please prove 9.6 and 9.7
The next three theorems formalize what you may have discovered in the preceding group of questions. 9.6 Theorem. Let K be a positive integer Then, among any k real num- bers, there is a pair of them whose difference is within 1/K of being an integer When we take our collection of real numbers to be multiples of an ir- rational number, then we can find good rational approximations for the irrational number. Remember how...
Question For this problem, consider the function on the domain of all real numbers. (a) The value of is Oo . (If you need to use -co or o, enter-infinity or infinity.) (b) The value of f(x) limx→- is O0 X . (If you need to use -oo or co, enter -infinity or infinity.) (c) There are two x-intercepts; list these in increasing order: s- t- (d) The intercepts in part (c) divide the number line into three intervals. From...
EIN3235 Name: Question No. (a) (b) (c) (d PID: o OO o O Oo o o O 12 13 o O O 15 16 O ooO 18 Use the following data to answer questions 1-s 36, 25, 24, 13, 12, 24, 35, 48, 24 1. What is the mean? a. 28.65 b. 26.78 2. What is the median? c 27.82 d. 25.78 c 25 d. 26 3 What is the first quartile of the data? 18.5 d. 145 4. What...
PLEASE DO NUMBER 3 NOT NUMBER 2
the attached doc is needed
2. In class we derived Eq 11.14 for the V and 11.16 for the A, due to an oscillating dipole. We started to determine the E in class but didn't finish. Start from the beginning and derive E, showing all steps a. b. Now find the B by following the steps below and showing all work i. What direction is A ? How do you know? ii. Rewrite...
Law of Large Number↓
Led tin eperaje Theorem 9.11. (Central limit theorem) Suppose that we have i.i.d. random variables Xi,X2. X3,... with finite mean EX and finite variance Var(X) = σ2. Let Sn-Xi + . . . + Xn. Then for any fixed - oo<a<b<oo we have lim Pax (9.6) Theorem 4.8. (Law of large numbers for binomial random variables) For any fixed ε > 0 we have (4.7) n-00
A random sample of 88 women showed that the mean number of children reported was 1.58 with a standard deviation of 1.8. (interestingly, a sample of 88 men showed a mean of 1.3 children.) Complete parts (a) through (c) below EEB Click the lcon to view the ttable. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which...
MATH 1148 College Algebra Name: SU 20, Form C 120 points Skills Check #5 Directions: Find the real zeros of the polynomial function f(x) = 2x2 - 13x + 24x - 9 by completing the steps below. Then, write f in factored form. (2 points) 1. State the degree of f. (2 points) 2. What is the maximum number of real zeros of f? (3 points) 3. Since f has integer coefficients, use the Rational Zeros Theorem to identify those...
What do we mean by “regression toward the mean?” A. The linear regression equation can be used to identify the average value of each variable in the model. B. Linear regression normalizes the scale of the variables so they have a mean of zero and standard deviation of 1. C. The phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement. D. Outliers in the model...
1. Suppose that we have a floating point real number structure shown as below 10 bits 22 bits exponent mantisa 1-1. Find the minimum and maximum value of this floating point real number 1-2. Suppose that A. B and C are real numbers represented by this floating point real number. Suggest a function that calculates CA * B. You may write a function with pseudocode or any languages
1. Suppose that we have a floating point real number structure shown...
Let k 21 be a positive integer, and let r R be a non-zero real number. For any real number e, we would like to show that for all 0 SjSk-, the function satisfies the advancement operator equation (A -r)f0 (a) Show that this is true whenever J-0. You can use the fact that f(n) = crn satisfies (A-r)f = 0. (b) Suppose fm n) satisfies the equation when m s k-2 for every choice of c. Show that )...