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vodka [1.7K]
3 years ago
7

For questions 1-4, match each scatter plot to the equation that could represent the equation of its trend line.

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0
There’s no picture included
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Х
ivolga24 [154]

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • As there are different roles, the order in which the students are chosen is important, hence, the <em>permutation </em>formula is used to solve this question.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

P_{(n,x)} = \frac{n!}{(n-x)!}

Desired outcomes:

  • Nia's president.
  • For the other roles, 3 students from a set of 23, hence:

D = P_{23,3} = \frac{23!}{20!} = 10626

Total outcomes:

4 students from a set of 24, hence:

T = P_{24,4} = \frac{24!}{20!} = 255024

Then:

p = \frac{D}{T} = \frac{10626}{255024} = 0.0417

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at brainly.com/question/24437717

8 0
2 years ago
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
kow [346]

If the perimeter is 9 inches, each side is 3 inches.

The height of an equilateral triangle splits the triangle in two right sub-triangles: for example, consider a triangle ABC and the height AH starting from A, perpendicular to BC.

The triangle AHC is a right triangle, whose legs are AH and HC, and whose hypotenuse is AC.

AH is half the side, and AC is a side. So, we can use the Pythagorean theorem to find the height:

AH = \sqrt{AC^2-AH^2}=\sqrt{l^2-\dfrac{l^2}{4}}=\dfrac{\sqrt{3}l}{2}

So, the area is

\dfrac{AH\cdot HC}{2} = \dfrac{l\cdot\frac{\sqrt{3}l}{2}}{2} = \dfrac{l^2\sqrt{3}}{4} = \dfrac{9\sqrt{3}}{4}

6 0
4 years ago
Someone help me asap please
denis23 [38]

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

7 0
4 years ago
-4(2 - 4n) -5(3n +6)
balandron [24]
I hope this helps :))))

5 0
3 years ago
2/3(4w+9) Please help
vfiekz [6]
Change the y to w the app didnt have the letter w so i just had to choose another letter

8 0
3 years ago
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