Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15

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

Learn more about probability theory here:

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Answer:

C (3,14)

Step-by-step explanation:

y=6x-4

y=7x-7

6x-4=7x-7

-x=-3

x=3

y=6*3-4=14

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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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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Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

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:

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

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:

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:

No. D

please mark me as brainliest please

Answer:

The trapezoid.

(it's the third picture)

Answer:

None of these choices are correct.

Step-by-step explanation:

75 = perimeter

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

Read more here; brainly.com/question/12928519

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:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

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:

C

Step-by-step explanation:

193b=212.3

193b/193=212.3/193

(divide by 193 to get the value of b)

193 cancels 193

b= 1.098445596

(round off to one decimal place)

b=1.1

Hope its helps ❤️

Answer:

Step-by-step explanation:

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.

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]

Answer:

Step-by-step explanation:

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

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.

Answer:

$120.00

Step-by-step explanation:

brainliest please

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:

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:

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:

1/2.

Step-by-step explanation:

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