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vampirchik [111]
3 years ago
14

Sixty-three people participated in a study to see if they were left-brain dominant or right-brain dominant. In the study, the pe

ople were also asked if they were left-handed or right-handed.
The study revealed that 37 were left-brain dominant. The study also revealed that 21 were right-handed and right-brain dominant. Twenty-two people in the study were left-handed.

Enter your answers in the boxes to complete the two-way table based on the given data.

Mathematics
2 answers:
mamaluj [8]3 years ago
8 0
The completed two-way table is attached.

Since 37 people were left-brain dominant, this leaves 63-37=26 that are right-brain dominant.  21 people were right-handed and right-brain dominant; this means that 26-21=5 people are left-handed and right-brain dominant.

Since 22 people were left-handed, this means 63-22=41 people are right handed.  21 of those people are right-brain dominant; this means that 41-21=20 people are right handed and left-brain dominant.  Using this, we have that 37-20=17 people are left handed and left-brain dominant.

Vedmedyk [2.9K]3 years ago
4 0

I took the test and was able to figure it out myself...

Here are the answers, enjoy!! :)


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A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
3 years ago
35 POINTS AVAILABLE
aliina [53]

Answer:

Part 1) The length of each side of square AQUA is 3.54\ cm

Part 2) The area of the shaded region is (486\pi-648)\ units^{2}

Step-by-step explanation:

Part 1)

<em>step 1</em>

Find the radius of the circle S

The area of the circle is equal to

A=\pi r^{2}

we have

A=25\pi\ cm^{2}

substitute in the formula and solve for r

25\pi=\pi r^{2}

simplify

25=r^{2}

r=5\ cm

<em>step 2</em>

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

SU=r=5\ cm

Let

x------> the length side of the square

Applying the Pythagoras Theorem

5^{2}=x^{2} +x^{2}

5^{2}=2x^{2}

x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

<em>Find the area of the larger circle</em>

The area of the circle is equal to

A=\pi r^{2}    

we have

r=AB=18\ units

substitute in the formula

A=\pi (18)^{2}=324\pi\ units^{2}

step 2

Find the length of each side of square BCDE

we have that

AB=18\ units

The diagonal DB is equal to

DB=(2)18=36\ units

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

36^{2}=x^{2} +x^{2}

1,296=2x^{2}

648=x^{2}

x=\sqrt{648}\ units

step 3

Find the area of the square BCDE

The area of the square is

A=(\sqrt{648})^{2}=648\ units^{2}

step 4

Find the area of the smaller circle

The area of the circle is equal to

A=\pi r^{2}    

we have

r=(\sqrt{648})/2\ units

substitute in the formula

A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}  

step 5

Find the area of the shaded region

324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}

7 0
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Vadim26 [7]

Answer:

I dont think its accepted

Step-by-step explanation:

because 2 out of 3 groups had majority of the people opposing the proposal so I say that it's not accepted.

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