given that n is a whole number explain why n^2 - n is always an even number

On solving the provided question, we can say that stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,

stabilizing selection type of selection does this demonstrate is shown by frequency distribution.

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Complete question: The frequency distribution of birthweights in human infants is bell shaped with most birthweights in the middle of the range of birthweights. What type of selection does this exemplify?

Answer:

the answer is 88

Step-by-step explanation:

so what you have to do is multiply the sum of the length and width by 2

20+24=44          44 times 2 = 88

Answer: OPTION 3 i think sorry

and please dont kus

Step-by-step explanation:

The volume of the display case if the side length is 9.8 centimeters is 941.192 cubic centimeters.

It is required to find the volume.

Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Solution:

Baseball display case is in the shape of a cube.

side length = 9.8 centimeters

We know that

volume of the cube= \(side^{3}\)

volume of the cube=

\(9.8^{3} =941.192 c.c\)

Therefore, the volume of the display case if the side length is 9.8 centimeters is 941.192 cubic centimeters.

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The given regular expression is: (ab+baa+(aa)∗)∗Let's convert it into an NFA using the procedure described in the class:First, create an NFA for each sub-expression in the regular expression, and then combine them to create an NFA for the entire expression.

a. NFA for "ab"The NFA for "ab" has two states: an initial state q0 and a final state q1. For every input symbol "a", the machine stays in q0 and for every input symbol "b", the machine moves from q0 to q1. Therefore, the NFA for "ab" is as follows:b. NFA for "baa"The NFA for "baa" has three states:

an initial state q0, a final state q2, and an intermediate state q1. For the first symbol "b", the machine moves from q0 to q1. For the second symbol "a", the machine moves from q1 to q2. And for the third symbol "a", the machine stays in q2. Therefore, the NFA for "baa" is as follows:

c. NFA for "(aa)*"The NFA for "(aa)*" has two states: an initial state q0 and a final state q1. For the input symbol "a", the machine moves from q0 to q1 and stays in q1 for every subsequent "a". Therefore, the NFA for "(aa)*" is as follows:d. NFA for "ab+baa+(aa)*"To create an NFA for "ab+baa+(aa)*", we need to combine the NFAs for "ab", "baa", and "(aa)*". For this purpose, we need to introduce a new initial state and connect it to the initial states of the three sub-NFAs with epsilon transitions. Also, we need to introduce a new final state and connect the final states of the three sub-NFAs to it with epsilon transitions.

Therefore, the NFA for "ab+baa+(aa)*" is as follows:e. NFA for "(ab+baa+(aa)*)*"To create an NFA for "(ab+baa+(aa)*)*", we need to take the NFA for "ab+baa+(aa)*" and add two epsilon transitions: one from the initial state to the final state, and another from the final state to the initial state. Therefore, the NFA for "(ab+baa+(aa)*)*" is as follows

Thus, we have converted the given regular expression (ab+baa+(aa)*)* into an NFA by using the procedure described in the class.

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Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

(a) To prove that the set {{1}, {2}, {3}, ...} is countable, we can establish a one-to-one correspondence between this set and the set of natural numbers (N).

Let's define a function f: N -> {{1}, {2}, {3}, ...} as follows:

f(n) = {n}

This function maps each natural number n to the set containing only n as its element. It is evident that this function is both injective and surjective, establishing a one-to-one correspondence between N and {{1}, {2}, {3}, ...}.

Since N is a countable set, and there exists a one-to-one correspondence between N and {{1}, {2}, {3}, ...}, the set {{1}, {2}, {3}, ...} is also countable.

(b) The set Z+ x Z+ represents the set of all ordered pairs of positive integers. To prove that this set is countable, we can use the fact that the Cartesian product of two countable sets is countable.

Both the set of positive integers (Z+) and the set of natural numbers (N) are countable. We can establish a one-to-one correspondence between Z+ and N as follows:

1. Map the positive even integers to the natural numbers: f(n) = 2n, where n is a natural number.

2. Map the positive odd integers to the natural numbers: f(n) = 2n - 1, where n is a natural number.

Both of these mappings are bijective, ensuring that every positive integer has a unique corresponding natural number.

Since the Cartesian product of two countable sets is countable, Z+ x Z+ is countable as well.

Therefore, the set Z+ x Z+ is countable.

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Answer:

The answer is -285

Step-by-step explanation:

4x - y = 13 Equation represents the line that passes through the point (3,-1) and is perpendicular to the graph of x+4y=11

According to the question,

Its given that

The required line is passing through (3, -1)

And is perpendicular to line x + 4y = 13

Let required line be (y-y') = m'(x - x') ----(1)

Where m' is slope of required line

The given line is  x + 4y = 13

Slope of this line be m =

=> 4y = 13 - x

=> y = 13/4 - x/4

m = -1/4

You should know that if two lines are perpendicular to each other than the product of their slope is always -1

Therefore , m × m' = -1

=> -1/4 × m' = -1

Multiplying by -4

=> m' = 4

Substituting the value in equation (1)

=> (y - (-1)) = 4 ( x - 3)

=> y + 1 = 4x - 12

=> 4x - y = 13 is our required equation

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Answer:

6 13/14

Step-by-step explanation:

Add the whole numbers first.

6 + 2/7 + 9/14

Find the Least Common Denominator (LCD) of 2/7, 9/14. In other words, find the Least Common Multiple (LCM) of 7,14.

LCD: 14

Make the denominators the same as the LCD.

6 + 2 × 2/7 × 2 + 9/14

Simplify. Denominators are now the same.

6 + 4/14 + 9/14

Join the denominators.

6 + 4 + 9/14

Simplify

6 13/14

May I please have Brainliest!!??

- ElizabethKate

The solution is 97/14 of the given exprsseion.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given expression as :

⇒ \(4\dfrac{2}{7} + 2\dfrac{9}{14}\)

⇒ (28 + 2)/7 + (28 + 9)/14

⇒ 30/7 + 37/14

⇒ (60 + 37)/14

⇒ 97/14

Hence, the solution is 97/14 of the given expression.

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9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

Answer:

(1,0) and (3,0)

Step-by-step explanation:

y=x^2-4x+3

To factor we need to know what numbers add up to -4 and multiply will equal to 3.

y=(x-3)(x-1)

The zeroes would be 3 and 1.

x=3  so y=0 for (x-3)

x=1 so y=0 for (x-1)

If right pls give me brainliest thank you.

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

\(y=x^2-4x+3\)

Plug y as 0 to find the x-intercepts.

\(0=x^2-4x+3\)

Factor right side.

\(0=x^2-1x-3x+3\)

\(0=x(x-1)-3(x-1)\)

\(0=(x-1)(x-3)\)

Set factors equal to 0.

\(x-1=0\\x=1\\x-3=0\\x=3\)

x=1 or x=3 when y=0

The random variable X represents the length of each engineering conference, and is measured in days.

The normal distribution should be used for this problem, as the underlying population is normal. The normal distribution is a continuous probability distribution that is characterized by a symmetric bell-shaped curve. It is a useful model for events that follow a normal or Gaussian pattern, such as the lengths of engineering conferences.

c. i. The 95% confidence interval for the population mean length of engineering conferences is (3.38, 4.50) days.

ii. The graph of the 95% confidence interval for the population mean length of engineering conferences is shown below.

iii. The error bound for the 95% confidence interval is 0.77 days. This can be calculated using the formula: Error Bound = 1.96*(standard deviation/√sample size). In this case, the error bound is calculated as: 1.96 * (1.28/√84) = 0.77.

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Answer:

y=2x

Step-by-step explanation:

Answer:

r > 38

Step-by-step explanation:

Number of pages in the Quran = 532

Number of nights in a week = 7

Target is to read more than half by the end of the first week

In other to meet up,

Let number of pages to be read per night = r

Hence, the equality goes thus

Pages read per night × 7 > pages of the Quran / 2

7× r > 532 / 2

7r > 266

r > 266/7

r > 38

Hence, he must read more than 38 pages each night.

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

Answer:

No. She should have multiplied 12 and One-half to solve

6 yards

Step-by-step explanation:

Number of girls = 12

Each girl needs = 1/2 yard of strings

Suzie workings:

12/1 ÷ 1/2

= 12/1 × 2/1

= 24/1

= 24 yards

No. She should have multiplied 12 and One-half to solve

Correct workings:

Total strings needed for 12 girls = 12 × 1/2 yards

= (12*1)/2

= 12/2

= 6 yards

Answer:

The answer is A.

Step-by-step explanation:

I got it right on Edge 2021.

The letter on the number line that represents the given number is B.

A number line is a straight line which extends from -∞ to -∞, on which the position or location of all directed numbers can be identified.

Directed numbers are numbers which have either a negative or positive sign. Examples include; -4, -1 2/3. 9 etc. Therefore all numbers can be located on a number line.

Considering the given question, to locate the position of 1 85/100. The whole number make us to understand that its position falls between 1 and 2. And the fraction part shows that the number is closer to 2 more than 1.

Therefore, the letter on the number line that represents 1 85/100 is B.

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Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

LCM(24,30,40)=120.The Least common multiple for three numbers 24,30 and 40 is 120

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

Answer:

last option is correct

Step-by-step explanation:

8x-17=5x+19(being corresponding angles)

8x-5x=19+17

3x=36

x=36/3

x=12

The correct determinant of -1/sqrt(3) * B is 1. From the given options, the answer is (a) 1/3.

To find the determinant of the matrix -1/sqrt(3) * B, we can apply the property of determinants that states det(kA) = k^n * det(A), where k is a scalar and A is a square matrix of size n x n. In this case, k = -1/sqrt(3) and A = B, which is a 4 x 4 matrix.

Using this property, we have:

det(-1/sqrt(3) * B) = (-1/sqrt(3))^4 * det(B)

Since det(B) = 3, we can substitute this value into the equation:

det(-1/sqrt(3) * B) = (-1/sqrt(3))^4 * 3

Simplifying further, we have:

det(-1/sqrt(3) * B) = (1/3) * 3

The factors of 3 cancel out, resulting in:

det(-1/sqrt(3) * B) = 1

Therefore, the determinant of -1/sqrt(3) * B is 1.

However, it is important to note that this answer is incorrect, as we have shown that the determinant is equal to 1, not 1/3. It seems there may be an error in the options provided.

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Answer:

Well we don't have the choices to choose from so I will just list some

36x1x1

18x2x1

3x6x2

3x3x4

2x2x9

6x6x1

3x12x1

Step-by-step explanation:

anything that multiples together to get 36

Hope this helps if you need more let me know! :)

1x factors of 36

1x1x36

1x2x18

1x3x12

1x4x9

1x6x6

2X factors of 18

2x1x18

2x2x9

2x3x6

3 times factors of 12

3x1x12

3x2x6

3x3x4

4 times factors of 9

4x1x9

4x3x3

6 times factors of 6

6x1x6

6x2x3

there are some repeats but that should be most of the choices

Answer:

t = 1.15 seconds.

Step-by-step explanation:

The pumpkin is dropped from the height of = 64 feet.

Now we have to find the time taken to reach the pumpkin on ground. Use the below formula to find the time taken.

H = ½ gt^2

H = height

g = 9.8 (always contant )

t = time taken.

Now insert all the values in the formula.

H = ½ gt^2

64 = ½ ×9.8× t^2

(64×2) / 9.8 = t^2

t = 1.15 seconds.

The perimeter of the square is 400 meters.

In a square, all sides are equal in length. Since the diagonal PR of the square is given as 100 meters, we can use the Pythagorean theorem to find the length of one side.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.

In this case, the length of one side is equal to the square root of half the square of the diagonal, which is sqrt((100^2)/2) = sqrt(5000) = 70.71 meters.

Since all sides of the square are equal, the perimeter is four times the length of one side, which is 4 * 70.71 = 282.84 meters.

Rounded to the nearest meter, the perimeter of the square is 400 meters.

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Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

Answer:

its A,B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2=y^3

Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2

Answer:

z = 2

Step-by-step explanation:

\(x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}\)

As bases are same, compare the powers

3z = 6

z = 6/3

z = 2

Answer:

24 runners finish the race

Step-by-step explanation: 1/5 of 75 =15

75 - 15 =60

3/5 of 60 = 36

60 -36 =24

The simplified fraction form of the expression is -5/4.

We can simplify the expression as follows:

-5x √3 / √48x²

= -5x √3 / (√16x² * √3)

= -5x √3 / (4x * √3)

= -5/4 * (x/ x) * (√3/ √3)

= -5/4

Therefore, the simplified fraction form of the expression is -5/4.

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