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Ulleksa [173]
3 years ago
10

Use the data to answer the following questions: 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28

Mathematics
1 answer:
german3 years ago
4 0

Rewrite given data in increasing order:

28, 61, 63, 65, 66, 67, 68, 69, 82, 86, 87

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.  As you can see that number 28 lies an abnormal distance from other values.

Answer A: 28

The mean (or average) of a set of data values is the sum of all of the data values divided by the number of data values.

\text{mean with outlier}=\dfrac{28+61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{11}=67.454545...\approx67.45.

Answer B: 67.45

\text{mean without outlier}=\dfrac{61+63+65+66+67+68+69+82+86+87}{11}=\dfrac{742}{10}=71.4.

Answer C: 71.4

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Lelu [443]
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The direction is α=arctan(y/x)=arctan(12/-7)≈-59.74 however this is relative to the negative x-axis so we add 180° to get the standard angle...180-59.74=120.26°

So the vector is √193 @ 120.26°
5 0
3 years ago
Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5
Norma-Jean [14]

9514 1404 393

Answer:

  (a)  (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

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Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

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8 0
3 years ago
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find
Nezavi [6.7K]

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

 

2(x-8)=3(x+3)

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5 0
3 years ago
Which expression is equivalent to ^
mash [69]

Answer:

Step-by-step explanation:

lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.

120/2=60

120/3=40

120/4=30

we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.

do not forget there is only one x so it must stay in side the  radical.

your answer is 2sqrt(30x)

5 0
3 years ago
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inn [45]

Answer:

no

Step-by-step explanation:

Proportional must go through (0,0)

0 = 2(0) +7

0 = 7

This is not true so this is not proportional

7 0
3 years ago
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