the arithmetic mean of a data set is the measure of center ______. (PHOTO INCLUDED)

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

So, O would be the midpoint of AC as well as that of BD.

[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]

[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]

The midpoint of AC is:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]

[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]

[tex]=\left(5,\:2\right)[/tex]

The midpoint of BD is:

[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]

so

∵  [tex]\frac{a+2}{2}=5[/tex]

[tex]a+2=10[/tex]

[tex]a=8[/tex]

∵ [tex]\frac{b+4}{2}=2[/tex]

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

[tex]b=0[/tex]

Hence, the fourth vertex is D(8, 0)

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)

divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.

6 ounces = $1.92

hope this helps!! :)

From the picture attached,

       ∠B ≅ ∠C

       m(∠A) = 3[m(∠B)] - 10

By applying angle sum theorem in ΔABC,

m(∠A) + m(∠B) + m(∠C) = 180°

m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]

m(∠A) + 2m(∠B) = 180°

[3m(∠b) - 10] + 2m(∠B) = 180°

5[m(∠B)] = 180° + 10°

m∠B = 38°

       Therefore, m∠B = m∠C = 38°

Substitute the value of angle B in equation (2),

m(∠A) = 3(38) - 10

          = 104°

        Therefore, measure of angle A will be 104°.

Learn more,

https://brainly.com/question/4973154

Answer:

its rational

Step-by-step explanation:

:)

Answer:

It is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

The answer is D. x = 0 , 5

x equal to 0 and 5.

Answer:

True

Step-by-step explanation:

Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.

Answer:

true

Step-by-step explanation:

they both emit carbon so if they are both used more often then carbon emissions will increase.

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

[tex]a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)[/tex]

The ratio of first unit vectors is:

[tex]\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}[/tex]

In order for the vectors to be collinear the other ratio should also be 1/3

[tex]\frac{a_2}{b_2} = \frac{1}{3}[/tex]

Writing it mathematically

[tex]\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6[/tex]

Hence,

For n=6, the given vectors will be collinear.

Answer:

Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

Answer:

it's 2 to the power of 5, 2 to the power of 2 + 3 to the power of 2 and the last one is 3 to the power of 3 - 3 to the power of 2

Answer:

180 - 25(T)= 30

T=6

180 - 25(6)= 30

Answer:

I think A because we can't see the thing

Answer:

x=1

Step-by-step explanation:

Answer:

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Step-by-step explanation:

Given:

Patients cured = 30% = 0.30

Number of patients (n) = 18

Probability cured of cervical cancer = P(X≤1)

Probability cured of cervical cancer  = P(X=0) + P(X=1)

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Answer:

114 people

Step-by-step explanation:

456*.25=114

Answer:

Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.

Step-by-step explanation:

hope this helps

Answer:  3704 / 100=37R4

Step-by-step explanation:

3704 / 100=37R4

Answer:

listen

Step-by-step explanation:

Just breathe! I know Im late but please take notes and not ask everyone on here to do stuff for you! Thanks

Answer:

11/19

Step-by-step explanation:

If the probability is 8/19, the reverse is 11/19. That is the odds.

Hope this finds you well on a cold day!  

You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.

Answer:

Step-by-step explanation:

Não porque a caixa seria muito menor que o cano.

Answer:

c. -8

Step-by-step explanation:

Given:

[tex] \frac{4b \div c}{1 - a} [/tex]

a = 5, b = 8, and c = 1

To evaluate, plug in the values into the expression given.

Thus:

[tex] \frac{4(8) \div 1}{1 - 5} [/tex]

[tex] \frac{32 \div 1}{1 - 5} [/tex]

[tex] \frac{32}{-4} [/tex]

[tex] \frac{8}{-1} = - 8 [/tex]

Answer:

12.56km

Step-by-step explanation:

circumference formula is C= 2(π)(r)

r= 2 so

C=2(π)(2)

C= 12.56

Answer:

13 feet

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

trust me

Answer:

3

Step-by-step explanation:

Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.

-LavenderVye

Answer:

the answer to the question is 7

Answer:

1.23 x 1.1 = 1.32

Answer:

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now? 41

Step-by-step explanation:

Answer: 41

Step-by-step explanation: The key word in this sentence is more. She already has 16 and she is getting another 25. So that means you have to add 16 and 25 to find out how much she has now. The answer would be 41.