the names of nine boys and two girls are in a hat. what is the probability of first drawing a girls name and then a boys name fr
2 answers:
<h2>Answer:</h2>
The probability of first drawing a girls name and then a boys name from the hat is:
It is given that:
The names of nine boys and two girls are in a hat.
This means that the total number of names in the hat are: 9+2=11.
Also, the probability of first drawing a girls name and then a boys name from the hat is given by:
Probability of drawing a girl name×Probability of drawing a boy name.
Also, the drawing of names is done without replacement.
Hence, we get probability as:
The probability is:
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Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by