If using the method of completing the
square to solve the quadratic equation
2²+3x+37= 0, which number would
have to be added to "complete the
square"?

The probability that a bike is green given that it has road tyres is 2/3

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we have:

Number of bikes that are green and road tyres = 4

Number of bikes that are road tyres = 6

The probability is then calculated using the following formula

Probability = Number of bikes that are green and road tyres/Number of bikes that are road tyres

Substitute the known values in the above equation, so, we have the following representation

Probability = 4/6

Simplify

Probability = 2/3

Hence, the value of the probability is 2/3

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All the properties of whole numbers are closed under addition and multiplication.

Whole numbers are a set of natural numbers including zero, but the set does not include fractions, decimals, and negative integers. The set of whole numbers is represented by ‘W’={0, 1, 2, 3, 4, 5, …...}

To check if the whole numbers are closed under subtraction or not we will check out the four properties namely, the closure property, the commutative property, the associative property, and the distributive property.

Let us consider each property one by one -

1. The closure property-

let's take two whole numbers say 5 and 3.

now, 5+3=8

and 5 × 3 =15

Thus, whole numbers are closed under addition and multiplication by closure property.

2. The commutative property-

let's take two whole numbers say 5 and 3.

now, 5+3=8 and 3+5=8,

hence, we get 3+5 = 5+3.

Also, 5 × 3 =15 and 3 × 5 =15

hence, we get 5 × 3 = 3 × 5

Thus, whole numbers are closed under addition and multiplication by commutative property.

3. The associative property-

let's take three whole numbers say 5, 3, and 1.

now (5+3)+1 = 9 and 5+(3+1)= 9

hence, we get (5+3)+1 = 5+(3+1).

Also, (5×3)×1 = 15 and 5×(3×1)= 15

hence, we get (5×3)×1 = 5×(3×1).

Thus, whole numbers are closed under addition and multiplication by associative property.

4. The distributive property-

let's take three whole numbers say 1, 6, and 5.

now, 1 × ( 6 + 5 ) =  1 + 6 – 1 × 5  = 1

        and 1 × ( 6 – 5 ) = 1 × 1 = 1

Hence, 1=1.

Also,  1 × (6×5)= (1 × 6) × (1 ×5) = 6 × 5 =30

and  1 × (6×5) = 1 × 30 =30

hence, we get 30=30.

Thus, whole numbers are closed under addition and multiplication by distributive property.

Hence, we can conclude that all the properties of whole numbers are closed under addition and multiplication.

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The complete question is-

What properties are whole numbers closed under addition and multiplication?

If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.

Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.

Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ

where Xᵢ are observation and pᵢ probability of Xᵢ.

We have given that,

Total number of cards in standard card deck = 52

i.e total possible outcomes = 52

One card is drawn from deck.

Total number of king cards in 52-card deck = 4

Favourable outcomes that drawn card is king = 4

Probability of getting a king card , p = 4/52 = 1/13

Probability of not getting a king ,q = 1 - p

= 1 - 1/13 = 12/13

let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is

Xᵢ pᵢ

$20 1/13

-$1 12/13

So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13

Hence, required excepted value is 8/13.

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Answer:

1=140  2=7

Step-by-step explanation:

The explicit equations that describe the values in the table are y = 7(x - 57) - 49 and y = 7x - 448

From the question, we have the following parameters that can be used in our computation:

As x increases by 1, y increases by 7

This means that the slope (m) is

m = 7

A linear equation is represented as

y = m(x - X) + Y

In this case, we have

(X, Y) = (57, -49)

m = 7

Substitute the known values in the above equation, so, we have the following representation

y = 7(x - 57) - 49

Expand

y = 7x - 448

Hence, the equation is y = 7x - 448

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Answer:

(-infinity, -2) ∪ (-3, infinity).

Step-by-step explanation:

To solve this compound inequality, we need to first solve each inequality separately. For the first inequality, 4(z+1) > -4, we can distribute the 4 to get 4z + 4 > -4. Then, we can subtract 4 from both sides to get 4z > -8. Finally, we can divide both sides by 4 to get z > -2.

For the second inequality, 2z - 4 < -10, we can add 4 to both sides to get 2z < -6. Then, we can divide both sides by 2 to get z < -3.

Now that we have solved both inequalities, we need to consider their intersection. Since the inequalities are joined by the "or" operator, the solution is the union of the solutions to each inequality. In interval notation, this is represented as the union of the intervals (-infinity, -2) and (-3, infinity).

Therefore, the solution to the compound inequality in interval notation is (-infinity, -2) ∪ (-3, infinity).

Answer:

2.5 feet = 30 inches.

Step-by-step explanation:

Let L = length not carpeted

L = 400/30

L = 13.3333333333

L = 13.33 inches

After solving for the internal angles of the given figure, we know that the value of ∠C is 44°.

An angle is formed when two straight lines or rays meet at a single terminal.

The place where two points converge is known as an angle's vertex.

The name "angel" comes from the Latin word "angulus," which means "corner."

Acute, obtuse, right, straight, reflex and full rotation are examples of basic angles.

By joining two rays at their termini, a geometric shape known as an angle is produced.

An angle is often stated in degrees.

So, let the angle is x.

2x + 3 + 3x + 9 + 2x - 4 + x = 360

Now, calculate for x as follows:

8x + 12 - 4 = 360

8x + 8 = 360

8x = 360 - 8

8x = 352

x = 352/8

x = 44°

Therefore, after solving for the internal angles of the given figure, we know that the value of ∠C is 44°.

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The maximum number of friends that he can invite without going over his limit is 9.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Fixed fee = $50

Suppose the number of people is x.

Total fee = 50 + 5.50x

Total fee ≤ budget

50 + 5.50x ≤ 100

5.50x ≤ 50

x ≤ 9.09 thus, x = 9

Hence "The maximum number of friends that he can invite without going over his limit is 9".

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Answer:

96 m²

Step-by-step explanation:

area = base × height

area = 8 m × 12 m

area = 96 m²

Answer:

25

Step-by-step explanation:

3x3= 9 5x3 =15 9+15 = 25

Answer:

24 cm^2

Step-by-step explanation:

there are 2 different types of triangles in this photo

2 3 by 3 cm triangles and 2 5 by 3 triangles

3x3=9

9/2=4.5 cm^2

5x3=15

15/2

7.5 cm^2

now add these

7.5+4.5

12

and now multiply by 2

12x2

24

hopes this helps

Expression for the earnings per person = $75/n

What is loss?

The amount of loss on any commodity expressed as a percentage is referred to as the loss percentage. Additionally known as percentage loss. Any time a commodity's selling price is less than its cost price, we consider this to be a loss. The magnitude of this loss may be determined by calculating the difference between the cost price and the selling price. The loss percentage measures the loss as a proportion of the actual cost price.

Given: company loss=$75

no. of owners =n

The loss must be split evenly between the two business owners.

Therefore, we must split the sum of money in order to determine how much each individual receives.

=$75/n

Expression for the earnings per person = $75/numer of owners

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The length of a side of the square is  8 unit.

Area of Square:

The area of ​​a square is defined as the number of square units required to fill the square. Area is generally defined as the area occupied within the bounds of a planar object. Measurements are in square units and the default unit is square meters (m²).

Area of a Square = Side × Side

Therefore, the area of square = Side²  square units

and, the perimeter of a square = 4 ×  side units

Given:-

Area of square is equal to twice its perimeter

To find:-

Side of square = ?

Now,

Let the side of square be a

Perimeter of square=4a

Area of Square = a²

Now,

According to the Question:

  Area of Square = 2 × Perimeter of Square

⇒ a² = 2 ×4a

⇒ a² = 8a

⇒ a = 8.

Therefore, the side of square is 8 unit.

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Answer: No

Step-by-step explanation:

Because 73 can't be divided by 2, it is not a factor!

Answer:

No

Step-by-step explanation:

2 is not a factor because 73 is an odd number

2 is only a factor of even numbers with the exception of 0 (if you believe it is an even number)

Hope this helped and have a good day

Using the basic percentage change rule, the answer is 6.5%.

In essence, percentages are fractions with a 100 as the denominator. In order to indicate that a number is a percentage, the percent symbol (%) is placed next to the number.

The required formula is:

[tex]Percentage = \frac {change}{inital} * 100[/tex]

initial=72000

final=76680

change=76680-72000

=4680

% change = 4680 / 72000 * 100

=6.5%

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If the speed of the vehicle is greater than or equal to 60 miles per hour, the angle will be greater than or equal to zero and the trooper should issue a ticket.

Distance is defined as the product of speed and time.

If the speed limit is 50 miles per hour and a speeding ticket is issued for speeds of 10 miles per hour or more over the limit, then the trooper should issue a ticket for any speed greater than 50 + 10 = 60 miles per hour.

In general, the speed of a vehicle is given by the formula v = d/t, where v is the speed, d is the distance traveled, and t is the time it takes to travel that distance.

The angle at which a speeding ticket should be issued is determined by the ratio of the speed of the vehicle to the speed limit. If the speed of the vehicle is greater than the speed limit, then the ratio of the speed of the vehicle to the speed limit will be greater than 1.

Therefore, the trooper should issue a ticket for any angle that is equal to or less than 1.

Alternatively, you could also say that the trooper should issue a ticket when the angle is greater than or equal to zero. Since any number divided by 1 is equal to the original number, this means that the angle will be equal to the speed of the vehicle in miles per hour.

Therefore, if the speed of the vehicle is greater than or equal to 60 miles per hour, the angle will be greater than or equal to zero and the trooper should issue a ticket.

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Answer:

Step-by-step explanation:

s = 20, t = 4

s = 30, t =?

[tex]\frac{20}{4} = \frac{30}{t}[/tex]

[tex]20t = 120 \\t = 6[/tex]

∴ t is 6 when s is 30.

Answer:

351.9 cubic inches

Step-by-step explanation:

The volume formula for a cylinder is:

[tex]V=\pi r^{2} h[/tex]

r is the radius

h is the height

To find the radius, we simply divide the diameter by 2 since the radius is have of the diameter. This will give us 4. Now we just put our values into the formula and solve with a calculator:

[tex]V=\pi (4^{2}) (7)\\V=\pi 16(7)\\V=\pi 112\\V=351.85\\[/tex]

The rounded number is 351.9

The range is all real integers bigger than or equal to the range's y-coordinate if a quadratic function opens up. All real integers less than or equal to the range's y-coordinate are in the range if a quadratic function opens downward.

In the given question we have to explain, how we can find the range of a quadratic graph.

Because it is the most fundamental quadratic function, all quadratic functions collectively can be referred to as a family, with this particular function serving as the parent (i.e., not transformed in any way). This function can be used to start broadly generalising the domains and ranges of quadratic functions.

The range is partly determined by the pivotal point, or vertex. The parabola's opening direction is the other. The range is all real integers bigger than or equal to the range's y-coordinate if a quadratic function opens up. All real integers less than or equal to the range's y-coordinate are in the range if a quadratic function opens downward.

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There are 11/18 miles does the car travel in 1 minute.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car travels 2 3/4 miles in 4 1/2 minutes.

Now,

Since, A car travels 2 3/4 miles in 4 1/2 minutes.

Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2

                                                                       = 11/4 ÷ 9/2

                                                                       = 11/4 × 2/9

                                                                       = 11/18 miles

Thus, The car travel 11/18 miles in 1 minute.

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Answer:

0.15- Strong Association

-0.21 - Weak Association

0.71- Strong Association

0.55-Moderate Association

A cramers V value of O = No relationship, 0.2 or less = Weak relationship, from 0.21 to 0.3 = moderate, and above 0.3 = Strong relationship.

Answer:

The equation y = 34x - 2 is the slope-intercept form of the equation y = 34x + b, where b is the y-intercept, which is the point where the line crosses the y-axis. The value of b in this case is -2, so the equation can be written as y = 34x - 2. This form of the equation makes it easy to find the slope (which is 34 in this case) and the y-intercept (which is -2 in this case) of the line.

Answer:

63

Step-by-step explanation:

trial and error aint that hard

The dimension of a rectangle is 17m and 17m.

Here we have to find the area of a rectangle as large as possible.

Data given:

Perimeter = 68m

The formula for the perimeter of the rectangle:

perimeter = 2(length + breadth)

68 = 2( l + b)

l + b = 34

We have to find the largest area, so when we will take the length and breadth same then we get the largest area.

So length = breadth

2 length = 34

length = 17m

length = breadth = 17m

Therefore the dimensions are 17m and 17m.

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According to ERG theory, frustration over not being able to satisfy a higher-order need may cause regression to a lower level.

ERG theory is a psychological theory put forth by Clayton Alderfer.

ERG concept, An individual will put more effort into the higher category once needs in the lower category are met. An individual will put more effort into the lower category if needs in the higher category are not met.

Maslow's hierarchy of needs was further developed by Alderfer by being categorised into his ERG theory (Existence, Relatedness and Growth). The necessity of meeting the essential material needs of people falls under the existence category. Concerned in the relatedness category is the desire to uphold significant interpersonal connections.

The desire for personal growth is addressed in the growth category. These include the self-actualization traits and the intrinsic component from Maslow's esteem category.

in a simple manner we define the three stages of ERG theory

1. Existence -  what we need from a physiological point of view .

examples- a house , healthcare, etc.

2- Relatedness -  our social needs.

examples -  friendship, social connectivity, national identity, etc.

3-growth -  Self-realization needs.

examples- feelings , success, failure ,etc.

Hence, ERG Theory suggests that failure to meet higher-order need may trigger regression to an already fulfilled lower-order need.

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There are four students who studied more than 5 hours.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The scatterplot shows the number of hours of study for 10 students and their scores on a state test.

The x axis represents the number of study hours and y represents the test scores.

A scatterplot is a type of data display that shows the relationship between two numerical variables

From the graph, there are 5 students who have studied less than 5 hours and 1 student is studied for 5 hours and Remaining students were studied more than 5 hours.

Hence, there are four students who studied more than 5 hours.

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Answer:

the answer is C! hope this helps!! in which it will

Steps to solve linear equations;

Given,

Linear equations;

The typical form for linear equations with two variables is Ax + By = C. For instance, the equation 2x + 3y = 5 is a standard form linear equation. Finding both intercepts of an equation in this style is quite easy (x and y).

Here,

To resolve linear equations, follow these steps:

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Answer:

6

Step-by-step explanation:

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Answer:

six

Step-by-step explanation:

8 plus 11 subyract 13