In a random sample of 400 customers at a fast food restaurant, it was determined that 124 customers ordered a salad. If the rest
aurant typically has 1,000 customers in a day, how many of these customers will probably order a salad? The probability of winning a game is 20%. How many times should you expect to win if you play 45 times?
Which events are independent? *
1 point
You draw 2 colored cards at the same time and get one red and one green.
You choose 2 different ice cream flavors.
You draw a card from a deck, replace it and draw a second.
You swim 10 laps in 15 minutes today and do the same tomorrow.
A coin is tossed and a number cube is rolled.
What is the probability that the coin shows heads and the number cube shows 2? *
We have a rectangle with a diagonal included. That means we have to use Pythagorean's Theorem to find the missing dimensions. We start with the width as w. The length is 31 more than twice the width, so the length is 2w+31. The hypotenuse (diagonal) is 2 more than the length, so the diagonal measures 2w+33. In a right triangle, the hypotenuse is always the longest side, so we set up Pythagorean's Theorem using the bolded values as such: . Distributing by multiplying we simplify to . We need to solve for w. Once we do that we can use that value to find the length. What's nice is that the 4w^2 terms cancel each other out. So when we combine like terms and get them all on one side of the equals sign to factor we have . The 2 numbers that add up to -8 and multiply to -128 are 16 and -8. So the width is either 16 inches or the width is -8 inches. The 2 things in math that will never EVER be negative are time and distance/length. So -8 is out. The width is 16 inches. That means that the length is 2(16)+31, which is 63 inches. There you go!