​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by . The difference between the number of Europeans and Americans is . If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by . Determine the number of​ Asians, Africans,​ Europeans, and Americans in this village

Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

The symbolic distribution is:

[tex]P(X = 1) = y[/tex]

[tex]P(X = 2) = x[/tex]

[tex]P(X = 3) = y[/tex]

[tex]P(X = 4) = x[/tex]

[tex]P(X = 5) = y[/tex]

[tex]P(X = 6) = x[/tex]

The sum of all probabilities is 1, hence:

[tex]3x + 3y = 1[/tex]

Simplifying by 3:

[tex]x + y = 0.3333[/tex]

[tex]y = 0.3333 - x[/tex]

2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:

[tex]x = 2y[/tex]

[tex]x = 2(0.3333 - x)[/tex]

[tex]3x = 0.6667[/tex]

[tex]x = \frac{0.6667}{3}[/tex]

[tex]x = 0.2222[/tex]

Then:

[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]

Hence, the distribution is:

[tex]P(X = 1) = 0.1111[/tex]

[tex]P(X = 2) = 0.2222[/tex]

[tex]P(X = 3) = 0.1111[/tex]

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.1111[/tex]

[tex]P(X = 6) = 0.2222[/tex]

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Answer:

Same thing as before

Convert into improper for it to be easier to solve

11/3 - 9/5

THe common multiple is 15 here

55/15 - 27/15 = 28/15

Now 28/15 into a mixed is

1 13/15

Answer:

A

Step-by-step explanation:

so first substitute 2 into the x  so 3*2=6 then and 5+6= 11 then substitute 11 into the y and boom it works. (3,13) doesnt work because if you substitute them in 3*3=9 then 9+5=14 but we needed 13 so only (2,11) works.

Answer:

look at the explanation

Step-by-step explanation:

for f(x) and g(x) to be inverse,

f(g(x))=g(f(x))=x

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

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Step-by-step explanation:

remainder=4

quotient=x+1

divisor=x-2

dividend=x^2 -x +2

Answer:

6

Step-by-step explanation:

48/8=6

Answer:

3.3 or [tex]\frac{56}{17}[/tex]

Step-by-step explanation:

v/7 = 8/17                    

Cross multiply ... v times 17 & 7 times 8

17v = 56

Divide both sides by 17

v = 56/17

Keep your answer as a fraction OR

Convert to a decimal : 3.3

Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]

[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]

So, the equation is simplified to

[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]

Let's combine the fractions on the right side:

[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]

[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]

Then

[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]

reduces to

[tex]-(17+11i) z = 5-4i[/tex]

Multiply both sides by -1/(17 + 11i) :

[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]

[tex]z = -\dfrac{5-4i}{17+11i}[/tex]

Finally, simplify the right side:

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]

[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]

So, the solution to the equation is

[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:y=2.5x+5 i thank

Step-by-step explanation:

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

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Answer: a.

Would appreciate brainly <3

Answer:

x = 2

Step-by-step explanation:

The given point is (-2, 2).  A horizontal line passing through this point is x = 2.

I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.

Answer:

Wednesday, 2021,Thursday, 2022

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

9514 1404 393

Answer:

  x = 78°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°.

  x + a + b = 180°

  x = 180° -a -b . . . . . . . . add -a-b to both sides

  x = 180° -54° -48°

  x = 78°

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

Answer:

5200 AED or 1404 USD

Step-by-step explanation:

You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.

5000 * 1.04 = 5200

If the question is asking in USD, the conversion rate from AED to USD is

AED * 0.27 = USD

We can substitute

5200 AED* 0.27 = 1404 USD.

Answer:

Squaring

Step-by-step explanation:

If a package is damaged, the probability that it came from Manufacturer A is 62.5%.

Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:

Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.

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Answer:

It'll be B.10

Step-by-step explanation:

Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.

Hope this helps :)

Answer:

3b

Step-by-step explanation:

[tex]3\sqrt{b^{2} }[/tex]

= 3b

Answer:

77x+33y

Step-by-step explanation:

Eliminate redundant parentheses

(33x+53y)+(44x−20y)

33+53+44−20

Combine like terms

33x+53y+44x−20y

77+53−20

Combine like terms

77x+53y−20y

77+33

Solution:

77+33

Answer: The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

Answer:

the first recipe

Step-by-step explanation:

We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.

Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.

nuts to cereal ratio = 2 1/2 : 5 = 1 : 2

Recipe 2: 1 cups of nuts per 3 cups of cereal.

nuts to cereal ratio = 1 : 3

1 : 2 is a higher ratio than 1 : 3

Answer: the first recipe

Answer:

12 in

Step-by-step explanation:

3in + 3in + 3in + 3in = 12