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2 years ago

FIRST ANSWER GETS BRAINLIEST!

Mathematics

1 answer:

rewona [7]2 years ago

8 0

Answer:

The outlier is 3, and the outlier has a greater effect on the mean because it is an average of all numbers where as the median is just the middle value in the data set. Everything else you can do on your own. To find the mean you add all the numbers up and divide by the total amount of numbers there are, the median you just cross one out from the left and then cross one out from the right and continue doing this until you are left with one number, or if you are left with two numbers you can add those two numbers up and then divide them by 2

Step-by-step explanation:

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What is the value of x?

Elden [556K]

Answer:

x = 8

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, thus

x² + 6² = 10²

x² + 36 = 100 ( subtract 36 from both sides )

x² = 64 ( take the square root of both sides )

x = $\sqrt{64}$ = 8

6 0

3 years ago

Someone help me out please

uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

$(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\ (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4$ .

2 step (A): simplify to obtain the final radical term on one side of the equation.

$-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2$ .

3 step (F): raise both sides of the equation to the power of 2 again.

$(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2$ .

4 step (E): simplify to get a quadratic equation.

$4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0$ .

5 step (D): use the quadratic formula to find the values of x.

$D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}$ .

6 step (C): apply the zero product rule.

$x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}$ .

Additional 7 step: check these solutions, substituting into the initial equation.

3 0

3 years ago

The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co

loris [4]

Area of the square is 144m.
Area of the circle is 113.1m.
Subtract A of circle from A of Square which equals 30.9meters. That is your answer.

If you want I can teach you step by step just comment if you want me to...

8 0

3 years ago

Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach

erik [133]

All socks together: 13
Black socks: 3

Probability to pick out black socks: 3/13

After one pick out (You picked out a pair of black socks):

Probability to pick out black socks: 2/12

Multiply them:

2/12 * 3/13 = 1/26 ≈ 0,038

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4 years ago

F(6,2) G(2,4)<br> Write equation in slope intercept form

Ulleksa [173]

Answer:

y = -½x + 5

Step-by-step explanation:

Formula for slope intercept form is y = mx + b

Where m represents the slope and b represents the y intercept

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

Solving for m

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

m = (y2 - y1)/(x2-x1)

y2 = 4, y1 = 2

x2 = 2, x1 = 6

m = (4-2)/2-6)

m = 2/(-4)

m = -½

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

Solving for b

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

Using point F(6,2) as reference

y = 2, x = 6, m = -½

if y = mx + b

Substituting 2 for y and 6 for x in the above equation

2 = -½ * 6 + b

2 = -3 + b

2 + 3 = b

5 = b

b = 5

Using Point G(2,4) as reference

y = 4, x = 2, m = -½

if y = mx + b

Substituting 4 for y and 2 for x in the above equation

4 = -½*2 + b

4 = - 1 + b

4+1 = b

5 = b

b = 5

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

Finally, we have to write the equation in slope form

Using y = mx + b

where m = -½ and b =5 ................ (Calculated)

y = -½x + 5

8 0

3 years ago