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lawyer [7]
3 years ago
7

Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22

, ... d =?​
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
<h3>Answer:  d = -8</h3>

==========================================================

Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

  • term2 - term1 = 2-10 = -8
  • term3 - term2 = -6-2 = -8
  • term4 - term3 = -14-(-6) = -14+6 = -8
  • term5 - term4 = -22-(-14) = -22+14 = -8

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

  • 10-8 = 2
  • 2-8 = -6
  • -6-8 = -14
  • -14-8 = -22
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A variable is normally distributed with mean 6 and standard 2 deviation .
Tju [1.3M]

The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.

<h3>What is a normal distribution?</h3>

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

A.) The percentage of all possible values of the variable that lie between 5 and 9.

P(5<X<9) = P(X<9) - P(5<X)

               = P(z<1.5) - P(-0.5<z)

               = 0.9332 - 0.3085

               = 0.6247

               = 62.47%

B.) The percentage of all possible values of the variable that exceed 1.

P(X>1) = 1 - P(X<-2.5)

          = 1-0.0062

          = 0.9938

          = 99.38%

C.) The percentage of all possible values of the variable that are less than 4.

P(X<4) = P(X <4)

           = P(z<-1)
           = 0.1587

           = 15.87%

Learn more about Normal Distribution:

brainly.com/question/15103234

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8 0
2 years ago
in the given image AB and CD are parallel with the transversal DB Which of the following angles are congruent to DBA select the
Dovator [93]

Answer:

∠EDC and ∠FDB    

Step-by-step explanation:

I just took test

Also please make me Brainliest

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3 years ago
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Fofino [41]

Answer:

Step-by-step explanation:

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5 0
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Read 2 more answers
Pls help
loris [4]

Answer:  

y = 4x² -19x -5

Step-by-step explanation:  

When you graph it (or use an appropriate tool), it can help us to figure out that the equation is:

y = 4x² -19x -5

(Quadratic regression = the process of determining the equation of a parabola that best fits a set of data)

<em>Hope this helps, have a nice day :D</em>

8 0
3 years ago
What is the reference angle for -144 degrees
Alexandra [31]
To find the reference angle for 144 you subtract 144 from 180 and  that how you get your answer
180-144= 36*
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