Answer:
15 Days
Step-by-step explanation:
Formula:
M1D1H1=M2D2H2
The next three terms would be 16, 8, 4...
Answer:
27
Step-by-step explanation:
![6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27](https://tex.z-dn.net/?f=6%283%2B4%29-5%281%2B2%29%3D%20%5C%5C%5C%5C6%287%29-5%283%29%3D%20%5C%5C%5C%5C42-15%3D%20%5C%5C%5C%5C27)
Hope this helps!
Answer:
99% Confidence interval: (0.21,0.27)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1370
Proportion of adults who rated economy as good =
![\hat{p} = 24\% = 0.24](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%3D%2024%5C%25%20%3D%200.24)
99% Confidence interval:
![\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7Bstat%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
![z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.01%7D%20%3D%20%5Cpm%202.58)
Putting the values, we get:
![=0.24\pm 2.58(\sqrt{\dfrac{0.24(1-0.24)}{1370}}) = 0.24\pm 0.0297\\\\=(0.2103,0.2697)\\\approx (0.21,0.27)](https://tex.z-dn.net/?f=%3D0.24%5Cpm%202.58%28%5Csqrt%7B%5Cdfrac%7B0.24%281-0.24%29%7D%7B1370%7D%7D%29%20%3D%200.24%5Cpm%200.0297%5C%5C%5C%5C%3D%280.2103%2C0.2697%29%5C%5C%5Capprox%20%280.21%2C0.27%29)
Answer:
9/40
Step-by-step explanation:
The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.
In this case, event A is the Captain missing the pirate ship and event B is the pirate hitting the Captain's ship.
The Captain fires first, so her ship can't be sunk before she fires her cannons.
So, the probability of the Captain missing the pirate ship is
3/5
If the Captain missed the pirate ship, the pirate has a normal chance to fire back.
So, the probability of the pirate hitting the Captain's ship given the Captain missing the pirate ship is
3/8
The probability that the Captain misses the pirate ship, but the pirate hits is then the probability of the Captain missing the pirate ship times the probability of the pirate hitting the Captain's ship given the Captain missing the pirate ship.
this is 3/5 X 3/8 = 9/40