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adell [148]
2 years ago
9

Below is how many wild unicorns live in each of the six enchanted forests on Mystical Island.

Mathematics
1 answer:
zlopas [31]2 years ago
5 0

Answer:

The histogram of the data is attached below.

Step-by-step explanation:

A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.

The data provided is:

X   Frequency

1           12

2           3

3           7

4           9

5          18

6          14

The histogram of the data is attached below.

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One factor of the polynomial x^3 − 7x^2 + 13x − 3 is (x − 3). What is the other factor of the polynomial? (Note: Use long or syn
Elden [556K]

Answer:

Option (B)

Step-by-step explanation:

Given polynomial in the question is,

x³ - 7x² + 13x - 3

One factor of the polynomial is (x - 3).

That means x = 3 is a zero factor of the polynomial.

For the other factor,

By using synthetic division,

3 |   1         -7           13           -3

 

   <u>               3           -12          3   </u>

     1          -4            1            0

= (x² - 4x + 1)(x - 3)

Therefore, the other factor of the polynomial is (x² - 4x + 1).

Option (B) will be the answer.

5 0
1 year ago
What is the sum of the rational expressions below?<br> 3x-1/2x + 3x/x-1
Elden [556K]
In order to find the sum of the given rational expressions above, here are the steps.
Firstly, you need to find the LCM of the least common denominator.
So it would look like this: 
<span>3x-1 +   3x            (3x-1)(x-1) + (2x)(3x)
------    -------    =    ---------------------------
  2x       x-1                  2x(x-1)

3x^2-4x+1+6x^2
----------------------
    2x(x-1)
And the final result would be this:
9x^2-4x+1
--------------
  2x(x-1)

</span>9x^2-4x+1
--------------
  2x^2-2x
<span>
Hope that this is the answer that you are looking for. 

</span>
6 0
1 year ago
Read 2 more answers
The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as
Troyanec [42]

They could have assembled total 336 different possible crews.

<em><u>Explanation</u></em>

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.

Number of ways for choosing 2 pilots from 9 = ^9C_{3} =84 and

Number of ways for choosing 1 geologist from 4 =^4C_{1}= 4

So, the total possible number of different crews they could have assembled =84*4= 336

8 0
2 years ago
Line jk passes through points j(-4,-5) and k(-6,3 if the equation of the lines is written in slope-intercept form,y=my+b what is
lidiya [134]
Written in 2-point form, the equation of the line is
  y = (y2-y1)/(x2-x1)·(x-x1) +y1
  y = (3-(-5))/(-6-(-4))·(x-(-4)) + (-5)
  y = 8/-2·(x +4) - 5
  y = -4x -21

The value of b is -21.

6 0
2 years ago
Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their
4vir4ik [10]

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

7 0
2 years ago
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