Last summer,at a camp,the ratio of the number of boy campers to girl campers is 9:6.If there is 225 campers,how many boy campers
1 answer:
Answer: There were 135 boy campers and 90 girl campers.
Step-by-step explanation:
Let be "b" the number of boys campers and "g" the number of girl campers.
Given the following ratio of the number of boy campers to girl campers:
We know that for every 9 boys campers there were 6 girl camper; if we add them we get this sum:
Knowing that there were a total of 225 campers, we can set up the following proportion in order to find the value of "b". Then, solving for "b" we get:
Finally, we get that the number of girl campers was:
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The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?
The above equation can further be written as:
New mean =
= 66.09
Therefore, the new mean is 66.09
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
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d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
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