Simplify the expression (6^4)2.

Answer:

The fifth salary = $49,000

Step-by-step explanation:

Let x be the fifth salary

Total salary = $36,000, +  $45,000 + $28,000 + $32,000 + x

= $141,000 + x

The average of 5 salaries is $38,000

Total = Average x number of elements

= 38000 x 5 = 190,000

Equating the two totals

141,000 + x = 190,000

Subtract 141, 000 from both sides

x = 190,000 - 141, 000

x = $49,000

So the fifth salary = $49,000

The best Measures of Center for the data set: 3, -26, -1, -5, 4, 1, 3 is median

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

3, -26, -1, -5, 4, 1, 3

In the above dataset, the observation -26 is an outlier

This is so because -26 is relatively far from other observations

When a dataset has an outlier, the best measure of center to use is the median

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Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.

What in mathematics is a linear system?

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

                          Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.

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The simplified form of the given expression is 2a+b/2b+a.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is [tex]\frac{\frac{1}{a}+ \frac{2}{b} }{\frac{2}{a}+ \frac{1}{b} }[/tex].

The expression can be simplified as follows

[tex]\frac{\frac{b+2a}{ab} }{\frac{2b+a}{ab} }[/tex]

= 2a+b/2b+a

Therefore, the simplified form of the given expression is 2a+b/2b+a.

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The students who took notes by hand understood better than those who took lecture notes on laptop.

When students take notes by hand, during writing the notes they understand the concept, and their brains will store the information and they can memorize it easily. This is the best method for conceptual understanding and it will improve the analytical thinking and problem-solving skills of the student.

Instead of adopting the more conventional approach of concentrating on learning on topics, conceptual learning includes students engaging in high-quality learning experiences built around important concepts and essential ideas. Conceptual is a term used to describe ideas and mental constructs.

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Answer:

x<2

Step-by-step explanation:

this is correct answer

Answer:

18 3/4

Step-by-step explanation:

Answer:

18 3/4 or 75/4

Step-by-step explanation:

Disregarding intermediate, let's assume she has access to a letter that can be powerful or weak. Let's say she receives a persuasive letter. If she receives a strong letter, her chance of being hired is then increased.

P(J|S)

If, however, she receives a subpar letter, Considering since she received a subpar cover letter, her chances of landing the job are slim.

P(J|W)

Let's assume that we have some knowledge of such two numbers. I believe

In addition, we recognize how likely it is that she will receive either one or both letters: P(J|S)=0.8 P(J|W)=0.1

Note that P(S)+P(W)=1 since there are only two possibilities: P(S)=0.7 and P(W)=0.3.

P(J)=P(J|S) P(S)+P(J|W) P(W)

This is a representation of two distinct directions that could be taken. In one, we receive a compelling letter and ponder if she'll be hired in light of that compelling letter. As a result of the weak letter from the other, we are unsure if she will be hired. We give the pathway carrying the formal letter a higher weight because there is a substantially larger chance of receiving it compared to a weak letter.

The law of probability value is used in this situation.

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By using the formula for permutation, we can find that there are 2,598,960 possible combinations of 5 cards that can be dealt from a standard deck of 52 cards.

Poker is a popular card game that is played with a standard deck of 52 cards.

A permutation is the arrangement of objects in a specific order. In this case, the objects are the 52 cards in a standard deck, and the order is the 5 cards that are dealt to each player.

To find the number of possible 5-card hands, we can use the formula for permutation:

P(52, 5) = 52! / (52 - 5)!

Where "52!" is the factorial of 52, meaning the product of all positive integers from 1 to 52.

52! / (52 - 5)! = 806,368,039,360 / 47! = 2598960

The final answer is that there are 2,598,960 possible 5-card hands that can be dealt from a standard deck of 52 cards.

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Answer:

Step-by-step explanation:

g(2) = 3/2(2) + 4 = 3 + 4 = 7

Yes 12 inches converted to centimeters is around 30 cm

Answer: ok njnnnnnnnnnnnnnnnnnnnnnnnn

Carol has at least 7 garments in the dressing room.

Information given in the problem is

A store’s dressing room has a limit of 10 garments per customer

If Carol has at least 3 garments below the limit

the limit is 10 garments, this is the maximum number of clothes and Carol has 3 garments below the limit

we can conclude that Carol has at least

= 10 - 3

= 7

Carol has 7 garments in the dressing room.

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The equation that portrays the correct use of the distance formula is  6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the diagram;

Point A (5,6)

Point B (11,y₂)

Distance d = 6.71

Plug the given values into the distance formula.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² )

Therefore, the correct use of the formula is 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ).

Option D) 6.71 = √( ( 11 - 5 )² + ( y₂ - 6 )² ) is the correct answer.

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Temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

One variable that makes use of the scale interval is temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes.

One of the seven base units in the International System of Units is the kelvin (SI). The lowest point on the thermodynamic temperature scale is absolute zero, or zero Kelvin, or 273.15 °C.

Therefore, the temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.

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The probability of getting exactly two hearts from a well-shuffled standard deck of playing cards can be calculated as follows:Since there are 13 hearts in a standard deck of playing cards, the probability of getting a heart in one draw is 13/52

A heart card is one of the four suits in a standard deck of playing cards. The standard deck of playing cards has 52 cards, including 13 cards in each of the four suits: clubs, diamonds, spades, and hearts. The hearts suit is usually represented by a red heart symbol. Each suit has cards numbered from Ace to King.A standard deck of playing cards is a deck of playing cards that consists of 52 cards, including four suits: spades, hearts, diamonds, and clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King. The cards in a standard deck are usually used for playing a variety of card games, such as poker, solitaire, bridge, blackjack, and many others. The standard deck of playing cards has been used for centuries and is still widely used for both casual and professional gaming.

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When describing bell-shaped distributions statistically, the standard deviation is utilised along with the mean.

What does the mean actually measure?

While the standard deviation gauges the distribution's spread, the mean gauges the distribution's centre.

What is the purpose of standard deviation?

For the aim of quantifying dispersion, or the variation that takes place in the values of a data set that is taken into consideration, the standard deviation is used. The data points are said to be close to the mean when the standard deviation number is reduced. The opposite will occur when it is higher. In this way, it gauges how widely apart data points are from the mean.

Anything's predicted value is sometimes referred to as a mean. It is the object that serves as the focal point for all data points. The standard deviation determines how widely apart all the data points are from the mean, whereas the mean is the centre of the distribution.

What is the name of standard deviation?

Because it is the square root of the means of the squared errors from the arithmetic average, standard deviation is often referred to as root-mean square deviation. Standard deviation is a word used in economics to indicate how risky an investment is.

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The method of pay that would result in the most earnings for one month on sales of $60,000 would be: d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

The earnings can be calculated as follows:

a. Earnings =   6% of 60000  

Earnings = $3,600

b. Earnings = 1500 + .03(60000)

Earnings = 1500 + 1800

Earnings = $3,300

c. For the first $50,000: $50,000 * 4% = $2,000

For the remaining $10,000: $10,000 * 10% = $1,000

Total earnings: $2,000 + $1,000 = $3,000

d.  For the first  5 % ×40,000 = 2000

For the remaining (60,000-40,000) = .09 x 20000 = 1800

Total earnings :2000 + 1800 = $3,800

Therefore the correct option is D.

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The complete question is:

Choose the method of pay that would result in the most earnings for one month on sales of $60,000.

a. Straight commission of 6% on all sales.

b. Monthly salary of $1,500 plus 3% commission on all sales.

c. Graduated commission of 4% on the first $50,000 in sales and 10% on anything over that.

d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.

Answer:

To find the number of foxes after 22 years, we need to substitute x = 22/11 into the equation:

y = 50 * 4^(22/11)

Using a calculator or approximation, this expression evaluates to approximately 68,719.

So, after 22 years there will be approximately 68,719 foxes.

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Gross Pay = $3851

Deductions = $756.72

Take-home Pay = $3851 - $756.72 = $3,094.28

Ratio of take-home pay to gross pay = 3,094.28/3851 = 0.8035

As a percentage = 0.8035 x 100 = 80.35%

or approximately 80% to match the answer choice

Answer:

1123

Step-by-step explanation:

I did 6739 / 9 = 1123.

The special apr financing would initially offer the lowest monthly payment. The correct answer is the first option.

The monthly payment offered by "special APR financing" is likely to be the lowest among the options given. The "special APR financing" generally refers to a promotional interest rate offered by the dealership or the manufacturer, which can result in lower monthly payments. However, the total cost of the vehicle over the life of the loan could be higher compared to the other options.

It's always best to consider the total cost of the vehicle and compare the options based on the interest rate, loan term, down payment, and any additional fees before making a final decision.

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There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.

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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?

If the highest value is increased by 10 and the lowest is decreased by 10 the mean doesn't change

Let us assume the data set with 10 observations:

{5, 6, 4, 3, 2, 6, 4, 9, 4, 4}.

Arranging data set in ascending order

{2, 3, 4, 4, 4, 4, 5, 6, 6, 9}

Mean of this data = Sum of all observations/Total number of observations

Mean = (2 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 9)/10

Mean = 47/10 = 4.7

Now, Increasing the highest value by 10 and decreasing the lowest value by 10

So, the new data set is {-8, 3, 4, 4, 4, 4, 5, 6, 6, 19}

Mean of this data = -8 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 19/10

Mean = 47/10 = 4.7

Hence, the mean doesn't change.

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Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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Answer:

see below

Step-by-step explanation:

r=2

arc = 3π

clock area = π r² =4π

circumference = 2πr =4π

subtended arc =3π = 75% of the clock

360° for a full circle so its central angle is 270°

The vertical movement for the absolute value function in this problem is given as follows:

Move 3 units down.

The absolute value function of vertex at coordinates (h,k) is defined as follows:

y = a|x - h| + k.

For the parent absolute value function, the y-coordinate of the vertex is given as follows:

y = 0.

For the absolute value function -4|x + 5| - 3, the y-coordinate of the vertex is given as follows:

y = -3.

Hence the subtraction by 3 means that there was a movement of 3 units down.

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50%

since 98/2 = 49

Thats it

Answer:

A. yes they both have the same solutions.

B. below...

Step-by-step explanation: