You are working as an office apprentice for the bksb Newcastle Arena.
2 answers:
Answer:
There will be 40 winners.
There is a 95% chance of not winning.
Step-by-step explanation:
In order to calculate the winners per draw, we just have to multiply the chance of winning by the entrants.
We have 800 entrants, and there is 1/20 chance of winning, so we just multiply it:
And now to calculate the percentage we just have to do a rule of thirds:
If 20 is 100% how much would 1 be?
So now we now that the percentage of winners would be 5%.
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The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
From the problem :
In multiplying expressions with the same bases, the exponent will be added accordingly.
For example :
the exponent of a are m and n, and the product will be a raised to the sum of m and n.
Applying this to the problem, we have :
The answer is d. 6^-1