How many 5/8 foot pieces of wood can you cut from a board that is 2 7/8 feet long??
2.875 / 0.625 = 4
2424% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two,
and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
To find out how many 5/8 foot pieces of wood can be cut from a board that is 2 7/8 feet long, you need to divide the total length of the board by the length of each piece.
First, convert the mixed number 2 7/8 into an improper fraction:
2 7/8 = (2*8 + 7) / 8 = 23/8
Now, divide the length of the board by the length of each piece:
23/8 ÷ 5/8 = 23/8 * 8/5 = (23*8)/(8*5) = 184/40
Simplify the fraction:
184/40 = 46/10 or 4 6/10
So, you can cut a maximum of 4 6/10 or 4.6 pieces of 5/8 foot wood from a board that is 2 7/8 feet long.
To calculate the number of 5/8 foot pieces of wood that can be cut from a 2 7/8 feet long board, you need to divide the length of the board by the length of each piece. Here's how you can do it:
Step 1: Convert the mixed number to an improper fraction.
2 7/8 = (2 * 8 + 7) / 8 = 23/8
Step 2: Divide the length of the board by the length of each piece.
23/8 ÷ 5/8 = 23/8 * 8/5 (dividing by a fraction is the same as multiplying by its reciprocal) = 23 * 8 / 8 * 5 = 184/40
Step 3: Simplify the fraction.
The fraction 184/40 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 8. Canceling out the 8s, we get:
184/40 = 23/5
Therefore, you can cut 23 pieces of 5/8 foot wood from a 2 7/8 feet long board.