When a pair dice is cast then sample space is
= { (1,1), (1,2)
, (1,3) , (1,4) ...(1,6)
(2,1) , (2,2), ...(2,6) ...(6,6)}
Let A = Event that the sum of the number showing up is exactly 7.
Therefore,
A = { (1,6) , (2,5) , (3,4), (4,3), (5,2) , (6,1)}
n(A) = 6
By classical definition of probability
Hence, Probability = 0.1667
Show all the necessary mathematical steps. Also, make aure to provide relevant-imterpretations of your results Last...
In the following questions write your answers with the detailed steps. Show all necessary equations or conversion factors. a. 4.50 g sample of glucose (C6H12O6) is dissolved in enough water to make 10.0 mL of solution. Calculate the molarity. b. 424 g of solute is dissolved in enough water to give 1.00 L of solution. The density of the resulting solution is 1.18 g/mL. What is the %(w/w)? c. Write a reaction equation that corresponds to the following equilibrium expression:...
In the following questions write your answers with the detailed steps. Show all necessary equations or conversion factors. a. 4.50 g sample of glucose (C6H1206) is dissolved in enough water to make 10.0 mL of solution. Calculate the molarity. b. 424 g of solute is dissolved in enough water to give 1.00 L of solution. The density of the resulting solution is 1.18 g/mL. What is the %(w/w)? c. Write a reaction equation that corresponds to the following equilibrium expression:...
(Note: Be sure and show a diagram of the research design. Also show all steps and calculations you made for each test following the process outlined in the z-test formula sheet handout. What statistical decision do you make in each case? Finally report your results professionally in APA format (see last step of the formula sheet for this module.) 10.2 Researchers at a National Weather Center in the northeastern United States recorded the number of 90 degree days each year...
please show all steps with necessary mechanism arrows
1. Provide the starting specific nucleophile and electrophile that would result in each of the following molecules using an SN2 reaction. Do consider the ABC and provide the specific reagent necessary. (2 points) Me HH MeMe Me I wyn Me Me 2. Provide a detailed retrosynthesis and synthesis of the following compound from the indicated starting material. All atoms of the target must come from the indicated starting materials. You may use...
help, please.
12 Instructions: Show your starting equations and show essential steps of subsequent work. Enclose final answer(s) in a box. Score: points 1. [6] Three identical train cars (mass m), coupled together, are rolling east at speed vo. A fourth car (also mass m) traveling east at 4vo catches up with the three and couples to make a four-car train. A moment later, the train cars hit a fifth car (mass 2m) moving at a velocity of vo to...
matlab
The error function is a mathematical function that frequently arises in probability and statistics. It also can show up in the solution to some partial differential equations, particularly those arising in heat and mass transfer applications. The error function is defined as 2 e-t dt picture attached This function is actually built-in to MATLAB as the command erf, and here we'll use that function to compute a "true value" with which we can compare results of two interpolation approaches....
course name: control system
topic about root locus
please show all your steps to make easier for understanding.
1. Determine the stability condition of the systems describe in the first column below. Justify your answer with reason. show all your answers steps Justification Stability condition Systems description dy y +2 y x +3 dt dy -6y= x + dt2 dt provide special condition provide special condition 2. Given the closed loop system in the figure below, analysis the systems given...
Please correct this problem and provide a clear explanation. Show
all necessary work
Celebration 3 Spring 2016 Physics 212 i) Three long parallel current-carrying wires, labeled I, l2, and ls, are equally spaced distance d from each other, and all carry equal magnitude currents perpendicular to plane of the page. Current Ih flows out of the page, current l2 and Is both flow page. What is the direction of the net magnetic force on wire 3 due to the other...
Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly rolled. If a ’ 7 ’ comes up before an ’ 11 ’ , then the player wins, otherwise the player loses. Let W be the event that the player wins. Find P(W). To say the dice are fair is equivalent to assuming that Laplace’s rule holds and the 36 possible outcomes for a throw of the dice are equally likely. For convenience, an...
Please show all work and
steps! Would like to learn how!
Given a second order linear homogeneous differential equation a2(x)y" + a1(x)y' + 20 (x)y = 0 we know that a fundamental set for this ODE consists of a pair linearly independent solutions Yı, Y2. But there are times when only one function, call it Yı, is available and we would like to find a second linearly independent solution. We can find Y2 using the method of reduction of order....