36 votes there were 80 memebers in the club. what percentage of the club memeber voted for Abdul

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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2 is 5% of 40

Hope it is useful

The operation table for x is not a group, because it does not have an identity element. The operation table for + is a group because it satisfies all of the group axioms. The operation table for * is a group because it satisfies all of the group axioms.

The operation tables provided are for the following operations:

a. ×, where × is 0 or 1.

b. +, where + is addition modulo 2.

c. *, where * is multiplication modulo 2.

The operation table for x is not a group because it does not have an identity element. The identity element of a group is an element that, when combined with any other element of the group, leaves that element unchanged. In this case, there is no element that, when combined with 0 or 1, leaves that element unchanged.

For example, if we combine 0 with x, we get 0. However, if we combine 1 with x, we get 1. This means that there is no element that, when combined with 0 or 1, leaves that element unchanged. Therefore, the operation table for x is not a group.

The operation table for + is a group because it satisfies all of the group axioms. The group axioms are:

Closure: The sum of any two elements of the group is also an element of the group.

Associativity: The order in which we combine three elements of the group does not affect the result.

Identity element: The element 0 is the identity element of the group. When combined with any other element of the group, it leaves that element unchanged.

Inverse elements: Every element of the group has an inverse element. The inverse of an element is an element that, when combined with that element, gives the identity element.

In the case of the operation table for +, the element 0 is the identity element, and every element has an inverse element. Therefore, the operation table for + is a group.

The operation table for * is a group because it satisfies all of the group axioms. The group axioms are:

Closure: The product of any two elements of the group is also an element of the group.

Associativity: The order in which we combine three elements of the group does not affect the result.

Identity element: The element 1 is the identity element of the group. When combined with any other element of the group, it leaves that element unchanged.

Inverse elements: Every element of the group has an inverse element. The inverse of an element is an element that, when combined with that element, gives the identity element.

In the case of the operation table for *, element 1 is the identity element, and every element has an inverse element. Therefore, the operation table for * is a group.

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The complete Questions is:

Fill out these operation tables and determine if each is a group or not. If it is a group, show that it satisfies all of the group axioms. (You may assume that all of these operations are associative, so you do not need to prove that.) If it is not a group, write which group axiom(s) they violate.                                                                                                                           a. CIRCLE: Is this a Group? YES   NO  Justification:                                                                                                                        

                  ×                            0      1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                                                                                                                                                                                                b. CIRCLE: Is this a Group? YES   NO   Justification:                                                                                                                        

                  +                            0      1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                                                                                                                                                                                                c. CIRCLE: Is this a Group? YES   NO   Justification:                                                                                                                        

                  *                            0       1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                            

Answer:8 is the answer

Step-by-step explanation:

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

No solutions

Step-by-step explanation:

First, distribute on the left side of the equation:

2 ( x + 1 ) = 2x - 5

2x + 2 = 2x - 5

Subtract 2x from each side:

2x + 2 = 2x - 5

2 = -5

Add 5 to each side:

2 = -5

7 = 0

7 ≠ 0

There are no solutions

Hii :))

\( \tt \: 2(x + 1) = 2x + 5 \\ \tt \: 2x + 2 = 2x - 5 \\ \tt \: 2x - 2x = - 5 - 2 \\ \underline {\underline{\tt \: 0 \: \bcancel{=} \: 7x}}\)

Since LHS isn't equal to RHS, the equation will have 2) no solution.

__________________

\(\overbrace{ \underbrace{ \mathfrak{ \: \infty \: Carry \: on \: Learning \: \infty }}}\)

ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

Angle 2 is 49° because it is part of a pair of verticle angles, meaning it is directly opposite from the angle that is 49°. Verticle angles have the same measurement.

Angle 1 is 63°. You know that because the three angles of a triangle always add up to 180°, and you already know that the other two angles are 49° and 68°.

180 - 49 - 68 = 63

Angle 3 is 87°. It is part of a linear pair with 93°, meaning they intersect at the same point. Linear pairs add up to 180°.

180 - 93 = 87

Angle 4 is 44° for the same reason as angle 2.

180 - 49 - 87 = 44

Answer:

\(the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} \)

Answer:

An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.

Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.

Answer:

What is an equation of the line that passes through the point (-5,8) and is parallel to the line x + y = 8?

Equation of a Line:

There are different ways in solving for the equation of a line depending on the given values. The slope-intercept form can be used when the slope and y-intercept are given. Also, the point-slope form can be used when the slope and a point in the line are given.

Answer and Explanation: 1

Given:

a line that passes through the point

(

−

5

,

8

)

where

x

1

=

−

5

and

y

1

=

8

parallel to the line

x

+

y

=

8

Since parallel lines has the same slope, we solve for the slope of the equation

x

+

y

=

8

by transforming it to its slope-intercept form

y

=

m

x

+

b

where

m

is the slope.

x

+

y

=

8

y

=

−

x

+

8

m

=

−

1

Now, we have a slope

(

m

=

−

1

)

and a point in the line

(

x

1

=

−

5

,

y

1

=

8

)

, we can write an equation of the line using the point-slope form

y

−

y

1

=

m

(

x

−

x

1

)

y

−

y

1

=

m

(

x

−

x

1

)

y

−

8

=

−

1

(

x

−

(

−

5

)

)

y

−

8

=

−

1

(

x

+

5

)

y

−

8

=

−

(

x

+

5

)

Therefore, the equation of the line can be written as

y

−

8

=

−

(

x

+

5

)

the equation of line which passes through point (8,-5) and is parallel to line x+y = 8 is y = -x +3.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

x + y = 8

which passes through point (8,-5)

Let us first find the slope of line m which is parallel to the line x + y = 8 using point-intercept equation of line that is given by :

y = mx + c....(1)

x + y = 8

y = -x + 8

comparing above equation with equation (1) we get

m = -1

Now, the slope of line parallel to line x + y = 8 will have same slope that is m = -1

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-5)) = -1(x-8)

(y+5) = -x+8

y + 5 = -x +8

y = -x +3

Therefore, the equation of line which passes through point (8,-3) is y = -x +3.

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Answer:

\(m = - \frac{1}{2}\)

Step-by-step explanation:

hope this helps!

The statement opportunity cost for Germany to produce 1 beer is 1/2 motorcycles is true.

The German economy would be better off if it produced beer and traded motorcycles with the US.

Germans would benefit from specializing in producing beer and engaging in trade with the United States since their opportunity cost is lower (1/2 is less than 3).

A country is said to be having a comparative advantage in producing a good if it can produce it at a lower opportunity cost. Germany has a lower opportunity cost in producing beer so it has a comparative advantage in making beer.

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Answer: x=0.1

Step-by-step explanation:

Given

The function is given by \(F(x)=x^2-0.2x+0.01\)

A standard quadratic equation is given by \(ax^2+bx+c=0\)

The given equation has an exponent of x as 2 which confirms it is a quadratic equation. Compare it with the standard equation

\(a=1,b=0.2,c=0.01\)

Therefore, the given equation is the quadratic equation.

Its solution is given by

\(\Rightarrow x=\dfrac{0.2\pm \sqrt{(-0.2)^2-4\times 1\times 0.01}}{2\times 1}\\\\\Rightarrow x=0.1\)

Answer:

(- 4, 17 ) and (2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = x² - x - 3 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - x - 3 into (2)

x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )

x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )

Answer:

10.5

Step-by-step explanation:

7.5/5=1.5

1.5x7=10.5

Answer:10.5

Step-by-step explanation

7.50 divided by 5 = 1.5

1.5 times 7 = 10.5

A frequency table would be useful for representing the age of students, majors, gender, and state of residence in a business statistics course.

A frequency table is a tabular representation of data that shows how often each value of a variable occurs. For example, a frequency table for the age of students in a business statistics course would list the different age groups and the number of students in each group. Similarly, a frequency table for the majors of students would list the different majors and the number of students in each major. A frequency table for gender and state of residence would also list the different categories (e.g. male/female or different states) and the number of students in each category.

In general, a frequency table is useful for representing categorical data, such as gender, majors, or state of residence, as well as numerical data, such as age, when the data is discrete or has a limited number of possible values.

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Answer:

neither, it should be 5, but there is no 5

Step-by-step explanation:

first of all c and d are too much to be the quotient. Also eliminate b and a, its none of the above

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

Answer: 4.2

Step-by-step explanation:

Answer:

3 * (x + 7)

Step-by-step explanation:

Mark number as x

Then the sum of a number and seven is x + 7

Three times x + 7 can be written as

3 * (x + 7)

Parentheses mean that we first add x and 7 and then multiply their sum by 3

Alternatively you can write it as 3x + 21, since

3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21

Answer:

\(17\sqrt{3}\)

Quiz Results:

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

Remember that we took

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

\(\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd\)

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

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Answer:

D) 2 1/2

Step-by-step explanation:

Answer:

D) 2 1/2

Step-by-step explanation:

Hope this helps! I for sure this is the answer haha

Answer:

\( \frac{ {x}^{7} + 2x - 64 }{x} \)

Step-by-step explanation:

\( {x}^{6} - 64 \div x + 2\)

➡️ \( {x}^{6} - \frac{64}{x} + 2\)

➡️ \( \frac{ {x}^{7} - 64 + 2x }{x} \)

➡️ \( \frac{ {x}^{7} + 2x - 64 }{x} \)