Answer:
B) 5 x 4 x 3 x 2 x 1
Step-by-step explanation:
When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:
5! = 5 * 4 * 3 * 2 * 1
For example, take factoral 10: 10!
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800
In this case, you are multiplying 5!.
5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120
5! = 120
According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:

The z-score for 1.5 flaws per square yard is:

The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.
Answer:
E) 1 and 2
Step-by-step explanation:
We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.
Thus:
n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)
For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)
For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6
For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)
Therefore, only 1 and 2 are factors of n^(st)
Answer:
380.832 pounds Approximately
Step-by-step explanation:
1 foot of water = 62.428 pounds (62.43)
6.1* 62.43= 380.832
-2x-4
slope always goes first and behind that goes x...