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3 years ago

Find the median of the following set of data:

Mathematics

1 answer:

Troyanec [42]3 years ago

3 0

Answer:

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

↑

The median of the data set is 57 → b

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Plz hurry!!!! thank you!!!!

RoseWind [281]

Answer:

$m\angle KLM=53.13^o$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

$KO=MO=r=5\ units$

$KM=8\ units$

Applying the law of cosines

$8^2=5^2+5^2-2(5)(5)cos(KOM)$

$64=50-50cos(KOM)$

$50cos(KOM)=50-64$

$50cos(KOM)=-14$

$cos(KOM)=-14/50$

$m\angle KOM=cos^{-1}(-14/50)$

$m\angle KOM=106.26^o$

step 2

Find the measure of the arc KM

we know that

$arc\ KM=m\angle KOM$ ----> by central angle

we have

$m\angle KOM=106.26^o$

$arc\ KM=106.26^o$

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising

$m\angle KLM=\frac{1}{2}[arc\ KM]$

we have

$arc\ KM=106.26^o$

substitute

$m\angle KLM=\frac{1}{2}[106.26^o]$

$m\angle KLM=53.13^o$

7 0

3 years ago

I NEED THIS ASAP Are two regular hexagons always congruent? Explain your answer

Scorpion4ik [409]

The two regular hexagons could have different side lengths, so they will not necessarily always be congruent, but they will always be similar.

8 0

3 years ago

Read 2 more answers

What choices are equivalent to the quotient below ?

pshichka [43]

OPTION A , C,D

are the correct choices because all of them are equal to √5

4 0

2 years ago

What is 15=-3y+21x in slope intercept form?

sweet [91]

Slope intercept form = Y = Mx + B

15 = -3y + 21x

3y = 21x - 15

Y = 21/3 X - 15/3

Y = 7x - 5 = SI Form

7 0

3 years ago

What would it be for this?

amm1812

It would be 41 because its m math

3 0

3 years ago