You just need to foil. 2x times 4x times 2x times 36 times 24 times 4x times 24times 36. then solve.
Remember that "of" means to multiply.
(1/12) of 180 coins are dimes. The number of dimes will be
(1/12)*180 = 180/12 = 15
Tan (x) = 0.8. To calculate the angle x, find the tan⁻¹ (0.8) = 38.7°
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.
Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.
Answer:
Let p represent the # of pages in the book. Then, Nora has already read 0.30p pages and has 0.70p pages left to read.
If she reads 25% pages/night, that means reading 0.25(0.70)p pages per night, or 17.5 pages/night. If 28% p/n, that means 0.28(0.70)p pages/night, or 19.6p pages/night.
How many nights will it take Nora to finish the book if she reads 25% of 7/10 of the book per night? Without any calculations, we can answer this by "4 nights, since she reads 1/4 of the unread portion of the book per night."
If she reads 28% of 7/10 of the book per night, that will require fewer nights:
First night: 28%
Second night: 28%
Third night: 28%
Total: 3(28%) = 84%
This leaves 16% to read on the final night.
This is one interpretation of what I think is a poorly worded question.
The author of this question might have meant reading 25% of the remaining unread pages per night, which leads to a different answer.
