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Write the sum using summation notation, assuming the suggested pattern continues. 8 + 27 + 64 + 125 + … + n3 (7 points)

Eating exactly 50% carbs, 25% protein, and 25% fats is ideal and recommended for all people.  

(05.02 LC)  Given a population mean of 41.8 with a standard deviation of 5.2 and a sample size of 9, answer these questions: Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points) Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 2.6? Show your work. (5 points) (10 points)

Changes impacting the circulatory system that occur at the time of birth involve which one of the following?

Find an equation for the nth term of the arithmetic sequence. a19 = -92, a20 = 6 (7 points)

(06.07 MC)  A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds? (3 points)

Write down the conjugate acid of the following molecules      (i)  H2O      (ii) HCO3-    

Find the sum of the arithmetic sequence. 5, 7, 9, 11, …, 23 (7 points)

(05.01 MC) Mateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in the sample is 172 degrees. Identify the population and the sample. (4 points)

A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 600 centimeters tall. (8 points)