equations c= 5/9(F-32

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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A) If the Permutation occurs when order of choices matters will be; 24 ways

B) If the Combination occurs when order of choices doesn't matter will be; 4 ways

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Assume that we want to choose 3 letters without replacement from the 4 letters A B C and D.

a) Permutation occurrs when order of choices matters;

N = 4P3 = 4!/(4-3)! = 4!/1!

N = 24 ways

b) Combination occurs when order of choices doesn't matter;

N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)

N = 4 ways

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The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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The percentage of a discount on a blouse will be 21.87%.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that Sue bought a blouse for $96 and received a discount amount of $28.

The discount percentage will be calculated as below:-

First, calculate the total cost of the blouse that adds the actual price and the discount amount.

Total price = 96 + 28 = 128

The percentage discount will be calculated as below:-

Discount percentage = 28 / 128 = 27.87%

Therefore, the percentage of a discount on a blouse will be 21.87%.

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Answer:

  16

Step-by-step explanation:

You want to simplify an expression involving fractional powers.

The expression can be simplified to ...

  \(\displaystyle 8^\frac{1}{3}+16^\frac{1}{4}-(-2)^2+8^\frac{4}{3}=\sqrt[3]{8}+\sqrt[4]{16}-4+(\sqrt[3]{8})^4\\\\=2+2-4+2^4=\boxed{16}\)

__

Additional comment

Your calculator can help.

The relevant relation is ...

  \(x^\frac{m}{n}=\sqrt[n]{x^m}=(\sqrt[n]{x})^m\qquad\text{for }x\ge0\)

The value of the given expression is 22.

The given expression is \(8^{\frac{1}{3} }+16^{\frac{1}{4} } -(-2)^2+8^{\frac{4}{3}}\).

Here, change all the terms in the power of 2.

So, \((2^3)^{\frac{1}{3} }+(2^4)^{\frac{1}{4} } -(-2)^2+(2^3)^{\frac{4}{3}}\)

= 2+2+2+2⁴

= 2+2+2+16

= 22

Therefore, the given expression simplified to 22.

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Answer: 13

Step-by-step explanation:

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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Answer:

5/21 = 0.2381

Hope this helps!

Answer:

0.238095

Step-by-step explanation:

The missing value of the probability distribution is 0.05.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

X     :   0         1           2        3        4

P(X) :   0.30   0.25   0.25   0.15     ?

A discrete probability distribution function has two characteristics:

P(X = 4) = 1 - (0.30 + 0.25 + 0.25 + 0.15)

Apply the addition operation,

P(X = 4) = 1 - 0.95

Apply the subtraction operation to get

P(X = 4) = 0.05

Therefore, the missing value of the probability distribution is 0.05.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:2x34=344343

Step-by-step explanation:32323=23=232

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

Answer:

\(\huge\boxed{\sf 62}\)

Step-by-step explanation:

Let the two consecutive numbers be x and x + 1.

Given condition is:

x + x + 1 = 125

2x + 1 = 125

Subtract 1 to both sides

2x = 125 - 1

2x = 124

Divide 2 to both sides

x = 62

So, the numbers are:

x = 62

x + 1 = 62 + 1 = 63

So, the smallest number is 62.

\(\rule[225]{225}{2}\)

Hope this helped!

if the sum of two consecutive numbers is 125 then the smallest number is?

62

Let the first number be x

Let the second number be x+1

=> x + x + 1 = 125

=> 2x + 1 = 125

=> 2x = 125-1

=> 2x = 124

=> x = 124/2

=> x = 62

First number = 62

Second number = x+1 = 62+1 = 63

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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The greatest common factor of 4, 8 and 12 is 4

The first number = 4

The second number = 8

The third number = 12

The GCF is stands for greatest common factor.

To find the greatest common factor use the prime factorization method

Prime factorization

Factorize the number 4 = 2 × 2

Factorize the number 8 = 2 × 2 × 2

Factorize the number 12 = 2 × 2 × 3

Here we have to take the common terms from the prime factorization

The greatest common factor = 2 × 2

Multiply the number

= 4

Therefore, the greatest common factor is 4

I have solved the question in general,  as the given question is incomplete

The complete question is:

What is the GCF of 4 and 8 and 12?

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The value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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Answer:

Step-by-step explanation:

If you make $54,000 a year living in the region of California, USA, you will be taxed $9,450. Your average tax rate is 9.01% and your marginal tax rate is 22%. This marginal tax rate means that your immediate additional income will be taxed at this rate.

Answer:

a: 1/8 and 1/4. b: 1/2 1/4. c: 1/1 and 5/12. d: 1 1/2 and 3/4

Step-by-step explanation:

You had to find 2 fractions that add up to a number between the two numbers listed.

The answer is -4.29523809524 . (The second period is NOT another point. It’s just marking the end of a sentence. Yes, I’m a grammar & math freak)

Answer:

-4.29523809524

Step-by-step explanation:

Answer:

\((m^{\frac{1}{3} })^{\frac{1}{5} }= m^{\frac{1}{15} \\\\\)

9514 1404 393

Answer:

  y = 6·2^x

Step-by-step explanation:

The general form can be written as ...

  y = a·b^x

The value of 'a' is the value of y when x=0. That is 6.

The value of 'b' is the ratio of y-values when x differs by 1. b = 12/6 = 2.

So, the equation of interest is ...

  y = 6·2^x

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

The answer is: [D]:  "None of the choices are correct."

_________________________________________________________

Note:

_______________________________________________________

x/10 = 10/18 ;

The "10's" cancel to "1" ; since "10÷10 = 1" ;

x/1 = 1/18 = 1 ÷ 18 =  0.0555555555555556

The answer is:  [D]:  "None of the choices are correct."

_________________________________________________________