Simplify 44-23{“version”:”1.1″,”math”:”44-23″} by rationalizing the denominator. Show your steps.

    A metal rod A and a metal sphere B, on insulating stands, touch each other as shown. They are originally neutral. First, a positively charged rod is brought near (but not touching) the far end of A. Then, while the charged rod is still close, A and B are separated. Finally, the charged rod is then withdrawn. At the end, the charge on the rod and sphere are _______________. It is NOT necessary to show work or reasoning for this problem. 

Simplify: 1241z{“version”:”1.1″,”math”:”1241z”} Show your steps.

A test consists of 10 true/false questions. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

The table shows the distribution of family size in a certain U.S. city.   Family Size Probability 2 0.427 3 0.230 4 0.194 5 0.093 6 0.039 7+ 0.017   A family is selected at random from the city. Find the probability that the size of the family is less than 5. Round to three decimal places, if needed.

Find the number of subsets of the set.    {4, 6, 8}

Evaluate the factorial.  

How many ways can a president, vice-president and secretary be chosen from a club with 12 members?

For the given stock investment, find the total dividend amount. Number of Shares Purchase Price Per Share Dividend Per Share Sale Price Per Share 120 $22 $3 $40

Make sure to submit pictures of your work for problems 2-21 in the appropriate assignment link in Canvas within the next 10 minutes.   Respond to the following: “I understand that I must submit pictures of problems 2-21 in Canvas within the next 10 minutes.”   I have enjoyed working with you this semester! Best of luck on all of your exams and in your future!