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Natasha2012 [34]
3 years ago
14

A school wants to add a new sports team. The school sent out surveys asking for the​ students' favorite sport. Twelve students n

amed lacrosse. Others named swimming or volleyball. Explain how to use the circle graph and ratios to find the number of students surveyed. Then find this number.
Swimming 36%
Lacrosse 48%
Volleyball 16%

Please help. :(
Mathematics
2 answers:
Valentin [98]3 years ago
7 0

Answer:

Total 100% or 25 students

Swimming 36%  or 9 students

Lacrosse 48%  or 12 students

Volleyball 16% or 4 students

Step-by-step explanation:

To do a circle graph, you draw a circle and divide it into all sections.

To know the size of each section, you need to know the total number of every category.

You could draw it with percent.

100% is total, and you know the percent of each sport.

They told you 12 students choose lacrosse so, this represents 48%.

Now, you can find the other numbers with cross-multiplication.

48%____12

100%____X=

X=(100x12)/48=25

Total students: 25

Students that named lacrosse: 12 or 48%

100%____25

16%____X=

X=(16x25)/100=4

Students that named Volleyball: 4 or 16%

100%____25

36%____X=

X=(36x25)/100=9

Students that named Swimming: 9 or 36%

To confirm: 12 + 9 + 4 = 25

rjkz [21]3 years ago
3 0
Divide 100 by 48 and you should get how many people per percent, then multiply by 100 and boom.
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ivann1987 [24]

Answer:

\left[\begin{array}{ccc}1&0\\0&4\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\3\end{array}\right]

Step-by-step explanation:

A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.

When given the following system:

y = 5

4x = 3

One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).

y + 0x = 5

0y + 4x = 3

Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).

\left[\begin{array}{ccc}1&0\\0&4\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\3\end{array}\right]

7 0
4 years ago
On a test, wrong answers are worth -5.25 points and right answers are worth 3.5 points. So far, Marshall has one right answer an
slamgirl [31]

Answer:

-5.25 + 3.5 = -1.75

Step-by-step explanation:

This can technically be done two ways. The first is the most simplified, and the second less simplified, and less likely to get the best grade.

1.So long as you don't have to order it chronologically, you should be good with this one: -5.25+3.5=-1.75

2.This one IS chronological (she got a correct answer, then a wrong answer), but you can NOT simplify it, because it asks for an addition equation: 3.5+(-5.25)=-1.75

The best option is probably #1

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artcher [175]
Sin(A+B) = SinACosB + CosASinB
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Note pi is taken as pi radians = 180 degrees.    Cospi = Cos180 = -1.
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Cos(A+pi) = CosACospi - SinASinpi =  (CosA) * (-1) - (SinA) *(0) = -CosA.
Sin(A+pi) = SinACospi + CosASinpi  =  (SinA)* (-1) + (CosA) * (0) = -SinA.

Cos(A+pi) - Sin(A+pi) = -CosA - -SinA = -CosA + SinA = SinA  - CosA.

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4 years ago
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kicyunya [14]

Answer:

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Step-by-step explanation:

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  so each interior angle = 1620 / 11 = 147.2727

     angle 1  is 180 - 147.2727 = 32.72 degrees

3 0
2 years ago
Read 2 more answers
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