let n be the number of times letter be found (1800), p be the success rate (0.068), and q be the failure rate (1 - 0.068 = 0.932)
mean = np = 1800 x 0.068 = 122.4
standard deviation = √(npq) = √(1800 x 0.068 x 0.932) = 10.6807414
Answer:
Option B) ∠ ABC ≅ ∠ DEF
Step-by-step explanation:
Parallel lines that are divided by a transverse lines exhibit interesting properties. A transverse line is a line that combines two parallel lines to give equal angles on the top of the line. These angles are known as corresponding angles. In addition, the angles are known as Z angles as they form a shape of a Z. In addiction, the angles can also be vertically opposite angles. The are angles that are opposite each other. However, these angles are equal in magnitude. Thus, the angles ∠ ABC and ∠ DEF are equal in magnitude.
Answer:
448
Step-by-step explanation:
I = Prt where I is the interest P is the principle r is the rate and t is the time
I = 400 * (.02) * 6
I = 48
The amount in the account is the interest plus the original amount
400 +48
448
The original price was $48
If 75% was 36, divide it by three to get 12 then multiply 12 by 4 to get 100% = 48
From the distribution, it seems as though the digits at fairly even frequencies, though we can test our intuition by doing a few calculations.
The mean (or average) frequency can tell us quite a bit here, and we can calculate it by adding together all of the frequencies and then dividing by the number of frequencies (in this case, 10, since we have 10 digits)
Doing that, we find
(1 + 4 + 5 + 7 + 4 + 5 + 2 + 3 + 5 + 5)/10 = 41/10 = 4.1
When we divide the number of digits (40) by 4.1, we find it equals roughly 10, which means that, *on average*, each of the 10 digits appeared about 4 times. With this knowledge in hand, it wouldn’t be too out-there to suggest that this distribution is going to tend to even out more and more as we continue to add further decimal approximations of π