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anzhelika [568]

3 years ago

10

2. Given the data 21, 13, 13, 37, 13, 23, 25, 15:

1 answer:

lisabon 2012 [21]3 years ago

7 0

First let us define what an outlier is:

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.

21, 13, 13, 37, 13, 23, 25, 15

Rearranging the data in ascending order,

13, 13, 13, 15, 21, 23, 25, 37

As we can see 37 is the outlier here as it way too bigger than other numbers.

<u><em>Calculating mean with the outlier:</em></u>

mean is found using the formula:

$mean =\frac{ sum of all the data values}{number of data values }$

number of data values= 8

sum of data values = 13+13+13+15+21+23+25+37=160

Mean = 160/8 = 20

With the outlier mean is 20.

<em><u>Calculating mean without outlier:</u></em>

Number of data values = 7

sum of data values = 13+13+13+15+21+23+25=123

Mean = 123 /7 = 17.57

Mean without outlier is 17.57

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cluponka [151]

Answer: The wingspan is 36 m.

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19/38 = 18/x

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3 years ago

Micah is watching a TV program that is 2 hours long during the program there are six commercials that are each 90 sec. How many

Sergeu [11.5K]

Answer:

111 minutes

Step-by-step explanation:

step 1

Find out how long are the six commercial

Multiply the number of commercials by 90 seconds

so

$90(6)=540\ sec$

Convert to minutes

Remember that

$1\ min=60\ sec$

$540\ sec=540/60=9\ min$

step 2

Subtract the duration of six commercials from the duration of the program

Remember that

$1\ h=60\ min$

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4 0

3 years ago

Principal=$100 rate=5% years=3 what is the interest?

hammer [34]

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

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Interest = 5 x 3

Interest = 15

6 0

3 years ago

Lana draws a triangle( LMN) on the coordinate plane. What is the perimeter of the triangle( LMN)? Round to the nearest unit.

lys-0071 [83]

Answer:

The answer is "25".

Step-by-step explanation:

Please find the graph in the attachment.

$Longest \ side= 12$

Calculating the triangle two other sides:

$=\sqrt{3^2+6^2}\\\\=(9+36)\\\\=45$

let

$\to \sqrt{45}= 6.7.\\\\\to 6.7\times 2=13.4\\\\\to 13.4+12=25.4 \approx 25$

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2 years ago

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

⠀

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago