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 over- run 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? (d) If an application requires a nail that is 3 inches or 4 inches, what is the probability of getting a nail from the common bin that will satisfy this requirement? (e) If an application requires a nail that is 2 inches or longer, what is the probability of getting a

Our family brought lots of hot dogs along on our latest camping trip. However, after setting up the tent, we didn’t take care to make sure that the food was safe – and raccoons ate 1/3 of the hot dogs! Grumbling, we cleaned up the mess, then ate 6 hot dogs for lunch. But we forgot to put the rest away when we went hiking, and lost 1/4 of our dwindling supply to jays! Just as a precaution, Mom went to the store and bought enough hot dogs to increase our supply by 2/3. Our campsite neighbors, however, ran out of food, so we gave them 2/9 of our remaining hot dogs and then ate 11 hot dogs for our dinner. That night, bears got 3/4 of the last part of our supply, and in the morning there were only 6 hot dogs left! How many hot dogs did we start with? (Next time maybe we should just bring granola bars...)

A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of ten elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration? different curricula

The owner of Blackstone Inc. opened 3 stores in different parts of the city and would like to compare the number of sales transactions made after 2 months of operation. The number of sales transactions at the 3 stores are displayed in the chart below: Number of Transactions 250 200 150 100 50 140 180 170 194 SUBMIT QUESTION 2 156 184 Month 1 Month 2 SAVE PROGRESS SUY

A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the body, hind legs and tail of horse. It is very similar to another magical creature, the Griffin, with the horse rear replacing the lion rear. A slightly different breed of Hippogriffs, living in the Rathlin Island-the northernmost point in Northern Ireland, has an initial population of No. From that initial population count, it grew to 705 individuals after 28 years. After 28 more years, the population of hippogriffs in Rathlin Island rose to 2764 individuals. If the carrying capacity of Rathlin Island for this particular specie is 3000 individuals, and calculate for the initial population and the growth rate constant of the said species.

One pro basketball player was known for being a good shooter. In games during 1980-1982, when he missed his first free throw, 47 out of 54 times he made the second one, and when he made his first free throw, 248 out of 285 times he made the second one. Complete parts (a) through (c). a. Form a contingency table that cross tabulates the outcome of the first free throw (made or missed) in the rows and the outcome of the second free throw (made or missed) in the columns. 2nd free throw made 2nd free throw missed Total 1st free throw made 1st free throw missed Total b. For a given pair of free throws, estimate the probability that the player made the first free throw. (Hint: Use counts in the row margin.) The probability is (Round to the nearest hundredth as needed.) For a given pair of free throws, estimate the probability that the player made the second free throw. (Hint: Use counts in the column margin.) The probability is. (Round to the nearest hundredth as needed.) c. Estimate the…

If Albert Enstein has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?

Mexico City Bank of Commerce and Industry is a busy bank. Due to different customers' needs, it needs to assign a different number of tellers at the counter at different times of each day. The table below indicates the number of bank Employees/tellers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. The branch will hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a summary of the info. в Етployees Full-time Employees: The bank currently has employed 18 Full time tellers/employees. Full-time tellers that work from 9 a.m. to 5 p.m. Each full-timer will be paid $85 per day on average. The 18 employees can't be layoff. However, the manager may use only Part of the 18 Full-Time Employees in this branch and relocate the rest to another branch with a relocation-related cost $10 per-employee per-day. That is, the employees to be relocated to another department will cost this department $10, instead of $85, a…

An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?

The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3536 people waiting for a heart transplant, 3355 for a lung transplant, 16,012 for a liver transplant, and 46,824 for a kidney transplant. Corresponding figures for 2003 were 3292, 3543, 16,985, and 56,590, respectively. In 2006, the figures were 2625, 2691, 16,882, and 68,412, respectively. Express the information as a matrix, labeling rows and columns. Fill in the matrix below. Heart Liver 3536 46,824 3543 56,590 2006 2625 16,882