Solve the System of Equations below using Substitution or Elimination
-4x – 4y = 0
4x + 4y = 0

Answer:

[tex]Range = 7[/tex]

[tex]s^2 = 3.53[/tex] -- Variance

[tex]s = 1.88[/tex] --- Standard Deviation

No, it can not be used

Step-by-step explanation:

Given

I'll use the data in the attachment to answer the question.

(a) Range:

[tex]Range = Highest - Lowest[/tex]

From the attached data.

[tex]Highest = 10[/tex]

[tex]Lowest = 3[/tex]

So:

[tex]Range = 10 - 3[/tex]

[tex]Range = 7[/tex]

(b) Variance:

We start by calculating the mean:

[tex]\overline x = \frac{\sum x}{n}[/tex]

[tex]\overline x = \frac{5 + 8 + 3 + 8 + 6 + 10 + 3 +......+ 8+8+7}{26}[/tex]

[tex]\overline x = \frac{171}{26}[/tex]

[tex]\overline x = 6.58[/tex] --- approximated

The sample variance is then calculated using:

[tex]s^2 = \frac{\sum(x_i - \overline x)^2}{n-1}[/tex]

This gives:

[tex]s^2 = \frac{(5-6.58)^2+(8-6.58)^2+(3-6.58)^2+(8-6.58)^2+..............+(8-6.58)^2+(8-6.58)^2+(7-6.58)^2}{25-1}[/tex]

[tex]s^2 = \frac{88.3464}{25}[/tex]

[tex]s^2 = 3.53[/tex]  --- approximated

(c) Standard Deviation.

This is calculated as:

[tex]s = \sqrt{s^2[/tex]

Substitute 3.53 for [tex]s^2[/tex]

[tex]s = \sqrt{3.53}[/tex]

[tex]s = 1.88[/tex] --- approximated

(d) No, it can not be used because the selected sample is too small to represent the total population and as such the result of the measure of variations can not be used.

Answer:

4

Step-by-step explanation: add 10 with 4 then subtract 10

Answer:

9 cookies

Step-by-step explanation:

36 - 18 = 18

18 - 9 = 9

Hope that helps!

Answer:

3y=-x+9

y=1/3x+3

Step-by-step explanation:

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

Answer:

the answer is B

Step-by-step explanation:

Answer:

By solving them of course ;-;

Answer: that depends on the qyestion

Answer:

56 degrees

Step-by-step explanation:

Hope this helps

Answer:

124 degrees

Step-by-step explanation: I added them both together

Answer:

I am you helper

Step-by-step explanation:

Answer:

d.16

Step-by-step explanation:

Answer: the last one

Step-by-step explanation:

Answer:

2 7/24

Step-by-step explanation:

Answer:

Step-by-step explanation: 6

Answer:

the piont was 10.15 away from the that is dead see yea

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

Answer:

39.5

Step-by-step explanation:

Answer:

9.y=Mx+b

   Y= 2/5x+4

10. y=Mx+b

     Y=4x-5

Step-by-step explanation:

Answer:

9) [tex]y=\frac{2}{5} x+4[/tex]

10) [tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.

Question 9

[tex]y=mx+b[/tex]

The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].

[tex]y=\frac{2}{5} x+b[/tex]

Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].

[tex]y=\frac{2}{5} x+4[/tex]

Question 10

[tex]y=mx+b[/tex]

First, we must calculate the slope using the slope equation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

The given points are (0,-5) and (2,3). Plug those into the equation.

[tex]\frac{3-(-5)}{2-0}[/tex]

Two negatives make a positive

[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]

Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].

[tex]y=4x+b[/tex]

Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].

[tex]y=4x+(-5)\\y=4x-5[/tex]

I hope this helps!

Answer:

4x+10

Step-by-step explanation:

Slope form: mx+b

Slope formula: y2-y1/x2-x1

(2, 18) (3,22)

22-18=4

3-2= 1

4/1=4

4x+10

Answer:

12=9

Obviously

.................

Answer:

-1

Step-by-step explanation:

What ever number is in front of x that is the answer. If there is only a x then it means 1.

Answer:

Step-by-step explanation:

(x,y)=(5,4)

Answer:

x = 21 and y = 3

Step-by-step explanation:

We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:

One number is six more than five times another number.

x = 5 y + 6

the sum of the numbers is 24

x + y = 24

solve for x in the second equation:

x = 24 - y

Use this to replace x in the first equation:

24 - y = 5 y + 6

add y to both sides

24 = 6 y + 6

subtract 6 from both sides to isolate the term in y

18 = 6 y

divide both sides by 6

y = 3

And now we can find x using:

x = 24 - y = 24 - 3 = 21

Therefore, x = 21 and y = 3

Answer:

is 10,800

Step-by-step explanation: you multiply 1,200 x 9

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

Answer:

30 is the ratio

Step-by-step explanation:

-_-

Answer:

B

Step-by-step explanation:

the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself