A survey was conducted with high school students in each grade to see how many participate in sports. The data are shown below.
2 answers:
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Answer:
P = 47.32
Step-by-step explanation:
This triangle is a special triangle. Because it is 30-60-90 it will have measurements similar to . If the longest side is 20 then it corresponds to 2. This means the shortest side of 1 corresponds to half this or 10.
So the triangle will have sides .
To find the perimeter add all these lengths.
Answer:
5
Step-by-step explanation:
The nth term of the geometric sequence is
In general the nth term of a geometric sequence is
By comparism;
is the common ratio of the sequence.
Or
Common ratio is
Answer:
a)109 of the surveyed households only own a hand gun and do not support the ban on hand guns.
b)328 of the surveyed households do not own a gun and support the ban on hand guns
c )112 of the surveyed households do not own a gun and do not support the ban on handguns.
Step-by-step explanation:
To solve this problem, we must build the Venn's Diagram of this set.
I am going to say that:
-The set A represents those who own a hand gun.
-The set B represents those who own a rifle
-The set C represents those who support the ban of handguns.
-D represents those who do not own a gun and do not support the ban on hand guns.
We have that:
In which are those that only own a hand gun,
are those who own both a handgun and a rifle,
are those who own a hand gun and support the ban on handguns, and
are those who own both a hand gun and a rifle, and also support the ban on hand guns.
By the same logic, we have:
In which are those who only own a rifle, and
are those who own a rifle and support the ban on handguns.
In which are those who support the ban on hand guns and do not own any handguns.
This diagram has the following subsets:
There were 1000 households surveyed, so:
We start finding the values from the intersection of three sets.
Solution:
48 own both a hand gun and a rifle and also support the ban on hand guns.
70 own a hand gun and support the ban on hand guns:
206 own a rifle but no hand gun and do not support the ban on hand guns.
.
136 own both a hand gun and a rifle:
493 supported the ban on hand guns.
437 own a rifle:
267 own a hand gun:
a) How many of the surveyed households only own a hand gun and do not support the ban on hand guns?
This is the value of , that we can find from the following equation:
109 of the surveyed households only own a hand gun and do not support the ban on hand guns.
b) How many of the surveyed households do not own a gun and support the ban on hand guns?
This is the value of , that we can find from the following equation:
Here, we also have to find , that are those who own a rifle and support the ban on hand guns. We can find this from the following equation:
So
328 of the surveyed households do not own a gun and support the ban on hand guns.
a) How many of the surveyed households do not own a gun and do not support the ban on hand guns?
This is the value of d, that can be found from the following equation:
112 of the surveyed households do not own a gun and do not support the ban on handguns.