help me i need an simple answer


If the point (13, 10) were reflected using the X-axis as the line of reflection, what would be the coordinates of the image? What about (13, -20)? (13, 570) ? Explain how you know

The measure of <HMG is 40 degree.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given:

In triangle HJL

HJ = HL (given)

let <HJL = <HLJ= 75  (Angles opposite to equal side also equal)

Using Angle Sum property in HKL

75 + 90 + <KHL = 180

<KHL = 180 - 165

<KHL = 15

Now, in Triangle HKM

<KHM = 35 + 15 = 50

So, Using Angle Sum property

50 + 90 + <HMK = 180

<HMK = 180- 140

<HMK = 40

Hence, the measure of <HMG = 40 degree.

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Answer:

11700 m²

Step-by-step explanation:

Split the shape in two. One rectangle 150x30 and one triangle 180x80.

Find the areas of both and add them:

A = bh + 1/2bh

A = 150(30) + 1/2(180)(80)

A = 4500 + 7200

A = 11700

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Para calcular el porcentaje de entradas que quedan disponibles, necesitamos determinar la proporción entre las entradas no vendidas y el total de entradas.

Entradas no vendidas = Total de entradas - Entradas vendidas

Entradas no vendidas = 55,000 - 47,500 = 7,500

Porcentaje de entradas disponibles = (Entradas no vendidas / Total de entradas) * 100

Porcentaje de entradas disponibles = (7,500 / 55,000) * 100 ≈ 13.636363636363637 Para calcular el porcentaje de entradas que quedan disponibles, necesitamos determinar la diferencia entre el número total de entradas y las entradas vendidas, y luego expresarlo como un porcentaje de las entradas totales.

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The he statement d(k) + (k + 1) = d(k+1) is true for all natural numbers, n, by mathematical induction.

To prove that the statement is true for all natural numbers, n, we can use mathematical induction.

The statement we want to prove is that d(k) + (k + 1) = d(k + 1), where d(n) represents the total number of dots in a pattern of n squares.

Base Case (n = 1):

First, let's prove the statement for the base case, n = 1.

For n = 1:

d(1) + (1 + 1) = d(1) + 2

Now, consider a single square with 1 dot.

In this case, d(1) = 1.

So, we have:

1 + 2 = 3

Now, let's consider a pattern of 2 squares (n = 2).

The first square has 1 dot, and the second square has 2 dots. So, d(2) = 1 + 2 = 3.

So, the statement is true for n = 1.

Inductive Hypothesis (Assume true for n = k):

Now, assume that the statement is true for some arbitrary natural number k.

That is, assume that: d(k) + (k + 1) = d(k + 1)

Inductive Step (Prove true for n = k + 1):

To prove that the statement is true for n = k + 1.

d(k + 1) + (k + 2) = d(k + 2)

Now, consider a pattern of (k + 1) squares.

By the inductive hypothesis, assume that the statement is true for k squares:

d(k) + (k + 1) = d(k + 1)

Now, let's add one more square to the pattern.

This square will have (k + 2) dots.

So, the total number of dots in the pattern of (k + 1) squares plus the (k + 2) dots in the additional square is:

d(k + 1) + (k + 2)

And by the inductive hypothesis, d(k) + (k + 1) = d(k + 1).

Therefore:

d(k + 1) + (k + 2) = (d(k) + (k + 1)) + (k + 2) = d(k) + (k + 1) + (k + 2)

Now, simplify:

d(k + 1) + (k + 2) = d(k + 1) + (k + 1 + 1)

So, it is shown that for n = k + 1, d(k + 1) + (k + 2) = d(k + 1) + (k + 1) + 1.

Since it is assumed the statement to be true for k and proved it for k + 1, it is shown that the statement is true for all natural numbers, n, by mathematical induction.

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Answer:

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

Find the area of the wall:

Find the price of  wallpaper:

Answer:

alternate exterior

The measure of the missing angle in the cyclic quadrilateral is 104°

From the question, we are to determine the measure of the inscribed angle in the given diagram

In the given diagram, we have a cyclic quadrilateral.

From one of the circle theorems, we known that

The sum of the opposite angles of cyclic quadrilateral are supplementary. That is they sum up to 180 degrees.

Let the unknown angle measure be x,

Then,

We can write that

x + 76°  = 180°

x = 180° - 76°

x = 104°

Hence, the missing angle measure is 104°

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Answer:

the last option

y = -x + 4

Step-by-step explanation:

Answer:83.33%

Step-by-step explanation:

To convert a decimal to a percentage, we multiply by 100 and add the percent symbol.

0.83 (repeating) is equivalent to 0.833333... (where the 3s repeat indefinitely).

So to convert 0.833333... to a percentage, we multiply by 100:

0.833333... x 100 = 83.3333...

Rounding this to the nearest hundredth, we get:

83.33%

Answer:

378 people

Step-by-step explanation:

60% of 630 = 0.6 × 630 = 378

Answer:

378

Step-by-step explanation:

60% of 630 = 378

3206 students are randomly chosen since there is no knowledge of the sample fraction.

The following can be used to represent the formula for calculating the margin of error for a single proportion:

ME = z√p(1 - p)/n

In order to be 91% certain that the sampling percentage seems to have an error margin of 1.5 percentage points, the number of randomly chosen students that must be surveyed is equal to;

0.015 = 1.6954×√0.5(1 - 0.5)/n

0.015/1.6954 = √0.5(0.5)/n

On further solving,

n = 3205.128

n ≈ 3206

As a result, 3206 students are randomly chosen since there is no knowledge of the sample fraction.

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The correct question is-

College officials want to estimate the percentage of students who carry a gun, knife, or other such weapons. How many randomly selected students must be surveyed in order to be 91% confident that the sample percentage has a margin of error of 1.5 percentage points?

a) Assume that there is no available information that could be used as an estimate of p.

We can use row reduction to solve this system of equations:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] => [1 0 0 -1 0; 0 1 0 1 0; 0 0 1 1 0;

For the matrix [ -3 6 5 -10], we can see that there are two linearly independent columns, namely [-3 2 1] and [6 1 1]. Therefore, a basis for the column space of this matrix is {[ -3 2 1], [6 1 1]}. The rank of this matrix is 2.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[ -3 6 5 -10] [x1]   [0]

[x2] = [0]

[x3]

[x4]

This simplifies to:

-3x1 + 6x2 + 5x3 - 10x4 = 0

We can rewrite this equation as:

x1 = 2x2 - (5/3)x3 + (10/3)x4

Therefore, the null space of this matrix is spanned by the vector [2, 1, 0, 0], [ -5/3, 0, 1, 0], and [10/3, 0, 0, 1].

For the matrix [2 1 1; 1 2 1; 7 5 4], we can see that all three columns are linearly independent. Therefore, a basis for the column space of this matrix is {[2 1 7], [1 2 5], [1 1 4]}. The rank of this matrix is 3.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[2 1 1; 1 2 1; 7 5 4] [x1]   [0]

[x2] = [0]

[x3]

This simplifies to:

2x1 + x2 + x3 = 0

x1 + 2x2 + 5x3 = 0

x1 + x2 + 4x3 = 0

We can use row reduction to solve this system of equations:

[2 1 1; 1 2 1; 7 5 4] => [1/2 1/4 -1/4; 0 9/4 -1/4; 0 0 0]

The reduced row echelon form shows that the null space of this matrix is spanned by the vector [-1/2, 1/2, 1], and [1/4, -1/4, 1].

For the matrix [1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1], we can see that all five columns are linearly independent. Therefore, a basis for the column space of this matrix is {[1 1 1 0 1], [1 1 0 0 1], [0 1 1 1 1], [0 0 1 1 1], [1 0 0 1 1]}. The rank of this matrix is 5.

To find a basis for the null space of this matrix, we solve the equation Ax = 0, where A is the given matrix:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] [x1]   [0]

[x2] = [0]

[x3]

[x4]

[x5]

This simplifies to:

x1 + x2 + x5 = 0

x1 + x2 + x3 = 0

x1 + x3 + x4 = 0

x4 + x5 = 0

x1 + x2 + x3 + x4 + x5 = 0

We can use row reduction to solve this system of equations:

[1 1 0 0 1; 1 1 1 0 0; 1 0 1 1 0; 0 0 1 1 1; 1 1 1 1 1] => [1 0 0 -1 0; 0 1 0 1 0; 0 0 1 1 0;

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Answer:

a and d on edge

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

Area of the circle S be 16π square. millimeter

What is an area of circle ?

The area of ​​a circle is the space the circle occupies in the two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of ​​the circle. The formula for the area of ​​a circle is A = πr2, where r is the radius of the circle. A unit area is a unit square. Examples: m2, cm2, in2, etc. Circle area = π\(r^{2}\)in square units (Pi)π = 22/7 or 3.14. Pi (π) is the ratio of the circumference to the diameter of any circle. This is a special mathematical constant.

It is given that the radius of circle S is half the radius of circle L and the radius of circle L is 8 millimeters.

Radius of the circle S = 8/2 = 4 millimeters

Area of the circle S = π\(r^{2}\) = π\((4)^{2}\) = 16π square. millimeter

Therefore, area of the circle S be 16π square. millimeter

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The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

Brand A:

7.97/48 = 0.16604166666 = approx $0.17 per pencil

Branch B:

9/72 = 0.125 = approx $0.13 per pencil

Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.

Answer:

13/3

7/5

11/3

33/8

17/10

11/2

19/8

I hope you ain't get hit, if so, find another family member to stay with :/

13) The best prediction is that the college will need about 480 cookies.

14) The correct answer is Bus 47, with a median of 16.

For Question 13:

The total number of students surveyed is 225. Out of these, 27 students prefer cookies. So, we can estimate that approximately (27/225) * 4000 = 480 students will prefer cookies.

Therefore, the best prediction is that the college will need about 480 cookies.

For Question 14:

The correct graph for displaying the data is a bar graph with the title "Favorite Sport" and the x-axis labeled "Sport" and the y-axis labeled "Number of Students". The first bar should be labeled "Basketball" and go to a value of 17, the second bar should be labeled "Baseball" and go to a value of 12, the third bar should be labeled "Soccer" and go to a value of 27, and the fourth bar should be labeled "Tennis" and go to a value of 44.

For Question 15:

We can see that the median for Bus 18 is (10+12)/2 = 11 and the median for Bus 47 is (16+16)/2 = 16. Therefore, Bus 47 typically has the faster travel time.

The correct answer is Bus 47, with a median of 16.

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Answer:

i think 30

Step-by-step explanation:

the best choice

Answer:

B-30º

Step-by-step explanation:

If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, the conditional probability that she does, in fact, have the disease is 1.55%.

The given problem is related to conditional probability. We need to find the probability of a person having the disease given that the test result is positive.

Let A be the event that a person has the disease and B be the event that the diagnostic test indicates that she has the disease.

Given, P(A) = 0.02 (2% of the population has the disease)

P(B|A) = 0.9 (the test correctly detects the disease in 90% of individuals who actually have it)

P(B|A') = 0.1 (the test will report that a person does not have the disease with probability 0.9)

We need to find P(A|B), i.e., the probability of a person having the disease given that the test result is positive.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

We can calculate P(B) using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

P(B) = 0.9 * 0.02 + 0.1 * 0.98

P(B) = 0.018 + 0.098

P(B) = 0.116

Now, substituting these values in Bayes' theorem, we get:

P(A|B) = 0.9 * 0.02 / 0.116

P(A|B) = 0.0155 or 1.55%

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Answer:

22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x and 45° are corresponding angles and are congruent , then

x = 45 → A

Answer:

r = 8

Step-by-step explanation:

7r - 8 = 5r + 8 (opposite angles are equal)

7r - 5r = 8 + 8

2r = 16

r = 8

Therefore, r is equal to 8

Answer:

7

Step-by-step explanation:

area = l * w

we know one side is 12, and area = 84, so

84 = 12x

divide by 12

x = 7

Answer:

3²

Step-by-step explanation:

3³x3³=3^6

3^6÷3^4=3²

Non-normal distributions can take various forms, therefore, the correct answer is "All of the above."

A normal distribution, also known as a Gaussian distribution or bell curve, is characterized by a symmetrical shape with the majority of data points clustered around the mean, and the tails extending equally in both directions. However, real-world data often deviate from the normal distribution pattern.

Right-skewed distribution: This distribution is also known as positively skewed or right-tailed. It occurs when the tail of the distribution extends towards higher values, while the majority of the data is concentrated towards lower values.

Left-skewed distribution: Also referred to as negatively skewed or left-tailed, this distribution exhibits a tail extending towards lower values, while the bulk of the data is clustered towards higher values.

Leptokurtic distribution: Leptokurtic distributions have a higher peak and heavier tails compared to the normal distribution. They are characterized by a greater concentration of data points around the mean and a higher probability of extreme values.

Platykurtic distribution: Platykurtic distributions have a flatter shape and lighter tails compared to the normal distribution. They exhibit a lower peak and a lower probability of extreme values.

In summary, non-normal distributions encompass various shapes and characteristics, including right-skewed, left-skewed, leptokurtic, and platykurtic distributions. Therefore, all of the options provided are examples of non-normal distributions.

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Answer:

$40928.57

Step-by-step explanation:

(5·36500 + 2·52000) / (5 + 2) = 40928.57

To solve this problem efficiently, we can follow a simple algorithm: Create an empty list to store the even numbers.

Start from the largest possible even number, which is N rounded down to the nearest even number.

Check if N is even. If not, decrease N by 1 to make it even.

While N is greater than 0, add the current even number to the list and subtract it from N.

If N becomes 0, return the list of even numbers.

If N becomes negative or if the list contains duplicates, return an empty list.

If the current even number is not a valid option, decrease it by 2 and repeat steps 4-7.

This algorithm ensures that we use the largest possible even numbers first, which maximizes the number of even integers in the sum. It terminates when N is divided into a maximal number of positive even integers or when it is not possible to divide N in such a way.

The algorithm has a time complexity of O(N) since we iterate through N/2 even numbers at worst. This complexity is efficient for the given input range of up to 100,000,000.

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