document.write( "Question 1192923: Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails for various uses. In the production process, if there is an overrun or the nails are slightly defective, they are placed in a common bin. Yesterday, 651 of the 1-inch nails, 243 of the 2-inch nails, 41 of the 3-inch nails, 451 of the 4-inch nails, and 333 of the 5-inch nails were placed in the bin. (a) What is the probability of reaching into the bin and getting a 4-inch nail? (b) What is the probability of getting a 5-inch nail? (c) If a particular application requires a nail that is 3 inches or shorter, what is the probability of getting a nail that will sa \n" ); document.write( "
Algebra.Com's Answer #824858 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Part (a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 651 = number of 1-inch nails \n" ); document.write( "B = 243 = number of 2-inch nails \n" ); document.write( "C = 41 = number of 3-inch nails \n" ); document.write( "D = 451 = number of 4-inch nails \n" ); document.write( "E = 333 = number of 5-inch nails\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A+B+C+D+E = 651+243+41+451+333 = 1719 nails total\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Of that total, D = 451 are four-inch nails.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 451/1719\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==========================================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Part (b)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We use the same idea as part (a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "E = 333 = number of five inch nails \n" ); document.write( "A+B+C+D+E = 1719 nails total\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It leads to the fraction 333/1719 which reduces to 37/191 after dividing both parts by the GCF 9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 37/191\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==========================================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Part (c)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The question is cut off. Please repost. Thank you. \n" ); document.write( " \n" ); document.write( " |