Choose two numbers $X$ and $YS independently at random from the unit interval $[0,1]$ with the uniform density. The probability that $$ 4 \cdot X+8 \cdot Y<3.4 $$ SP.AS081|
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- There are N students competed in a VNIT chess conmpetition, where i-th student has points Ai. The i-th student will become happy if and only if the number of students with points less than or equal to Ai is greater than euqal to the number of students with points greater than Ai. Can you find maximum number of happy students in our college? Input Format The first line contains T - the number of test cases. Then the test cases follow. • The first line of each test case contains a single integer N - the number of students. • The second line of each test case contains N integers the points of each student. Constraints • 1 ≤ T ≤ 1000 • 1 ≤ N≤ 100 • 0≤A≤ 100 Output Format For each test case, output in a single line the number of happy students. Sample Input 0 3 100 100 100 3 2 1 3 4 30 1 30 30 Sample Output 0 MNM 3 2 Explanation 0 Test case 1: All three students got the highest score. So all three them will be happy. Test case 2: Only the student with score 1 will not be happy other 2 will…Zone, N = (sum of digits of your student id)% 8 For example, if your student id is 17301283,zone = (1+7+3+0+1+2+8+3) % 8 = 25 % 8 = 1 Derive midpoint line drawing algorithm for a line in zone N. If you find zone 0, i.e., then drop the last digit from sum and take % 8 again.If your student id is 16240524, zone = (1+6+2+4+0+5+2+4)%8 = 24%8 = 0Updated zone by removing last digit 4 = (1+6+2+4+0+5+2)%8 =20%8 = 4 Derive midpoint circle drawing algorithm for the arc of the circle in zone N. If you find zone 1, i.e., then drop the last digit from sum and take % 8 again.If your student id is 17301283, zone = (1+7+3+0+1+2+8+3)%8 = 25%8= 1Updated zone by removing last digit 3 = (1+7+3+0+1+2+8)%8 = 22%8= 6The position as a function of time of a squirrel running on a grass field is given in polar coordinates by: r(t) = 20 + 30 (1 – e-0.1 t) 0(t) = 1 (1 – e-0.2 t) = TT Plot as 1* subplot the trajectory (position) of the squirrel for 0 st < 20s with a step of time 0.5s. Calculate numerically the speed of the squirrel given by v = r d8/dt. Create a 2d subplot for speed of the squirrel v (numerical) as function of time for 0 st s 20s. Report the curve as green circle without line. In the same figure (2¤d subplot), plot as black solid line the theoretical velocity given by the formula v = r de/dt as function of time for 0 st s 20s.
- Which of the following T(n) functions defines the best case for the following code? for(int i = 0; i < n; ++i)if(i % 2 == 1)odds++;T(n) = 4n + 1T(n) = 3.5n + 2T(n) = 3n + 1T(n) = 4n + 2If F1(A, B, C, D) = Sum(0, 1, 3, 8, 9, 14, 15) and d=Sum(4, 5, 11, 12, 13), the F1 =In binomial_overbooking.xlsx, the formula in cell B7 is not general. For example, if the overbooking number is over 20, then more rows should be added to columns D to G. Write a VBA function to calculate the expected bumps. 'q:overbooking number 'n:capacity 'p: no-show probability Function binom_bump(q As Integer, n As Integer, p As Double) As Double.
- 4. Let A = {а, b, с, d}, B 3 {а, у} and С- {m, п, о, р}. Find а. Ах В %— b. В2 — c. |A x B x C| =There are two isotopes of an unknown element, X-19 and X-21. The abundance of X-19 is 14.29%. A weighted average uses the percentages of each isotope to scale their contribution to the total mass. Each isotope's contribution is the percentage (in decimal form) multiplied by the mass of the isotope. What is the contribution (in amu) to the weighted average from the X-19 isotope, which has a mass of 19.00 amu?We want to buy the car depending on its cost for 10 years. Here is the algorithm for deciding which car to buy dependir a price of OMR 4.000 per liter of gas and usage of 15,000 kilometers per year. For each car, compute the total cost as follows: annual fuel consumed = annual miles driven / fuel efficiency %3D annual fuel cost = price per gallon x annual fuel consumed operating cost = 10 x annual fuel cost total cost = purchase price + operating cost If total cost1 total cost2 Choose car2. Else Choose car1 or car2 Use these sample values: Car 1: purchase price: OMR 25,000, fuel efficiency: 10 kms/liter, Car 2: purchase price: OMR 20,000, fuel efficiency: 15 kms/liter What is the outcome of the algorithm. O a. Choose car 2 O b. Choose car 1 O c. Choose car1 or car2 O d. Choose car1 and car2
- Q _1 Suppose we want to pick two numbers from {1,2,⋯,100} randomly. What is the probability that the sum of the two picked numbers is divisible by 5.?A university assigns student IDs of the form 1, 2, 3, ... such that if n students are currently enrolled, then the next student to enroll will receive and ID of n + 1. Consider the following algorithm that accomplishes this. // Global variable storing number of students currently enrolled current_student_count = 0 // Function that reads the above global variable, calculates new ID, and increments the global count assign_new_id(): count = current_student_count new_id = count + 1 current_student_count = count + 1 return new_id (a) If two different threads run the above code in parallel to enroll two different students, it is possible for the two students to receive the same ID, and for the current_student_count to have a wrong value. Explain how this is possible. (b) Modify the code above so that the problem in (a) does not happen.Please answer fast