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garik1379 [7]
3 years ago
9

Which of the following numbers in the data set is an outlier? 21, 23, 19, 25, 83, 23, 21

Mathematics
1 answer:
postnew [5]3 years ago
6 0

The outlier in this set of data is 83.

The outlier in a data set is any number that is <em>much </em>higher or lower than the average of the set.

83 is nowhere near the average of 23 in this set, and so it is the sole outlier.

Hope this helps!

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On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
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Each square would be about 0.78 by 0.78

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Anna said that the product of 7/8x 1/2=7/2
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Which mixed number is equivalent to the improper fraction 55/4
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Use the definition mtan=lim
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(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.

(b) The equation of the tangent line is then <em>y</em> = 9.

4 0
2 years ago
In triangle ABC, with right angle B, side AB is 18 units long and side AC is 23 units long. What is the length of side BC,
mihalych1998 [28]

Answer:

BC ≈ 14 units

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

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BC² + 18² = 23²

BC² + 324 = 529 ( subtract 324 from both sides )

BC² = 205 ( take square root of both sides )

BC = \sqrt{205} = 14.317.. ≈ 14 units ( to the nearest unit )

6 0
2 years ago
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