Answer:
Step-by-step explanation:
This is a binomial probability distribution because there are only 2 possible outcomes. It is either a randomly selected student grabs a packet before being seated or the student sits first before grabbing a packet. The probability of success, p in this scenario would be that a randomly selected student sits first before grabbing a packet. Therefore,
p = 1 - 0.81 = 0.91
n = 9 students
x = number of success = 3
The probability that exactly two students sit first before grabbing a packet, P(x = 2) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 2) = 0.297
Answer:
-4
Step-by-step explanation:
[√2(cos(3π/4) + i sin(3π/4))]⁴
(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴
4 (cos(3π/4) + i sin(3π/4))⁴
Using De Moivre's Theorem:
4 (cos(4 × 3π/4) + i sin(4 × 3π/4))
4 (cos(3π) + i sin(3π))
3π on the unit circle is the same as π:
4 (cos(π) + i sin(π))
4 (-1 + i (0))
-4
To answer this question, we need to know what like terms are. Like terms are terms whose variables and exponents are the same. The coefficients can be different, though. In this case, the like terms are -a²b and 5a²b (because of the definition above.
5/7 x 7/3
Multiply the numerators together and the denominators:
(5 x 7) / (7 x 3)
35/21 reduces to 5/3 = 1 2/3
Answer:
D.(x,y) → (x,-y)
Step-by-step explanation:
If it is reflected across the X-axis, then the X variable will stay the same and the Y variable will change.
I hope this helps!! Good luck!!
(Sorry if I'm wrong! It's kinda awkward because it is placed in the second quadrant instead of the first.)
