Numerade

Questions asked

BEST MATCH

An ordinary deck of 52 playing cards is randomly divided into 4 piles of 13 cards each. Compute the probability that each pile has exactly 1 ace. Solution Define events $ E_{i}, i=1,2,3,4 $, as follows: \[ \begin{array}{l} E_{1}=\{\text { the ace of spades is in any one of the piles }\} \\ E_{2}=\{\text { the ace of spades and the ace of hearts are in different piles }\} \\ E_{3}=\{\text { the aces of spades, hearts, and diamonds are all in different piles }\} \\ E_{4}=\{\text { all } 4 \text { aces are in different piles }\} \end{array} \] The desired probability is $ P\left(E_{1} E_{2} E_{3} E_{4}\right) $, and by the multiplication rule, \[ P\left(E_{1} E_{2} E_{3} E_{4}\right)=P\left(E_{1}\right) P\left(E_{2} \mid E_{1}\right) P\left(E_{3} \mid E_{1} E_{2}\right) P\left(E_{4} \mid E_{1} E_{2} E_{3}\right) \] Now, \[ P\left(E_{1}\right)=1 \quad \] since $ E_{1} $ is the sample space $ S $. To determine $ P\left(E_{2} \mid E_{1}\right) $, consider the pile that contains the ace of spades. Because its remaining 12 cards are equally likely to be any 12 of the remaining 51 cards, the probability that the ace of hearts is among them is $ 12 / 51 $, giving that \[ P\left(E_{2} \mid E_{1}\right)=1-\frac{12}{51}=\frac{39}{51} \] Also, given that the ace of spades and ace of hearts are in different piles, it follows that the set of the remaining 24 cards of these two piles is equally likely to be any set of 24 of the remaining 50 cards. As the probability that the ace of diamonds is one of these 24 is $ 24 / 50 $, we see that \[ P\left(E_{3} \mid E_{1} E_{2}\right)=1-\frac{24}{50}=\frac{26}{50} \] Because the same logic as used in the preceding yields that \[ P\left(E_{4} \mid E_{1} E_{2} E_{3}\right)=1-\frac{36}{49}=\frac{13}{49} \]

View Answer

BEST MATCH

Core strength exercises involved little to no movement in the spine and pelvis. A True B False

View Answer

BEST MATCH

a car with mass of 1600 kg is moving along a straight line at a constant speed of 108km

View Answer

BEST MATCH

With the help of a diagram explain the effect of varying stress range on specimen crack length and stress cycles.

View Answer

BEST MATCH

4 Badlands, Inc. manufactures a household fan that sells for $25 per unit. All sales are on account, with 30 percent of sales collected in the month of sale and 70 percent collected in the following month. The data that follow were extracted from the company's accounting records. Badlands maintains a minimum cash balance of $21,000. Total payments in January 20x1 are budgeted at $205,000. • A schedule of cash collections for January and February of 20x1 revealed the following receipts for the period: From December 31 accounts receivable From January sales From February sales • March 20x1 sales are expected to total 7,000 units. • Finished-goods inventories are maintained at 30 percent of the following month's sales. • The December 31, 20x0, balance sheet revealed the following selected figures: cash, $24,000; accounts receivable, $105,000; and finished goods, $24,600. Required: 1. Determine the number of units that Badlands sold in December 20x0. 2. Compute the sales revenue for March 20x1. 3. Compute the total sales revenue to be reported on Badlands' budgeted income statement for the first quarter of 20x1. 4. Determine the accounts receivable balance to be reported on the March 31, 20x1, budgeted balance sheet. 5. Calculate the number of units in the December 31, 20x0, finished-goods inventory. 6. Calculate the number of units of finished goods to be manufactured in January 20x1. 7. Calculate the financing required in January, if any, to maintain the firm's minimum cash balance. 1. December sales units 2. March sales revenue 3. First quarter sales revenue 4. March 31 accounts receivable balance 5. December 31 finished-goods inventory units 6. Finished goods to be manufactured in January units 7. Financing required in January

View Answer

BEST MATCH

Example. Laplace equation in polar coordinates $\frac{\partial^2 u}{\partial r^2} + \frac{1}{r}\frac{\partial u}{\partial r} + \frac{1}{r^2}\frac{\partial^2 u}{\partial \theta^2} = 0$ $u = u(r, \theta), 0 < r < 1, 0 < \theta < 2\pi$ $u(1, \theta) = \theta$ Prove that: $u(r, \theta) = 2 - 2 \sum_{n=0}^{\infty} \frac{1}{n}r^n \sin n\theta$

View Answer

BEST MATCH

3. [2] (Input and Output) Write a pseudocode for example 2 of Super Simple CPU Applet.

View Answer

BEST MATCH

Question 34 Explain what the following SQL query does. SELECT CruiseSerialNo, SUM(DockingFee) From Port, Visit WHERE Port.PortID= Visit.PortID GROUP BY CruiseSerialNo

View Answer

BEST MATCH

Ledger: Common Stock, $10 Par Value Paid-In Capital in Excess of Par - Common Paid-In Capital - Treasury Stock Paid-In Capital - Stock Options Retained Earnings Treasury Stock (10,000 shares) Total Stockholders' Equity $2,500,000 1,500,000 30,000 20,000 3,000,000 180,000 $6,870,000 The paid-in capital from stock options relates to options granted on 1/1/18 to the CEO as incentive compensation. As of 1/1/20, the remaining expected benefit period is five years; expense has been and will be recorded evenly over the benefit period. The following events were among the many occurring in 2020: a. January 2: Purchased 5,000 shares of its common stock for $15 per share. Brown uses the cost method of accounting for treasury stock transactions. b. February 1: Declared and paid a cash dividend of $2 per share on the outstanding common stock. c. April 1: Issued 20,000 shares of $50 par, noncumulative, convertible 6% preferred stock for $60 per share, where one share of preferred stock is convertible into four shares of common stock. d. July 1: 2,000 shares of treasury stock that had been purchased in a prior year for $18 per share were re-issued for $10 per share. e. August 1: Holders of 6,000 shares of the preferred stock converted their shares into common stock when the market value of the common stock was $22 per share. Brown uses the book value method of accounting for conversions. f. October 1: Declared and distributed a 1% stock dividend on common stock outstanding when the market price of the stock was $25 per share. g. November 1: Corrected an error that was made several years ago, when land that had been purchased for $60,000 was inadvertently expensed. h. December 1: Declared and distributed a property dividend of land to preferred shareholders. The land had a fair value of $60,000 and a carrying value of $45,000. i. December 31: Recorded 2020 compensation expense related to the stock options. The 2020 Final Net Income, including the effects of any net income items listed above and the 2020 tax effects on net income items, was $700,000. There were 500,000 shares authorized for both preferred and common stock. Required: All journal entries for the items a. through i.) above. No explanations. Ignore tax effects.

View Answer

BEST MATCH

Matlab % Initialize two variables as 0: S & B % Setup a for loop that runs 10 times % Ask the user for an input where the % response is: 1-Strike, 2-Foul Ball, % or 0-Ball. Assign the value to a % variable "Pitch". % Setup conditional statements that % check the value of "Pitch". If the % value is 1, then add 1 to the % variable "S". Also display % to the user 'Strike!'. % If the value of "Pitch" is 2 only % have the program display to the % user 'Foul Ball!'. % If the value of "Pitch" is 0, then % add 1 to the value of B and display % to the user 'Ball!'. % After the first set of conditional % statements setup an additional set % of conditions. % If the value of S is 3 then display % to the user 'You're Out!' and stop % the current loop. % If the value of B is 4 then display % to the user 'Take your Base!' and % stop the current loop.

View Answer

anne w.