Martinez town is building a volleyball court based on a scale drawing that is 40cm by 80cm and uses the scale 1 cm :22.5cm

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

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The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.

When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.

Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:

[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]

Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.

For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.

This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.

So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.

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Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

$120.00

Step-by-step explanation:

brainliest please

Answer:

f(8) = -161

Step-by-step explanation:

f(x) = -3x^2 + 3x + 7

f(8) = -3(8)^2 + 3(8) + 7

f(8) = -192 + 24 + 7

f(8) = -161

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]

[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

-----------------

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec

time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec

d/10 + d/6 = 300 sec

:::::

d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300

d = 300×30/8 = 1,125 ft

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

Answer:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:

Answer:

[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]

Answer:

765625

Step-by-step explanation:

because 875x875 is 765625

Answer:

765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)

Step-by-step explanation:

Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."

There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.

Step-by-step explanation:

This equations are quadratic equations, which is on standard form,

[tex] {ax}^{2} + bx + c[/tex]

where a is the leading coefficient, b is the second coefficient, and c is the constant.

Both a and b are in quadratic equation so we need to find the constant separately.

Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.

[tex] {x}^{2} - 4 x + a = 0[/tex]

[tex] {x}^{2} + a = 4x[/tex]

[tex]a = - {x}^{2} + 4x[/tex]

For b,

[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]

[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]

[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]

[tex]b = - 2 {x}^{2} + 6x - 7[/tex]

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

[tex] \displaystyle \large{y = 2 \sin x}[/tex]

Refer to the equation above:

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

Answer:

-1 1/3

Step-by-step explanation:

You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

No. D

please mark me as brainliest please

Answer:

The trapezoid.

(it's the third picture)

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

The base of the rectangle , b = 28 cm

The area of the rectangle , A = 588 cm^2

Therefore , the height of the rectangle , h = A/b

=588/28 cm = 21 cm .

Answer:

None of these choices are correct.

Step-by-step explanation:

75 = perimeter

Answer:

Answer is 19

Step-by-step explanation:

firstly,the area of a rectangle is =LxW

secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft

so we solve,

LxW=AREA

Xx23=437

23X/23=437/23

X=19

therefore the length is =19

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

Answer:

C and D.

Step-by-step explanation:

We want to solve the equation:

[tex](x-1)^2 = 50[/tex]

We can take the square root of both sides. Since we are taking an even root, we need plus/minus:

[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]

Note that:

[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]

Hence:

[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]

And by adding one to both sides:

[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]

In conclusion, our answers are both C and D.

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

The value of x in the line segment TV is 8 units.

A line segment is a subset of a line which has two endpoints.

According to the question a line  segment TV is given which is of 5x + 6 units.

TU is also given which is 23 units.

U is the midpoint of TV this implies that UV is also 23 units.

Now, we know that TV = TU + UV.

5x + 6 = 23 + 23.

5x + 6 = 46.

5x = 46 - 6.

5x = 40.

x = 40/5.

x = 8 units.

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Answer:

1/2.

Step-by-step explanation:

When pattern 2 is 2,  pattern 1 is 4 so its 2/4 = 1/2.