Answer: 4 1/6
Step-by-step explanation:
Answer:
If you want to find the percentages, you must use the equation:
P = ((total tries in where the event is true)/total tries)*100%
(if you only want the decimal form, you can not multiply it by 100% and you will get a number between 0 and 1)
ok, for placebo we have 30 + 8 = 38 tries.
the frequency where the player block the goal is: p1 = (30/38)*100% = 78.9%
the frequency in where the player don't block the goal is:
p2 = (8/38)*100% = 21%
For the luck potion we have a total of:
23 + 5 = 28 tries.
The frequency where the player did block the goal is:
p1 = (23/28)*100% = 82.1%
then the frequency where the player did not block the goal is:
p2 = (5/23)*100% = 17.9%
So we can see that, in percentage, the luck potion is more efficient.
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
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- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
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-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Answer:
33
Step-by-step explanation:
angles on a straight line sum up to 180°
104+x+x+10=180
114+2x=180
2x=180-114
2x=66
x=33