_______ samples are used to ensure representation from different types of subgroups in a population.

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

27

Step-by-step explanation:

If this is a right angle triangle, we will do this.

45^2 - 36^2 =

√729 = 27

Therefore, the missing leg = 27

Hope that helps!

Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

Answer:

dont listen to person above me . it's a scam

Answer:

A = 70 units²

Step-by-step explanation:

Since all 4 sides are congruent then figure is a rhombus

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here d₁ = 7 + 7 = 14 and d₂ = 5 + 5 = 10 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 10 = 7 × 10 = 70 units²

Answer:

42,757.2

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. You always multiply the numbers!

Please mark me brainliest!

Hey there, friend!

Here's my answer!

[tex] \colorbox{red}{A{ \colorbox{orange}{N{ \colorbox{yellow}{S{ \colorbox{blue}{W{ \colorbox{royalblue}{E{ \colorbox{cyan} {R{ \colorbox{purple}{S}}}}}}}}}}}}}: [/tex]

[tex] {\bold\green{Answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{A.\:42,757.2}}}}} [/tex]

B. 4,750.8

C. 128,271.6

D. 256, 543. 2

============================

[tex] \LARGE\bold\blue{\tt{SOLUTIONS}} [/tex]

First, multiply 37 and 42.8

[tex] {\bold\green{37 × 42.8 }} \green\implies\blue{\boxed{\bold\blue{1,583.6 }}} [/tex]

Second, multiply 1,583.6 and 27

[tex] {\bold\green{1,583.6 × 27}} \green\implies\blue{\boxed{\bold\blue{42,757.2}}} [/tex]

[tex] {\bold\green{Final\:answer}} \green\implies\blue{\overbrace{\underbrace{\boxed{\bold\blue{42,757.2}}}}} [/tex]

============================

That's my answer

Keep safe, friend

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

Answer:

678.4 cm^2

Step-by-step explanation:

total surface area of prism is equal to ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Firstly, we calculate the perimeter of the base. This is equal to 10 + 14 + 10 + 14, or 48.

Secondly, we must calculate the height of the prism, which is shown as 8.3.

Lastly, we must calculate the area of the base, which is 10 * 14, or 140.

We can now substitute these values into the formula, ph + 2B to find the total surface area of the prism:

ph + 2B,

(48)(8.3) + 2(140),

398.4 + 280,

678.4

This means that the total surface area of this prism is 678.4 cm^2

Answer:

Heres one

c = 5 + 1.5t

Step-by-step explanation:

Let t represent the number of toppings

and c represent the total cost of the pizza

Answer:

(x-2)*(x-9)

Step-by-step explanation:

hope this helps!!

Answer:

$6500

Step-by-step explanation:

Given data

Monthly Earnings= $4500

Commission= 4%

Sales= $50000

Let us find the amount of the commission

=4/100*50000

=0.04*50000

= $2000

Since the monthly earning is $4500, hence the total earning is

=2000+4500

=$6500

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]

[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]

[tex] {b }^{2} = 169 - 144[/tex]

[tex] {b}^{2} = 25/tex]

[tex]b = \sqrt{25} [/tex]

[tex]b = 5[/tex]

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Answer: 5.7p + 10

Step-by-step explanation:

From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.

The equation that shows the relationship between the items being purchased, p, and the time, t will then be:

= 5.7p + 10

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

Answer:

352.7 m

Step-by-step explanation:

Distance from the cliff 2000m

Angle = 10°

How tall is the cliff?

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 2000m

θ = 10°

Hence:

tan 10 = x/2000m

Cross Multiply

x = tan 10 × 2000m

x = 352.65396142 m

Approximately = 352.7 m

The cliff is 352.7 m tall

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

B

Step-by-step explanation:

Just take all three numbers (954, 158, 63) then add them all up.

Answer:

Question 9

Name the ordered pairs in the table: 3, 4, 5, 6, 7

Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)

Graph the equation: the attachment

Step-by-step explanation:

I don't know how to do questions 11 and 12.

Also sorry if these aren't correct.

Answer:

Nan

Step-by-step explanation:

Step-by-step explanation:

= P [ 1-R/100 ] T

= 15000 [ 1-12/100] ⁵

= 15000 [100-12/100]⁵

= 15000 [0.88]⁵

= 15000 × 0.52773

= 7915.95..

i hope it's correct....

Answer:

U GOT TO KNOW THE ANGLE

Step-by-step explanation:

Answer:

BC= 35

Step-by-step explanation:

trigonometry is used as its a right angle triangle, use the formula : a² + b² = c²

Answer:

-8

Step-by-step explanation:

Let r, g and c be the scores of, respectively, Rose, Garcia and Curran.

We know that

[tex]r + g + c = - 32 \\ r = - 9 \\ g = - 15[/tex]

Thus

[tex] - 9 - 15 + c = - 32 \\ - 24 + c = - 32 \\ c = - 8[/tex]

Answer:

270 degrees

Step-by-step explanation:

[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]

Answer:

D. 45

Step-by-step explanation:

(40+50)/2 = 45

sadly my answer has deleted here

Answer:

[tex]0 < 0.99 < 1[/tex]

Step-by-step explanation:

Given

[tex]Number = 0.99[/tex]

Required

Determine the interval which it belongs

The given number is less than 1

i.e.

[tex]0.99 < 1[/tex]

And it is greater than 0.

[tex]0.99 > 0[/tex]

So, the number is located between 0 and 1

i.e.

[tex]0 < 0.99 < 1[/tex]

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.

Answer:

True. It is true.

Answer:

True

Step-by-step explanation:

They both have vacuoles but the vacuoles are much larger in plant cells than animal cells.

Answer:

4

Step-by-step explanation: