In how many ways can 5 couples (man-woman, each man goes with his girl) be accommodated in 11 seats on the line in the cinema if:
a) at the ends there must be men, each man (of the 2) wants to have hi

Answer:

Im pretty sure its 5

Step-by-step explanation:

5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.

Answer:

5 triangles to 4 circles.

Answer:

Step-by-step explanation:

Answer:

y = -2/5x - 4

Step-by-step explanation:

The exterior angle of each polygon and the adjacent interior angle are

supplementary.

(a) 72°    (b) \(\displaystyle 51 \frac{3}{7} ^{\circ}\)    (c) 36°    (d) 20°    (e) 18°

Reasons:

The formula for the exterior angle of a regular polygon is, \(\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}\)

Where;

θ = The exterior angle of the polygon

n = The number of sides of the regular polygon

(a) The number of sides in a pentagon, n = 5 sides

Therefore, for a regular pentagon, we have;

\(Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}\)

The measure of the exterior angle of a pentagon, is 72°

(b) An heptagon has n = 7 sides

The measure of the exterior angle, θ, of a regular heptagon is therefore;

\(Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}\)

(c) A decagon has n = 10 sides, which gives;

\(The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}\)

(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;

\(The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}\)

(e) A regular 20-gon has n = 20 sides

The exterior angle of a regular 20-gon is \(\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}\)

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Answer:

It would it take 10 minutes

Step-by-step explanation:

the reason is because 2 people used 20mins so if you add 2 more it would be half of the work so it would be 10 minutes also it would take 25 minutes for 1 person to weed a plot of land so it means you subtract by 5.

Statistical significance is also known as the risk of  Type I error

Probability is the likelihood or chance that an event will occur. Statistical significance can be used to measure the level of confidence of measured data.

The probability of the type I error is commonly called the significance level of the hypothesis test and is denoted by the symbol α.

Hence we can conclude that statistical significance is also known as the risk of  Type I error

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The sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

In the unit circle, the reference angle is the acute angle formed between the positive x-axis and the terminal side of an angle measured counterclockwise. The sine of an angle is defined as the y-coordinate of the point on the unit circle corresponding to that angle.

In the second quadrant of the unit circle, angles have values between 90 degrees and 180 degrees (π/2 and π radians). Since the reference angle is always the acute angle, the reference angle for an angle in the second quadrant is the angle formed between the terminal side and the negative x-axis.

When comparing the sine of an angle in the second quadrant to the sine of its reference angle, there is a sign difference. The sine function is positive in the first and second quadrants. However, in the second quadrant, the y-coordinate (sine value) is negative because it lies below the x-axis. This means that the sine of an angle in the second quadrant is the negative value of the sine of its reference angle.

Mathematically, if θ is an angle in the second quadrant, and α is its reference angle, then:

sin(θ) = -sin(α)

This relationship holds true because the y-coordinate (sine value) in the second quadrant is the negative value of the y-coordinate in the first quadrant. So, the sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

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Answer:

  y = 3/2x -7/2

Step-by-step explanation:

Solve for y.

  \(3x -2y=7\qquad\text{given}\\\\3x=2y+7\qquad\text{add $2y$ to both sides}\\\\3x-7=2y\qquad\text{subtract 7}\\\\\dfrac{3}{2}x-\dfrac{7}{2}=y\qquad\text{divide by 2}\\\\\boxed{y=\dfrac{3x}{2}-\dfrac{7}{2}}\)

_____

Additional comment

Whatever operation is performed on the equation must be performed on both sides of the equation in order for the equal sign to remain valid. For example, when we say "subtract 7", you should understand that to mean "subtract 7 from both sides of the equation."

The binary number 1011011 is equal to the denary number 91.

1011011two is converted to  denary by writing the numbers and assigning powers of 2 from zero to the number of digits available. For the problem, we have zero to six. then multiply out and add

= 1 x 64 + 0 x 32 + 1 x 16 + 1 x 8 + 0 x 4 + 1 x 2 + 1 x 1

this results to

= 64 + 0 + 16 + 8 + 0 + 2 + 1

then the addition is equal to

= 91.

hence, the binary number 1011011 is equal to the denary number 91.

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Step-by-step explanation:

The proportion of similar triangles are

\( \frac{3}{4} = \frac{9}{r} \)

Solving for r

\( \frac{4}{3} = \frac{r}{9} \)

\( \frac{9 \times 4}{3} = r\)

\(12 = r\)

Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Step-by-step explanation:

Answer: x=5 and x=-1

Step-by-step explanation:

X^2-4x-5=0

(X-5) (x+1)=0

X-5=0. And. X+1=0

The most common methods that help us determine the optimal number of clusters in biclustering are based on gap statistics, average silhouette width, and information criteria

Biclustering is a method for clustering objects and features at the same time. In biclustering, both rows and columns are clustered. The algorithm partitions both rows and columns simultaneously by dividing them into subsets called clusters.

The R blockcluster package provides algorithms for extracting a checkerboard structure in which the number of blocks in the checkerboard is equal to the number of row clusters times the number of column clusters. The analyst sets the number of row clusters and the number of column clusters.

In general, clustering techniques require that we specify the number of clusters to create before we start clustering the data. Similarly, we need to specify the number of row clusters and column clusters to generate in biclustering. Several different techniques can be used to determine the appropriate number of clusters. However, the approach is still an open research issue in biclustering.

The most common methods are based on gap statistics, average silhouette width, and information criteria. These methods can help you determine the optimal number of clusters in biclustering.

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The value of angle C in the triangle is 50°.

From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.

It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:

= 180° - (60° + 70°)

= 180° - 130°

= 50°

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Answer:

0.68

Step-by-step explanation:

Given that :

P(trombone | snow) = 0.8 ;

P(trombone | no snow) = 0.5

P(snow) = 0.6

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(no snow) = 1 - 0.6 = 0.4

Hence,

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(trombone) = (0.8 * 0.6) + (0.5 * 0.4)

P(trombone) = 0.48 + 0.20

P(trombone) = 0.68

ask a question. will try to help and make it

\(easy \: as \: \pi\)

Answer:

Math test

Step-by-step explanation:

Math test:

(score/possible points) * 100 = %

(14/17)*100 = 82.35%

English Test:

(score/possible points) * 100 = %

(31/39)*100 = 79.48%

Therefor they did better on their math test

The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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Step-by-step explanation:

P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19

= 0.013 (nearest thousandth)

Answer: 0.01

Step-by-step explanation:

the person above did it wrong, this answer is for sure correct.

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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Answer: Part A is (-9, 13) Part B is (9, 13)

Step-by-step explanation:

The values of x and y in the cyclic quadrilateral are 107 degrees and 75 degrees

From the question, we have the cyclic quadrilateral

In a cyclic quadrilateral, opposite angles are supplementary, meaning they add up to 180 degrees. This property is known as the "Opposite Angles Theorem."

For example, angles A and C are opposite angles, and they are both subtended by diameter BD.

Similarly, angles B and D are opposite angles, and they are both subtended by diameter AC.

Therefore, we can state that in a cyclic quadrilateral, the sum of opposite angles is 180 degrees

So, we have

x = 180 - 73 = 107

y = 180 - 105 = 75

Hence, the value of x is 107 degrees

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Answer:2 pounds per hour

Step-by-step explanation:

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

b=29.74

Step-by-step explanation:

tan b=opposite/adjacent

tan b= 4/7

b=29.74

Answer:

Original cost =70 pounds

Step-by-step explanation:

Let original cost be x,

so original cost = x

\(x*\frac{80}{100} = 56\)

\(x = 56 /\frac{80}{100}\)

\(x = 70 pounds\)

The maximum area that can be enclosed with 480 yards of fencing. is 28,530.5 square yards.

Let the length of the rectangular pen be denoted by L and its width be denoted by W.

From the problem statement, we know that the total length of fencing available is 480 yards. We can express this as an equation:

2L + W + 2 = 480

where the additional 2 is for the fence across the width.

Simplifying this equation, we get:

2L + W = 478

We want to find the maximum area that can be enclosed with this amount of fencing. The area of a rectangle is given by:

A = L × W

We can use the equation 2L + W = 478 to solve for one of the variables in terms of the other. For example, we can solve for W:

W = 478 - 2L

Substituting this expression for W into the equation for the area, we get:

A = L × (478 - 2L)

Simplifying this expression, we get:

A = 478L - 2L^2

To find the maximum area, we need to take the derivative of this expression with respect to L, set it equal to zero, and solve for L.

dA/dL = 478 - 4L

Setting this equal to zero and solving for L, we get:

478 - 4L = 0

L = 119.5

Substituting this value of L back into the equation for W, we get:

W = 478 - 2(119.5) = 239

Therefore, the dimensions of the rectangular pen that maximize the area are:

Length = 119.5 yards

Width = 239 yards

And the maximum area that can be enclosed with 480 yards of fencing is:

A = L × W = 119.5 × 239 = 28,530.5 square yards.

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Answer:

12 Hours

Step-by-step explanation:

Have a good day!

Please give me brainliest

Answer:

It will take 12 hours for 18.000 guests to ride the coaster.

Explanation: