Answer:
The wording seems a bit off, I usually see it as deductive reasoning but yes, you take what you know and use that to "deduce", or find out something
Answer:
Blank 1: 40
Blank 2: 10
Step-by-step explanation:
You can start by representing the speed of the water as x and the speed of the dolphin as y, and writing an equation.
y+x=50
y-x=30
Adding these two equations together, you get:
2y=80
y=40 for the speed of the dolphin in still water. Now, you an use one of the previous equations to find the speed of the current.
40-x=30
x=10
Hope this helps!
Answer:
![P = 0.1447](https://tex.z-dn.net/?f=P%20%3D%200.1447)
Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
![Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B7000%20-%20180%7D%7B7000%7D%20%2A%20%5Cfrac%7B6999%20-%20180%7D%7B6999%7D%2A%20%5Cfrac%7B6998%20-%20180%7D%7B6998%7D%2A%20%5Cfrac%7B6997%20-%20180%7D%7B6997%7D%2A%20%5Cfrac%7B6996%20-%20180%7D%7B6996%7D%2A%20%5Cfrac%7B6995%20-%20180%7D%7B6995%7D)
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
![Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B6820%7D%7B7000%7D%20%2A%20%5Cfrac%7B6819%7D%7B6999%7D%2A%20%5Cfrac%7B6818%7D%7B6998%7D%2A%20%5Cfrac%7B6817%7D%7B6997%7D%2A%20%5Cfrac%7B6816%7D%7B6996%7D%2A%20%5Cfrac%7B6815%7D%7B6995%7D)
![Pr = 0.8553](https://tex.z-dn.net/?f=Pr%20%3D%200.8553)
Using the complement rule, the probability that the batch will be rejected is:
![P = 1 - 0.8553](https://tex.z-dn.net/?f=P%20%3D%201%20-%200.8553)
![P = 0.1447](https://tex.z-dn.net/?f=P%20%3D%200.1447)
Answer:
$4,500.
Step-by-step explanation:
1 year and 6 months is 18 months, so 250 times 18 is 4,500.