Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
A circle with center point N and three points A, B, C on its circumference. A line is drawn connecting the points A, N and C and the angle ANC is given as 138 degree.
B. 138°
Answer:
46/100 = 23/50
Step-by-step explanation:
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First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire
Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$
This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.
Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$
To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$
There you go!
Answer:
![h(x) = 10](https://tex.z-dn.net/?f=h%28x%29%20%3D%2010)
Step-by-step explanation:
Given
![h(x) = |2x| - 4](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%7C2x%7C%20-%204)
![x = -7](https://tex.z-dn.net/?f=x%20%3D%20-7)
Find h(x)
Substitute -7 for x
![h(x) = |2*-7| - 4](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%7C2%2A-7%7C%20-%204)
![h(x) = |-14| - 4](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%7C-14%7C%20-%204)
Absolute values return positive. So:
![h(x) = 14 - 4](https://tex.z-dn.net/?f=h%28x%29%20%3D%2014%20-%204)
![h(x) = 10](https://tex.z-dn.net/?f=h%28x%29%20%3D%2010)