Answer:
B
Step-by-step explanation:
Closest answer
Answer:
x = -25
x = infinite solutions
Step-by-step explanation for 1:
4(-25) - 10 = 5(-25) + 15
-100 - 10 = -125 + 15
-110 = -110
Step-by-step explanation for 2:
Both equations are the exact same. So whatever number you put, the answer will be right
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because the outcome is either a randomly selected first-class mail within the same city is delivered within two days of the time of mailing or more days. The probability of success, p is that it is delivered within 2 days. Therefore,
p = 95/100 = 0.95
q(probability of success) = 1 - p = 1 - 0.95 = 0.05
n = number of samples = 6
1)The probability that all six arrive within two days, P(x = 6) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 6) = 0.74
2) P(x = 5) = 0.23
3) mean = np = 6 × 0.95 = 5.7
4) Variance = npq = 6 × 0.95 × 0.05 = 0.285
Standard deviation = √0.285 = 0.53
