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eduard
3 years ago
11

Use synthetic division to find the result when 2x3 + x2 + x – 4 is divided by X – 1.

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

2x² + 3x + 4

Step-by-step explanation:

Using synthetic division to divide by x - 1

  1 |   2   1   1   - 4

        ↓   2  3    4

     ---------------------

         2  3   4   0 ← remainder = 0

        -----------

            ↑ quotient

quotient = 2x² + 3x + 4

       

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Using the circle below, determine the coordinates of the center and the length of the radius
lidiya [134]
(3,2) is the center and the radius is 2. You can see this by taking where the dot is in the graph (in this case (3,2)) that is your middle, while the radius is one half of the circle, basically how many points are between the circle and the dot. Hope this helps!
5 0
3 years ago
A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are a
Vesna [10]

Answer:

N = 9

M = 87.11

Step-by-step explanation:

According to the situation, the data provided and the solution are as follows

The scores for the student in the classroom is

= 88 88 92 88 88 72 96 88 84

The different student's number of scores is 9

The solution of new n and M is shown below:-

Sample size (n) = 9

Sample mean (m) is

= \frac{Sum\ of\ all\ data\ values}{Sample\ size}

= \frac{88 + 88 + 92 + 88 + 88 + 72 + 96 + 88 + 84}{9}

= \frac{784}{9}

= 87.11

3 0
3 years ago
Please help, round to the nearest thousandth
laiz [17]

Answer:

75.398

Step-by-step explanation:

8 0
3 years ago
What is an example of when you would want consistent data and, therefore, a small standard deviation?
steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

\bar X=\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

8 0
3 years ago
I need help with this I don’t understand
klasskru [66]

Answer:

Step-by-step explanation:

∠3 = 180 - ∠1      {linear pair}

     = 180 - 105

      = 75°

∠2 = ∠3    {Corresponding angles"

∠2 = 75

5 0
2 years ago
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