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Ksivusya [100]
3 years ago
13

How many sides does a polygon have whose total number of diagonals is 20?​

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

there would be <u>8</u><u> </u><u>sides</u> if there are 20 diagonals

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Evaluate function expressions <br><br> 3•f(-4)- 3•g(-2)
MAXImum [283]

Answer:3(-4f-g(to the power of -2)

Step-by-step explanation:

3(-fx4-g(to the power of -2) reorder and get solution.

6 0
3 years ago
Read 2 more answers
Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no
Savatey [412]

Answer:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(16,4)  

Where \mu=16 and \sigma=4

We are interested on this probability

P(12

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

5 0
3 years ago
Find the midpoint of (0,4) and (-4,-12)
ankoles [38]
The answer is (-2,-4) to solve this you need to add the X’s and divide by 2 and that will be your X for the midpoint, you do the same with the Y’s to find the y for your midpoint
5 0
3 years ago
The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
How much do you make annually at 15 dollars an hour 23 hours a week?
ahrayia [7]
You multiply $15 by 23 which is 345. Then you multiply 345 by 52 for there is 52 in a year. The answer $17940.
4 0
3 years ago
Read 2 more answers
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