Enumerate the microstates of p3. Determine the MS and ML values for each microstate.

Give an example of variables that have correlation but no causation exists?  Explain why these variables have correlation.  Could there be a lurking variable that these variables are both tied to/or do you think this correlation was caused by p-hacking?  [2-3 sentence or a graph] You may NOT use the ice cream/crime example AND you may not copy information verbatim from websites.  You may look at  https://stats.stackexchange.com/questions/36/examples-for-teaching-correlation-does-not-mean-causation for examples but you need to (at a minimum) put what you find in your own words and explain what the true cause of the relationship is.  In the ice cream/crime example it was found that in a particular city that when ice cream consumption went up so did petty crime (stealing/larceny).  The true cause was that it was summer and it was hot (and kids didn't have school to keep them busy). How do we decide if the correlation coefficient is close enough to ±±1 to declare that there is…

Please don't provide handwritten solution ...

Example 3: How many one-gallon milk jugs would need to be emptied in order to fill up a shallow rectangular lake that is 4.00 km long, 1.88 km wide, and 226 cm deep? One gallon is 3760 cm³.

1. The floor of a rectangular building has an area of 120 square meter. The length of the floor / is 4m bigger than its width, w. Solve for I. Hint: Start with the equation of the area in terms of I. What kind of equation do you get? /= 48.11 X feet ! No, that's not the correct answer.

A group collected data in an experiment to learn to draw suitable trendline in a graph. They don't know the theoretical model, so they are trying to determine one through this experiment. They used Excel to display the data and to find good fit. They tried linear, exponential, and power trendlines. The result of each trial is shown below. The title of the plot contains the name of the trendline used to fit. What should be their analysis based on the result they have so far? Exponential trendline 20 Power trendline 18 y = 0.8374e047x R? = 0.9851 16 y = 0.8045x1.538. R2 = 0.981 15 14 12 10 10 ..... 4 ..... ....... 2 1 3 4 1 7 Linear trendline 20 y = 3.0209x - 4.6606 15 R? = 0.9293 10 ........ 2 4 6 8 The linear trendline is good fit The exponential trendline is good fit Any one of the three trendlines seems good candidate The power trendline is the best fit 2. 2.

Suppose you have a sample that has a known density of 2.1 g/mL. If you have a mass of 0.34 kg of this substance, what is the volume in units of liters? Note: In your answer, do not include units. Type the numerical answer only or your answer will be counted as being incorrect.

8.36 grams of a mystery substance of food with a molar mass of 149.36 g/mol is burned in a bomb calorimeter. The water in the bomb calorimeter absorbs 105,961 Joules from the burning of the substance. Calculate the heat of combustion of the mystery substance in kJ/mol. (Please input your answer as a negative number.) (DO NOT PUT UNITS IN YOUR ANSWER.) Assume that all of the heat lost by the substance is transferred to the water and no heat is lost to the surroundings.

An auditorium is 45 meters wide and 60 meters long. The COVID- 19 code requires 1.4 meter radius space for each person occupying the auditorium. What is the searing capacity of the auditorium? (Hint: find the 1.4 meter radius area and divide with the auditorium area available.)

The population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint: