Module 08 Exercise Each problem is worth 5 points for a total of 50 points. Please enter your answers and calculations on the third page using the Equation Editor. 1. Determine whether (-3,1) is a solution of the following system of equations: y=-13x 3y=-5x-12 2. Solve using the substitution method: r=-3s r+4s=10 3.
1.328 b. 2.539 c. 1.325 d. 2.528 ANSWER: a -go to the t-dtistrubution and use α=0.20 or confidence of 80% and use dof=19 3. Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (upper tail), a sample size of 18 at a .05 level of significance t = a. 2.12 b.
The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05. Although the initial balance is $500, a1 = $525 because the first term of the sequence is at the end of the first year, so it must include the interest on the $500. The ending balance can now be found An = a1(rn-1) A10 = 525(1.05)9 A10 = 525(1.55132822) A10 = 814.447316 814.447316 can be rounded to 814.45, thus showing that the ending balance after 10 years is $814.45. The formula to solve this problem was found on page 229 in in Mathematics in Our World (Bluman,
Add Supply 2 to left of Supply 1. Add Supply 2 to right of Supply 1. Points earned on this question: 0 Question 2 (Worth 5 points) (01.04 MC) Graph shows values along the horizontal axis and vertical axis. Coordinates are plotted to indicate two upward-sloping diagonal lines and two downward-sloping diagonal lines. Line 1 is a downward sloping line with point S at 300, 300 and Point U at 200, 400.
Quiz 2 1- When two events A and B are independent the intersection of the events can be found by multiplying the probabilities of the individual events. (5 pts) True 2- Based on a 15 observations shown below, determine the Q25%, median, Q75% and the mean. Based on your analyses, which direction the data is skewed (i.e. right or left or neither)? (5 pts) 25, 18, 32, 19, 42, 14, 36, 48, 30, 25, 18, 44, 51, 28, 36, 27, 39, 16 14, 16, 18, 18, 19, 25, 25, 27, 28, 30, 32, 36, 36, 39, 42, 44, 48, 51=548 Median = 29 28+30=58/2=29 Mean = 30.44 548/18=30.44 Q25= 20.50 Q75= 38.25 Skewed to the right 3-The following box plot is based on a recent study on daily charges for a hospital semiprivate room in Louisiana.
So, 2000 = 30000/Square root of sample size. Solving for the Square root of sample size, we get Square root of sample size = 30000/2000 = 15. Taking its square, the sample size is found as 225. Chapter 9 Exercise 1 No it is not a good defense. If you choose 40 random employees from the corporation, the standard error would equal 6/Square root of 40 = .95 days.
The formula S = C (1 + r)^t models inflation, where C = the value today r = the annual inflation rate S = the inflated value t years from now Use this formula to solve the following problem: If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years? 510000(1ⓜ┤+ⓜ0.03)^5 =591229.777893 591229.77789300005 Write 6 = log2 64 in its equivalent exponential form. 26=64 Write 8y = 300 in its equivalent logarithmic form. log 300 = log 8y log(3*100)=log 8y log 3+log100=log 8+log y log 3+2=log 8+log y log 8-log 3=log y-2 By log(A/B)=log A-log B, log (8/3)=log y-2 Hurricanes are some of the largest storms on earth. They are very low pressure areas with diameters of over 500 miles.
0.125 4. The formula S = C (1 + r)t models inflation, where: a. C = the value today b. r = the annual inflation rate c. S = the inflated value t years from now Use this formula to solve the following problem: 4. If the inflation rate is 3 percent, how much will a house now worth $510,000 be worth in 5 years? $591,229 5.
Match each with the expression or equation which best describes it. Potential Matches: 1: a + b = b + a 2: (a + b) + c = a + (b + c) 3: a(b + c) = ab + ac 4: This expression has 4 of them: 3a + b – 5 + 8d. 5: This is what the 5 in the term 5xy is called. Answers: ___: Term ___: Coefficient ___: Associative Property ___: Distributive
Revision Year 12 Maths B, Term 4 1. The function, y=3cosx+5 has an amplitude of 3 and a mean value of 5. Using these values, the range can be found to be 2≤y≤8 . Find the range of the function y=4cosx+7 2. Find the exact value of tan600 (Hint, draw a standard triangle to help) 3.