1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
11

Find the range and the interquartile range of the given data set. 2, 4, 7, 8, 16, 19, 21

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
The range for the data given is 11
You might be interested in
Petro was given this system of equations. -14x-2y=24 14x+8y=-12
Svetllana [295]

Pedro made mistake in step 3.

He supposed to plug in y = 12 into the y in the equation to solve for x

Should be:

-14x - 2(2)=24

-14x - 4 = 24

-14x = 28

    x = -2

4 0
4 years ago
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
sergiy2304 [10]
Answer:

T = 2w + 37

Step-by-step explanation:

Let T represent the total amount of videos Rachel has after w weeks

Rachel already owns 37 videos

She purchases 2 more each week

Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:

2w + 37

Then the total after w weeks can be modeled by the equation:

T = 2w + 37

8 0
3 years ago
Use the drawing tools to form the correct answer on the graph
DIA [1.3K]

Step-by-step explanation:

answer is in photo above

3 0
3 years ago
Lines g and h are parallel and m 2 = 118°.
irina [24]
A-62 i believe hope it's right
7 0
4 years ago
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
Other questions:
  • Luxury Limousine charges $50, plus $1.25 per mile, plus
    6·1 answer
  • BRAINLIEST TO FIRST CORRECT! Please help!
    9·1 answer
  • Based on a​ poll, among adults who regret getting​ tattoos, 27​% say that they were too young when they got their tattoos. Assum
    11·1 answer
  • I WILL AWARD BRAINLIEST FOR WHOEVER GIVES ME ANSWER AND WORKING OUT!!!
    12·2 answers
  • Guys can you plz help me Answer this QUESTION!!!!!!
    12·1 answer
  • Mrs. Benton is making food baskets for the homeless. There are 60 cans of beans and 48 cans of tuna available to be divided equa
    8·1 answer
  • I really need help with this please :o
    5·1 answer
  • A pizza place offers two types of crust: deep dish or thin crust and 4 toppings: pepperoni, just cheese, veggies, and sausage.
    7·1 answer
  • 550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,
    10·1 answer
  • From this year to ten years, the number of people employed as physician assistants in the country is expected to increase by 39%
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!