when examining distributions of numerical data, what three components should you look for

Here we are given with a equation:

[tex] {x}^{3} = - 2197[/tex]

And we have to solve it with appropriate steps.

So, let's start solving.

Add 2197 to both sides of the equation,

[tex] {x}^{3} + 2197 = - 2197 + 2197[/tex]

[tex] {x}^{ 3} + 2197 = 0[/tex]

Now, using the identity:

Let's proceed further.

x³ is the cube of x and 2197 is the cube of 13

[tex](x) {}^{3} + (13) {}^{3} = 0[/tex]

[tex](x + 13)( {x}^{2} - x \times 13 + {13}^{2} ) = 0[/tex]

[tex](x + 13)( {x}^{2} - 13x + 13) = 0[/tex]

Now,

So, x = -13

And, for the second let's use the discriminate formula,

➝ D = b² - 4ac

➝ D = (-13)² - 4(1)(13)

➝ D = 169 - 52

➝ D = 117

Now, using the D. formula,

[tex]x = \dfrac{ - b \pm \sqrt{ D} }{2a} [/tex]

[tex]x = \dfrac{13 \pm \sqrt{117} }{2} [/tex]

[tex]x = \dfrac{13 \pm 3 \sqrt{13} }{2} [/tex]

So the roots of the equation are:

[tex]{ \boxed{ \bf{x = - 1 ,\: \frac{13 + 3 \sqrt{13} }{2} and \: \frac{13 - 3 \sqrt{13} }{2} }}}[/tex]

And we are done !!

#CarryOnLearning

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Answer:

7/14+6/14=13/14

Step-by-step explanation:

find the common denominator(14)

change both fractions

1/2*7/7(2*7=14)=7/14

3/7*2/2(7*2=14)6/14

then add.

Answer:

yah

Step-by-step explanation:

Answer:

The price yesterday was 650

Step-by-step explanation:

X is the price yesterday

There is a 26% discount

That means today we pay 100 -26 = 74 %

x* 74% = 481

.74x = 481

Divide each side by .74

.74x/.74 = 481/.74

x = 650

The price yesterday was 650

Answer:

Step-by-step explanation:

Answer:

Alicia is correct because....

Step-by-step explanation:

12 - 4 = 8 + 3 = 11

Answer:

5.9

Step-by-step explanation:

Answer:

5 9/10

Step-by-step explanation:

this is how you would write it in standard form

Answer:

y = x/w

Step-by-step explanation:

1) We have to isolate y

2) An easy way to do this is to switch the places of y and w since we are just solving for y

3) Therefore, the answer is y = x/w

Hope this helps!

A percentage is given by dividing a given value by a total and multiplying the result by 100

The percentage of the dartboard occupied by the bullseye is approximately 1.963 %

Reason:

The given parameters are;

The area of the dartboard, A = 1,600 cm²

The location of the center of the bullseye = (0 cm, 0 cm)

The coordinates of a point on the circumference = (√3 cm, √7 cm)

Question: Possible question with regards to the given parameter; The percentage of the dartboard covered by the bullseye

Solution;

The radius of the bullseye, r = [tex]\sqrt{(\sqrt{3})^2 + (\sqrt{9})^2} = \sqrt{10}[/tex]

The area of the bullseye, [tex]A_b[/tex] = π· r² = π × [tex](\sqrt{10})^2[/tex] = 10·π

∴ The area of the bullseye, [tex]A_b[/tex] = 10·π cm²

The percentage area is given as follows;

[tex]Percentage \ area = \dfrac{A_b}{A} \times 100[/tex]

Therefore;

[tex]Percentage \ area \ occupies \ by \ bulleseye = \dfrac{10 \cdot \pi}{1,600} \times 100 \approx 1.963 \%[/tex]

The percentage of the dartboard occupied by the bullseye ≈ 1.963 %

Learn more about percentage area here:

https://brainly.com/question/11642822

Answer:

2%

Step-by-step explanation:

Should be Choice B

Answer: =512,628,473

Step-by-step explanation:

Answer:

416251

Step-by-step explanation:

I used a calculator

Answer:

9

Step-by-step explanation:

13-4=9

9+4=13

Hey there!☺

[tex]Answer:\boxed{x=9}[/tex]

[tex]Explanation:[/tex]

[tex]x+4=13[/tex]

To find x, subtract 13 by 4.

[tex]13-4=9[/tex]

Let's try substituting 9 for x to see if we get 13.

[tex]x+4=13\\9+4=13[/tex]

[tex]x=9[/tex]

Hope this helps!

(x - 2)(x - 5)(x - k) >= 0

Let's set each term equal to 0

x - 2= 0

Add 2 to both sides

x = 2.

x - 5 = 0

Add 5 to both sides

x = 5

x - k = 0

Add k to both sides

x = k

Since x = 2 and 5, k = 2, 5

Let's plug our numbers into the inequality.

(2 - 2)(2 - 5)(2 - 2) >= 0

(0)(-3)(0) >= 0

0>=0

(5 - 2)(5 - 5)(5 - 5) >= 0

(3)(0)(0) >= 0

0 >= 0

This proves that 2 and 5 are equal to k

Answer:

Give the full question

Answer:

Step-by-step explanation:

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

Average or mean score:

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

Answer:

b. x=2

Step-by-step explanation:

Step 1- Move the variable to one side.

12x-8= 3x+10

-3x     -3x

9x-8= 10

Step 2- Add 8 to both sides.

9x-8= 10

  +8   +8

9x= 18

Step 3- Divide to both sides.

9x= 18

9     9

x= 2

Answer:

[tex]C = 2\pi r\\[/tex]

Step-by-step explanation:

[tex]Circumference = 2\times \pi \times r[/tex]

Let the missing value = x

Slope is the change in y over the change in x:

3 = (x-2)/ (8-3)

3 = (x-2) / 5

Multiply both sides by 5:

15 = x-2

Add 2 to both sides:

X = 17

The missing coordinate is 17

Answer:

-3 plates

Step-by-step explanation:

Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.

Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

[tex]\frac{36mi}{6cm}=\frac{x}{4.5cm}[/tex]

Where x is the real length of great oaks trail ⇒

[tex]x=\frac{(36mi).(4.5cm)}{6cm}=27mi[/tex]

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

[tex]\frac{24mi}{3cm}=\frac{y}{3.5cm}[/tex]

Where y is the real length of salamander trail ⇒

[tex]y=\frac{(24mi).(3.5cm)}{3cm}=28mi[/tex]

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.

Answer:

-x - 27/ 9 this is it djdjdj

The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression

[tex]\frac{5(x-3)-3(2x+4)}{9}[/tex]

⇒ (5x - 15 - 6x - 12) ÷ 9

⇒  (-x - 27)/9

⇒ [tex]\frac{-x-27}{9}[/tex]

Hence "The simplest form of the expression  [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

-110601

Step-by-step explanation:

All you have to do is replace the variables with their value. So the equation would look like this,

6(-8)³ - 9

Always solve the parenthesis first ending up with

-48³ - 9

Now the exponents,

-110592 -9

Here we just subtracting getting the answer of...

-110601

Hope that helps and have a great day!

Answer:

79 inches is how tall the door is

Step-by-step explanation:

Answer:

It would be 52

Step-by-step explanation:

You divide 91 by 7 and u get 13 so u multiply that by 4 and u get your answer

Answer:

it is the answer here copy and paste

Step-by-step explanation:

adding and subtracting decimals are different from adding and subtracting whole number because of the values are not going to be the same any more.      

          extra; example 40.04 has hundredths and 4004 has hundreds.

Answer:

The answer is:

In both types of problems you rewrite the problem vertically, line up the decimals, and add zeros or rename where needed.

Step-by-step explanation:

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