period (T): the time it takes to travel one wave
= 2π - (-10π)
= 12π
Answer:
10 buses are needed.
9 buses will only be able to take 468 people.
Explanation:
There are 461 + 20 = 481 people altogether needing transport. Each bus can take at most 52 people. The number of buses needed =
482 ÷ 52.
482 ÷ 52 = 9.25 buses. You might be tempted to round down to 9 buses (because of the 2 that follows the decimal) However, if there are 9 buses,
9 × 52 = 468 people can be taken There will still be
13 people to be transported. This is an example of where you need to round UP to the next whole number.
10 buses are needed. In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.
Answer:
11 cars
Step-by-step explanation:
There are 20 cars in my building's parking lot, 15 cars are 4-door, then
cars are 2-door.
5 cars are 2-door, 4 of them are 2-door and white, then
car is 2-door and red.
12 cars are red, 1 car is 2-door and red, then
cars are 4-door and red.
Imagine (or draw) a standard normal curve. Draw a vertical line through the center of this curve, and mark it 3.25 inches. This is the mean diameter. Next, draw vertical lines to represent these sums: 3.25 plus .25, or 3.50 inches; 3.25 less .25, or 3.00 inches, and 3.25 less .50 inches, or 2.75 inches.
Note that 2.75 inches is 2 standard deviations below the mean: That's 2.75 inches less twice 0.25 inches, or 2.75 = 3.25 inches less 2(0.25) inches.
onions with diameters less than 2.75 are rejected; onions with diameters greater than 2.75 inches are accepted.
Find the area to the LEFT of 2.75 inches. In other words, find the area to the left of 2 standard deviations below the mean.
I would use the Empirical Rule here: "68% of data is within 1 standard dev. of the mean; 95% is within 2 standard dev. of the mean.
This tells us that the area to the left of 2.75 inches or -2 standard deviations is 0.025 (half of 0.050). Subtract this from 1.000; you'll get 0.975. This means that 97.5% of the onions will prove to be acceptable, whereas 2.5% will be rejected because they are less than 2.75 inches in diameter.
You could also use a table of z-scores to do this: Determine from the table the area under the std. normal curve to the left of -2 std. dev. Again, this comes out to 0.025, meaning that the area to the right of -2 std. dev is 0.975.
