(05.02 HC)A small population of red birds lived in a habitat that did not undergo changes for a long period of time. The birds were geographically isolated from other red birds. Predict the effects of natural selection on this population of birds.

The following Weibull plot came from a popcorn experiment, where the power of microwave is set at 120%. 1, Please explain x and y axes in terms of the scales they used, and show how to find the value of characteristic life of this Weibull distribution. (10 points) 2. Choose a physical model for this accelerated life test and write down its equation. (10 points) 3. Another popcorn experiment was conducted at the power level of 110%. The Weibull plot is shown below. Use the characteristic life values from both ALTs to estimate regression coefficients of the acceleration model. (10 points)   4. The use stress level is at 100% power. Predict the characteristic life at the use stress level. (10 points) 5. Given that the shape parameter of Weibull distribution is 2.8 and it is constant under different stress levels. Under the use stress level, predict the lifetime at which probability of failure is 0.1. (10 points)

As a tool in the parenting toolbox, “self-quieting”:

(04.03 MC)  The probability that Babe Ruth hits a home run on any given at-bat is 0.12, and each at-bat is independent. Part A: What is the probability that the next home run will be on his fifth at-bat? (5 points) Part B: What is the expected number of at-bats until the next home run? (5 points) (10 points)

Note: This question has Part A and Part B. Each part carries 5 points, for a total of 10 points.Instructions (Please read them carefully):Complete and submit Test 1. Ensure all questions are answered before submission.Go to “Module 5 Volcanism” and locate “Question 41 Part A – Test 1” in the “Complete these assignments” folder.Follow the instructions provided for Question 41 Part A – Test 1.Then, locate “Question 41 Part B – Test1” in the same folder and answer it.Please ensure that both answers are submitted within two hours of submitting the Test 1.

Refer to the following chemical reaction:    Pb(NO3)2 (aq) + Na3PO4 (aq)  

A beam has dimensions of b = 20 in., h = 10 in., and d = 7.5 in. and is reinforced with 5 No. 9 bars. The concrete strength is 5,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.242 in., does the reinforcement yield?

Write the sum using summation notation, assuming the suggested pattern continues. -8 – 3 + 2 + 7 + … + 67 (7 points)

Complete the following table with the appropriate data for each isotope. Note – if you are having issues copying this table to your work space below, you can record and upload a completed table in a copy of your work sent to Dr. Metz.  Assume isotopes have a neutral charge. Chemical Symbol Atomic Number Mass Number Number of Protons Number of Neutrons Number of Electrons   40Sc                   15     14           60 29    

Use trigonometric substitution to find the indefinite integral: