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3 years ago

Find a + b, 2a + 3b, |a|, and |a − b|. a = 4i + j, b = i − 2j

Mathematics

1 answer:

bogdanovich [222]3 years ago

4 0

Add the component i apart and the compents j apart

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Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

8 0

3 years ago

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of

Juli2301 [7.4K]

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

5 0

3 years ago

Write the decimal 2.91 as a fraction or mixed number,

patriot [66]

Answer:

291/100

Step-by-step explanation:

3 0

3 years ago

2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles. In the diagram

solmaris [256]

Answer:

Its B and D

Step-by-step explanation:

7 0

2 years ago

Simplify.

TiliK225 [7]

Answer:

53.8

Step-by-step explanation:

45+8= 8

then add the decimal 0.0+0.8= 0.8

53.8

4 0

1 year ago

Read 2 more answers