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mars1129 [50]
4 years ago
13

(Please help!! I need answer ASAP) A set of six values have the sane mean, median, and mode. The data values are not all the sam

e. What could the data values and the mean, median, and mode be?
Mathematics
1 answer:
Anna [14]4 years ago
7 0
There are different data sets that have the same mean, median, and mode. Here's the data sets i got:

Set 1: 2,2,2,3,5,5
Set 2: 0,1,2,2,4,10

The mean for the 1st set is:
2+2+2+3+5+5= 19/6=3.1

The mean for the 2nd set is:
0+1+2+2+4+10= 19/6=3.1

The median for the 1st and 2nd set is:
2.5

And the mode (most common number) for the 2 sets is:
2


Hope this helps!! :-)

Sorry if I took to long, it took me awhile to come up with 2 sets that had different numbers, but had the same mean/median/ and mode.

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I suck at math if you could help me with these questions that would be great
docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) h=30\ ft

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

<em>Find the value of x in the larger triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

so

64^o+85^o+x=180^o

149^o+x=180^o

x=180^o-149^o

x=31^o

<em>Find the value of y in the smaller triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

so

26^o+85^o+y=180^o

111^o+y=180^o

y=180^o-111^o

y=69^o

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is 1.5^2=2.25

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

\frac{6}{3}=\frac{h}{15}

solve for h

2=\frac{h}{15}

h=2(15)=30\ ft

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