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Free_Kalibri [48]
2 years ago
12

−3x+5y=2x+3y ordered pairs

Mathematics
1 answer:
NeTakaya2 years ago
6 0

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

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Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
The correlation analysis assumes that the measurements have a bivariate normal distribution in the population. Select all of the
RoseWind [281]

Answer:

A. True

B. True

C. False

D. False

E. False

F. False

G. True

Step-by-step explanation:

Select all of the features that define a bivariate normal distribution.

<em>(this means that we select only those that are properties of the bivariate normal distribution)</em>

A. Bell-shaped probability distribution in two dimensions rather than one

<em>TRUE  because any combination of the two is still normal Z(x,y)=aX+bY</em>

B. A relationship between X and Y that is not linear

<em>TRUE The contours of the distribution are ellipses.</em>

C. The presence of outliers

<em>FALSE possible, but not always.</em>

D. Either X or Y has a decidedly skewed distribution

<em>FALSE normal distributions are symmetric</em>

E. A relationship between X and Y that is linear

<em>FALSE see answer to B</em>

F. A cloud of points that is funnel shaped (wider at one end than the other)

<em>FALSE normal distributions are symmetric</em>

G. The frequency distributions of X andY separately are normal

TRUE For example, in <em>Z(x,y)=aX+bY, putting a or b=0 means that X and Y separately are normal.</em>

4 0
3 years ago
Ayudeme a resolver y poner signo positivo y negativo
Lina20 [59]

Debido a restricciones de extensión y la características del ejercicio, recomendamos leer la explicación de esta pregunta para mayores detalles sobre la adición de números <em>enteros</em>.

<h3>¿Cuáles son los resultados de cada suma?</h3>

En este ejercicio tenemos un grupo de sumas con números <em>enteros</em> <em>positivos</em> y <em>negativos</em>, en las cuales se prueba la capacidad del estudiante para realizar varias operaciones en serie (adición, sustracción) y comprender las diferencias entre números <em>positivos</em>, <em>negativos</em> y <em>neutros</em>. Ahora procedemos a determinar el resultado de cada una de las expresiones:

20 + 50 + 30 + 7 = 107

30 + 5 + 2 = 37

- 200 - 50 - 70 - 8 = - 328

- 500 + 100 - 20 + 50 = - 370

10 - 5 = 5

20 + 50 - 25 - 10 = 35

- 100 + 20 = - 80

- 30 + 5 + 4 - 20 + 8 = - 33

- 258 + 8 = - 250

- 10 + 20 + 520 - 100 + 8 = 438

- 20 - 5 - 42 + 3 = - 64

1000 - 200 + 50 + 30 - 45 + 75 - 87 + 90 + 50 - 100 + 50 - 10 = 903

- 400 + 500 - 200 - 50 + 48 + 8 - 47 - 50 = - 191

300 + 20 - 50 + 30 - 84 + 35 - 7 + 20 - 40 + 10 - 45 + 65 + 8 - 55 = 207

800 + 50 - 69 + 8 - 35 + 85 - 54 + 40 + 85 + 74 - 32 - 8 + 65 - 27 = 982

Para aprender más sobre sumas: brainly.com/question/1456841

#SPJ1

4 0
1 year ago
Please answer and put how
muminat
6 + m/4 = 3 (subtract 6 from both sides)
m/4 = -3 (multiply both sides by 4)
m = -12

Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3 

The answer m = -12 checks out
3 0
3 years ago
Read 2 more answers
Solve for b:<br>10abc - 2d = 3d​
gulaghasi [49]

Answer:

b = d/(2ac)

Step-by-step explanation:

10abc - 2d = 3d

Add 2d to each side

10abc - 2d+2d = 3d+2d

10 abc = 5d

Divide each side by 10ac

10 abc/ (10ac) = 5d/10ac

b = d/(2ac)

3 0
3 years ago
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