Find the common difference of the arithmetic sequence. 6,9.4,12.8,16.2

1 answer:

8 0

A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.

This sequence is arithmetic, because the difference between every element and the previous one is

$9.4 - 6 = 3.4$
$12.8 - 9.4 = 3.4$
$16.2 - 12.8 = 3.4$

So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4

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Maria records random speeds from three different Internet providers in the table. Provider Download Speed (megabits per second)

Igoryamba

Answer:

<em>Able Cable </em>

Step-by-step explanation:

<u>Mean Value of Samples</u>

It's central tendency statistics measure that gives one representative value out of a complete dataset. It can be computed as the sum of the values by the number of values:

$\displaystyle \bar x=\frac{\sum x_i}{n}$

We need to evaluate the mean value of the three internet providers mentioned in the question.

For CityNet:

$\displaystyle \bar x_1=\frac{3.6+3.7+3.7+3.6+3.9}{5}=3.7$

For Able Cable:

$\displaystyle \bar x_2=\frac{3.9+3.9+4.1+4.0+4.1}{5}=4.0$

And for Tel-N-Net:

$\displaystyle \bar x_3=\frac{3.9+3.7+4.0+3.6+3.8}{5}=3.8$

We can conclude Able Cable offers the fastest mean downloading internet speed

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2 years ago

On a test, leo is asked to completely factor the polynomial 3x3 – 3x 5x2 – 5. he uses double grouping to get (x2 – 1)(3x 5). has

Agata [3.3K]

No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get

(x – 1)(x + 1)(3x + 5).

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2 years ago

Read 2 more answers

A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that angle AD

Valentin [98]

Refer to the diagram shown below.

Let x = m∠ADB.

Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°

Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°

Answer:
m∠BDC = 61°
m∠ADB = 29°