Answer:
Step-by-step explanation:
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.To calculate combinations the below formula is used:
where 
represents the total number of items and 
represent the number of items being chosen at a time. The '!' represents factorial function which is the product of all integers equal to and less than the given integer. This can be calculated manually using the formula or by using the nCr function on a scientific calculator.
Thus, the number of ways to select 2 freshmen girls (2FG) and 3 freshmen boys (3FB) can be determined. The number of ways to select 5 students (5S) can be determined in the same way.
The probability of selecting 2 freshmen girls (2FG) and 3 freshmen boys (3FB) when selecting 5 students out of 30 is given as below:
The 3 angles of a triangle add up to 180 degrees. If all 3 sides are different in length then the angles are also different.
Its choice 1
The value of the height of the cylinder is 25cm.
According to the statement
we have to find that the height pf the cylinder with the given value of the volume.
So, For this purpose we know that the
The volume of a cylinder is the density of the cylinder which finds that the amount of material it can carry. Cylinder's volume is given by the formula, πr^2h.
From the given information:
The volume of a cylinder is 225π cubic inches, and the radius of the cylinder is 3 inches.
Then
volume = πr^2h
225π = π3^2h
Now, solve it then
225 = 9h
h = 25.
The value becomes 25.
So, The value of the height of the cylinder is 25cm.
Learn more about volume of a cylinder here
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Y = ln |1 + t - t^3| = (1 - 3t^2)/(1 + t - t^3)
