Answer:
2x2 - x + 3
Step-by-step explanation:
x = 8
Explanation:
AE = 3x - 4
EC = x + 12
SInce diagonals AC and DB intersect at E
it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC
AE = EC
3x - 4 = x + 12
collect like terms:
3x - x = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
Answer:
B. (8, 4)
Step-by-step explanation:
Hope this helps!
Answer: a) 0.9961, b) 0.9886
Step-by-step explanation:
Since we have given that
Probability that does not show up = 0.10
Probability that show up = 0.90
Here, we use "Binomial distribution":
n = 125 and p = 0.90
Number of passengers that hold in a flight = 120
a) What is the probability that every passenger who shows up can take the flight?
![P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961](https://tex.z-dn.net/?f=P%28X%5Cleq%20120%29%3D%5Csum_%7Bx%3D0%7D%5E%7B120%7D%5E%7B125%7DC_x%280.90%29%5Ex%280.10%29%5E%7B125-x%7D%3D0.9961)
(b) What is the probability that the flight departs with empty seats?
![P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886](https://tex.z-dn.net/?f=P%28X%5Cleq%20119%29%3D%5Csum%20_%7Bx%3D0%7D%5E%7B119%7D%5E%7B125%7DC_x%280.90%29%5Ex%29%280.10%29%5E%7B125-x%7D%3D0.9886)
Hence, a) 0.9961, b) 0.9886
Answer:
a F
Step-by-step explanation:
Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.
If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10
which is F.