Find the average rate of change for the function over the given interval by using the graph. +10+ -9 -8 -7 -6 -5 66. 67. 68. 0≤x≤1 70. 1≤x≤4 4≤x≤9 69. 0≤x≤4 1≤x≤9 Choices for 66-70: A) 3 AB) N/W 2 12 B) ¹ AC) 35 -4- -3- -2+ c) 4 3 AD) 2 D) 1 AE) 2 3 8 3 4 BC) 1 3 E)
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- If X1, X2, ... , Xk have the multinomial distribution of Definition 8, show that the mean of the marginal distribu-tion of Xi is nθi for i = 1, 2, ... , k.The supermarket owner buys newspapers for 20 cents each and sells them for 80 cents each. The demand for newspapers follows a uniform distribution over the interval [0,100]and the distribution is known to the owner. How many newspapers should the owner order?Find the interval [ μ−z σn√,μ+z σn√μ−z σn,μ+z σn ] within which 95 percent of the sample means would be expected to fall, assuming that each sample is from a normal population. (a) μ = 194, σ = 19, n = 37. (b) μ = 1,189, σ = 12, n = 12. (Round your answers to 2 decimal places.) (c) μ = 47, σ = 1, n = 26. (Round your answers to 3 decimal places.)
- Suppose the time (minutes) an Instructor spends grading a Math 10 quiz is uniformly distributed in the interval (8, 25). How long it takes the instructor to grade 65% of the quizzes?Find the average value of the function: fx) = mx + n at the interval [a, b]. At what point in the range [a, b] does the function get this mean value?Find the average value of the function over the given interval. f(x) = 7 on [10, 70]
- In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney. Suppose that an article describing the poll says that the margin of error for the statistic is 0.045. Use this information to find an interval estimate. A).274 to .364 B).319 to .364 C).274 to .319 D).319 to .374A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.If the average value of f(x) on an interval is a number c, what will be the average value of the function −f(x) on that interval?
- 3). Find the average value of the function on the given interval.Civil engineers collect data from an area in Canada on the amount of tons of salt used to keep highways in good condition during a snow storm.The amount of salt for n = 30 has(# 1 at image) What can be said with 95% confidence about the maximum error if (# 2 at image) is used as a point estimator of the true population mean of the amount of salt required for a snow storm?Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.