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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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WITCHER [35]

Answer: A = 4    P = π     PS = -π/2

<u>Step-by-step explanation:</u>

y = A sin(Bx - C) + D      where

  • A is the amplitude
  • Period = 2π/B
  • Phase Shift = C/B
  • D is the vertical shift

Given:  y = -4 sin(2x + π) - 3

  • A (amplitude) = 4      <em>the negative sign is a reflection, not amplitude</em>
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  • D = -3

Amplitude = 4

\text{Period}=\dfrac{2\pi}{B}\quad =\quad \dfrac{2\pi}{2}\quad =\quad \pi

\text{Phase Shift}=\dfrac{C}{B}\quad =\quad \dfrac{-\pi}{2}\quad =\quad -\dfrac{\pi}{2}

4 0
3 years ago
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of
olchik [2.2K]

Answer:

Fraction of the garden used =  \frac{5}{8}

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  \frac{1}{2} + \frac{1}{8}

The LCM of 2 and 8 is 8

Fraction of the garden used =  \frac{4 +1}{8}

Fraction of the garden used =  \frac{5}{8}

Therefore, the butterflies used \frac{5}{8} fraction of the garden.

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77julia77 [94]

Answer:

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Step-by-step explanation:

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here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

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Therefore, Average rate of change = 3

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