Question Sales at an ice creamery are heavily reliant on the weather A sample of the number of ice creams sold per day and the temperature in degrees Celsius was gathered for 14 days. The temperature was used to predict ice cream sales. The results show that b150.3688 and Sb, 00191 a. At the 0 05 level of significance, is there evidence of a linear relationship between temperature and ice cream sales? b. Construct a 95% confidence interval estimate of the population slope, Bi. Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. COLOR a. Determine the hypotheses for the test Choose the correct answer below. OA Ho Bo=0 H7 Bo<0 OD. Ho: B, 0 H, B,> 0 O B. Ho B120 H-: , <0 O E. Ho Bo = 0 Hi Bo > 0 O C. Ho Bo=0 H1: Bo 70 O F. Ho B1 = 0 H, B,+ 0 Calculate the test statistic t=(Round to two decimal places as needed ) Determine the cntical value(s). The critical value(s) is(are) t= (Use a comma to separate answers as needed Round to two decimal places as needed.) Reach a decision. Ho There is evidence to conclude that there is a linear relationship between temperature and ice cream sales b. The 95% confidence interval is <B> (Round to three decimal places as needed.)

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative -frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. Relative Frequency 033 0.30 0.25 0.20 0.15 0.10 0.05 0.00 100 110 120 130 140 150 160 Systolic Blood Pressure (mun Hg Given that 700 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading between 140 and 149 inclusive? 560 56 OOOO 6 8 QUESTION 2 A nurse measured the blood pressure of each person who visited her clinic. Following is a relative -frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. Relative Frequency 0.35 0 30 0.25 0.20 0.13 0.10 0.05 0.00 100 110 120 130 140 150 160 Systolic Blood Pressure (mm Hg Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive? 30% 3.5% 35%. 0.359

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)

Suppose that a company is developing a new touch-screen cell phone. Historically, 70% of their new phones have resulted in high consumer demand, whereas 30% have resulted in low consumer demand. The company has the decision of choosing between two models with different features that require different amount of investment and have different sales potential. Estimated profit/loss are shown in the payoff table below. State of Nature High demand, ($) Low demand, ($) Model 1 300,000 -40,000 Model 2 275,000 -15000 Now suppose the firm conducts a market research study to obtain sample information and better understand the nature of consumer demand. The market research cost $10,000 Analysis of past market research studies, conducted prior to introducing similar products, has found that the survey response will be either high or low. There is a 69% chance that the survey will return a high survey response (results) and there is a 31% chance that the survey will result in lo-demand response (results). The relevant conditional probabilities are as follows: P (high consumer demand, high survey response = 0.913) P (low consumer demand, low survey response = 0.087) P (high consumer demand, high survey response = 0.226) P (low consumer demand, low survey response = 0.774) Calculate the expected value of sample information (EVSI). Develop a decision tree and analyze using QM for Windows. Determine the optimal solution.

2.31 Let R be the region bounded above by the graph of the function f(x) = ?? and below by the x-axis over the interval (0,2] . Find the centroid of the region. 2.32 Let R be the region bounded above by the graph of the function f(x) = 6 - 2² and below by the graph of the function g(x) = 3 - 2x. Find the centroid of the region. 2.33 Let R be the region bounded above by the graph of the function f(x) = 1-2 and below by r -axis. Find the centroid of the region.