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Dovator [93]
3 years ago
9

Which data set is the most clustered around its mean? 4, 10, 8, 6 11, 3, 10, 4 2, 9 ,13, 4 11, 2, 9, 6

Mathematics
2 answers:
malfutka [58]3 years ago
7 0

Answer:

the correct answer is a

PLS MARK BRAINLIEST

Step-by-step explanation:

Alisiya [41]3 years ago
3 0

Answer:

A

Step-by-step explanation: i just redid the test on edge

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The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry
Paul [167]

Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.

<h3>How to determine the equation of the triangle's line of symmetry?</h3>

First of all, we would determine the midpoint where the line of symmetry passes through points A and B:

Midpoint at point A = (3 + 7)/2 = 10/2 = 5.

Midpoint at point B = (6 + 2)/2 = 8/2 = 4.

Point D = (5, 4)

Mathematically, the standard equation of a line is given by y = ax + b.

D(5, 4); 4 = 5a + b   ....equation 1.

C(4, 3); 3 = 4a + b    ....equation 2.

Subtracting eqn. 2 from eqn. 1, we have:

1 = a

Next, we would find the value of b:

4 = 5a + b

4 = 5(1) + b

b = 4 - 5

b = -1.

Therefore, the equation of the triangle's line of symmetry is given by:

y = ax + b

y = x(1) + (-1)

y = x - 1.

Read more on line of symmetry here: brainly.com/question/10152876

#SPJ1

5 0
2 years ago
PLEASE HELP!!! FAST M∠GHI=98°and m∠JKL=82°.<br> Which statement is true about ∠GHIand​ ∠JHK
Aleks04 [339]
GHI and JHK can be assumed to be on the same line/plane. The two angles add to be 180 degrees, meaning the line that connects them (I'm assuming GHK) is a straight line of 180 degrees. 
6 0
3 years ago
Read 2 more answers
A student claims that 2i is the only imaginary root of a polynomial equation that has real coefficients. Explain the student's m
____ [38]

Answer:

The Fundamental Theorem of Algebra assures that any polynomial  f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i

Step-by-step explanation:

1) This claim is mistaken.

2) The Fundamental Theorem of Algebra assures that any polynomial  f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i with real coefficients.

a_{0}x^{n}+a_{1}x^{2}+....a_{1}x+a_{0}

For example:

3) Every time a polynomial equation, like a quadratic equation which is an univariate polynomial one, has its discriminant following this rule:

\Delta < 0\\b^{2}-4*a*c

We'll have <em>n </em>different complex roots, not necessarily 2i.

For example:

Taking 3 polynomial equations with real coefficients, with

\Delta < 0

-4x^2-x-2=0 \Rightarrow S=\left \{ x'=-\frac{1}{8}-i\frac{\sqrt{31}}{8},\:x''=-\frac{1}{8}+i\frac{\sqrt{31}}{8} \right \}\\-x^2-x-8=0 \Rightarrow S=\left\{\quad x'=-\frac{1}{2}-i\frac{\sqrt{31}}{2},\:x''=-\frac{1}{2}+i\frac{\sqrt{31}}{2} \right \}\\x^2-x+30=0\Rightarrow S=\left \{ x'=\frac{1}{2}+i\frac{\sqrt{119}}{2},\:x''=\frac{1}{2}-i\frac{\sqrt{119}}{2} \right \}\\(...)

2.2) For other Polynomial equations with real coefficients we can see other complex roots ≠ 2i. In this one we have also -2i

x^5\:-\:x^4\:+\:x^3\:-\:x^2\:-\:12x\:+\:12=0 \Rightarrow S=\left \{ x_{1}=1,\:x_{2}=-\sqrt{3},\:x_{3}=\sqrt{3},\:x_{4}=2i,\:x_{5}=-2i \right \}\\

4 0
3 years ago
Find the value of x. x-4=3/4x
Fudgin [204]

Answer:

x = 16.

Step-by-step explanation:

x - 4 =  3/4 x

x - 3/4 x = 4

1/4 x= 4

x = 4*4

x = 16 (answer).

8 0
3 years ago
Enter the value of x that makes the given equation true <br><br>12x = 3
anyanavicka [17]

Answer:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  12x - 3  =   3 • (4x - 1)  

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    4x-1 = 0  

Add  1  to both sides of the equation :  

                     4x = 1  

Divide both sides of the equation by 4:

                    x = 1/4 = 0.250  

One solution was found :

                  x = 1/4 = 0.250


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
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