Health study of 540 adults found that only 7 in 20 adults get enough sleep each night. Based on the results of the sample, how many adults get enough sleep?
If 7 in 20 adults get enough sleep, then the proportion of adults who get enough sleep is 7/20.
To find out how many adults get enough sleep out of a sample of 540 adults, we can set up a proportion:
7/20 = x/540
To solve for x, we can cross-multiply:
20x = 7 * 540
20x = 3780
x = 189
Therefore, out of the sample of 540 adults, approximately 189 of them get enough sleep each night.
Two coins are flipped. What is the probability that both Coins land on heads?
When flipping two coins, there are four possible outcomes: HH, HT, TH, and TT.
Each outcome is equally likely, so the probability of getting HH is 1/4.
Therefore, the probability that both coins land on heads is 1/4 or 0.25.
Out of school assembly, three out of the first 10 students were wearing Spirit wear. Based on this information, if 400 students were at the assembly, then how many students could be expected to have on Spirit wear?
If 3 out of the first 10 students were wearing Spirit wear, then the proportion of students wearing Spirit wear is 3/10.
To find out how many students out of 400 could be expected to wear Spirit wear based on this proportion, we can set up a proportion:
3/10 = x/400
To solve for x, we can cross-multiply:
10x = 3 * 400
10x = 1200
x = 120
Therefore, out of 400 students, approximately 120 students could be expected to wear Spirit wear at the assembly.
The letters in the word AUGUST are placed in a bag. What is the probability of selecting a U?
There are a total of 6 letters in the word AUGUST: A, U, G, U, S, and T.
Therefore, when selecting a letter at random, there are a total of 6 possible outcomes, with only 2 of them being a U.
So the probability of selecting a U is 2/6, or 1/3, or approximately 0.333.