Solve the following equation for x to find the total number of people who became members of a social networking site for a certa
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What will the radius of your cake be?
This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.
How many slices will you be able to cut?
The total area of a circle is given by:
We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:
Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:
Finally, we will be able to cut:
Slices
This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.
How many slices will you be able to cut?
The total area of a circle is given by:
We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:
Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:
Finally, we will be able to cut:
3 + 2 + 1 + 2 = 8, which is the amount of sweaters.
The probability of a brown sweater is 2 / 8 = 0.25
And the probability of a green sweater is 1 / 8 = 0.125.
Multiply the two probabilities together to get the probability of choosing brown then green:
0.25 * 0.125 = 0.03125.
To convert a decimal to fraction, you multiply the numerator and denominator, or in this case
Which can be simplified to:
Hope this helps.