common occurrence. It is reasonable to assume the events are independent. O Frequency of gale-force winds is a rare occurrence. It is reasonable to assume the events are dependent. O Frequency of gale-force winds is a rare occurrence. It is reasonable to assume the events are independent. (b) For an…Q3/ evaluate f, S (ye* -) dydxIt Andrew's batting average is exactly 0.600 going into the series, and that value is based on exactly 3600 career hits out of 6000 previous times at bat, what is the greatest his average could possibly be when he goes up to bat the tenth time of the series? The greatest possible average is ? (Round to 3 decimal places as needed)Identify the intervals for which thef unction is increasing/ decreasing.Use linear approximation to estimate the given number.Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy + 1492y² = 225The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle isincreasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitudeis 10 cm and the area is 100 cm2? Is this quantity increasing or decreasing? Write your answer in acomplete sentence and show all important information including a diagram.SEE MORE QUESTIONS