Which of the fractions below is equivalent to
7/6 divided by 2/3?
4/7
7/4
7/9
9/7

In case A:

The amount to be paid = $41.75

In case B :

The amount to be paid = $41.76

So, the Case A is better option.

Finding the right answer using the round off to nearest hundredth.

How to change any value to it's nearest hundredth ?

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.

Steps to find nearest hundredth of any value:

Step 1:

Since we need to round the given decimal number to the nearest hundredth, we mark the digit at the hundredths place.

Step 2:

Then, we observe the 'thousandths' place digit, which lies to the right of the hundredths column.

Step 3:

If the digit at the thousandths place is less than 5, we write the hundredths place digit as it is and remove all the digits to its right.

Step 4:

If the digit at the thousandths place is 5 or more than 5, we add 1 to the digit at the hundredths place, that is, we increase the hundredths place by 1 and remove all the digits to its right.

Case A :

The price for each gallon = $3.479

So, the total price for 12 gallon = $41.748

In case A total amount is rounded off

So, the price = $41.75

Case B :

The price for each gallon = $3.479

Rounding off the price for each gallon = $3.48

So, the total amount for 12 gallon = $41.76.

So, the case A is better option.

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The proportion we get is 0.291 and that matches up with our first choice that we see.

A proportion simply means the amount or quantity of a thing present in another thing taken as whole.

The main purpose of stating stuff in proportions is to compare shares. If 2 people receive shares in a 1:1 proportion, it means they have exactly equal shares. If 2 people invest in something and one partner invests $3 for every $2 the other invested, the major partner would expect the profits to be divided 3:2 in their favor.

This issue informs us that a town's residents were polled by an elected official to see how satisfied they were with the town's services. Both homeowners and renters were included in the survey. The following charts show the percentage of respondents that are unsatisfied with city services. In order to calculate the percentage of surveys with low satisfaction, we only need to consider the third column to the right, which is labeled "low satisfaction," and the number we are interested in is the 1, which corresponds to the row labeled "total," because it represents the total number of survey respondents who have low satisfaction, whether or not they are home owners or renters. This number is 23 points.

But that only represents the whole population of those with low levels of satisfaction. We can find the total number of respondents in the cross section between the total column and the total row, giving us 110 points. We wish to multiply that total for the low level by the entire number of respondents. Therefore, if we want that proportion right away, we need divide 23 by 110 points. When we round off to four decimal places, the result is 0.291, which corresponds to our initial option that we see.

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Answer:

A - 0.2091

Step-by-step explanation:

I took it

The true statements about the circle are

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

x² + y² - 2x - 8 = 0

Generally, To convert this equation to standard form, we need to complete the square.

First, we can rearrange the terms on the left-hand side of the equation so that all the x terms are together and all the y terms are together:

x² - 2x + y² - 8 = 0

Then, we need to add and subtract a value that allows us to rewrite x² - 2x term as a perfect square.

To do this, we take half of the coefficient of the x term (which is -2), square it, and add it to both sides of the equation:

So, we have

x² - 2x + (1²) + y² - 8 = 0 + (1²)

Evaluate

(x - 1)² + y² - 8 = 1

Finally, we can rearrange the terms

So, we have

(x - 1)² + y² = 9

Express 9 as the square of 3

(x - 1)² + y² = 3²

So, the standard form of the equation is (x - 1)² + y² = 3²

The standard equation of a circle is represented as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

When these equations are compared, we have

Center = (a, b) = (-1, 0)

Radius = r = 3

The point (-1, 0) lies on the x-axis

This means that the center is on the x-axis.

Also, it means that the radius of the circle is 3 units

This radius is the same for a circle that has the form x² + y² = 9

This is so because 9 can be expresses as the square or 3, and r = 3

Hence, the correct statements are (a), (b) and (e)

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Complete Question

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true?

Select three options.

The solution of the system of equation is as follows;

when x = -2 , y = -4

when x = 4, y = 8

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let solve the system of equation by substitution method.

Therefore,

y = 2x

y = x² - 8

Using substitution,

2x = x² - 8

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2) - 4(x + 2) = 0

(x - 4)(x + 2) = 0

x = -2 or 4

Hence,

when x = -2

y = 2(-2) = -4

when x = 4

y = 2(4) = 8

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Answer:

13 jobs

Step-by-step explanation:

if 40 dollars are made for 5 jobs you have to find what was made for one job which is 8 dollars

then you have to divide 100 by the 8 to find how many 8 dollar jobs it will take to make the 100 dollars.

you get 12.5 whuch beace you cant do half a job, you round it up to 13 jobs.

Answer:

• Statement of the given problem,

⚫ A man spends 70% of his income and saves Rs. 2550. What is his income?

According to above data,

⚫ the required income of the

given man

= 2550/(1 - 70/10)

☐ = 2550/0.30

= 8,500 (Rs) [Ans]

Answer:

Step-by-step explanation:7.48521878104

A characteristic of quality data which pertains to the expectation for the time between when data are expected and when they are available for use is timeliness of information.

Information's timeliness is a crucial aspect of data quality since incomplete or outdated information can influence people's actions. That consequently costs businesses time, money, and reputational harm.

The term "completeness" describes how thorough the information is. Consider if all the information you require is there when evaluating data completeness; for example, you might just require a customer's first and last name, but their middle initial might be optional.

Reliability in the context of data quality traits refers to the absence of contradiction between one piece of information and another piece of information from a different source or system.

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Answer:

The 2 numbers are 27 and 30

Step-by-step explanation:

Let call them x and y where x is the larger number and y is the smaller number :

x + y = 57 (obtained from the first line of the question)

x - y = 3 (obtained from the second line of the question)

Now we are going to use the rules of simultaneous equations to find x and y :

I will use elimination method :

Add the 2 equations to eliminate the y :

2x = 60

x = 30

Substitute x into equation 1 :

(30) + y  = 57

Subtract 30 from both sides :

y = 57 - 30

y = 27

So

x = 30 and y = 27

As you can see the difference is also 3

The 2 numbers are 27 and 30

Hope this helped and have a good day

The earnings-to-stock-price ratio in simplest terms is 20.

Here given,

Stock price = $55.00

Earnings per share = $2.75

We have to find ratio od earnings,

The formula is,

Ratio is : P/E

By substituting the values,

Ratio = $55.00 / $2.75

         = 20

this is the explanation above with some examples

The percent error in predicted temperature by weather forecast is -0.48%.

To find the percent error in the predicted temperature, we need to use the formula:

[tex]percent\,error=\frac{observed \,value-expected \,value}{expected \,value *100}[/tex]

Plugging in the given values, we get:

                      [tex]percent error=\frac{103.5-104}{104*100}\\\\\\=\frac{-0.5}{104*100} \\\\=-0.48[/tex]

So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.

Rounded to two decimal places, the percent error is -0.48%.

Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.

For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:

percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%

This would mean that the measured value is 5% lower than the true value.

Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.

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The percent error in predicted temperature by weather forecast is -0.48%.

To find the percent error in the predicted temperature, we need to use the formula:

percent error=observed value-expected value/expected value*100

Now, we get

percent error=103.5-104/104*100

=-0.48

So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.

Rounded to two decimal places, the percent error is -0.48%.

What is percent error?

Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.

For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:

percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%

This would mean that the measured value is 5% lower than the true value.

Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.

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Answer:

c = 14

Step-by-step explanation:

Presence: a statistical issue, refers to the finding that a systematic relationship exists between the two variables of interest in the population.

The above statement is False.

Presence refers to the finding that there is a systematic relationship between two variables in the population of interest.

Direction means knowing if the relationship is positive or negative.

Strength means knowing how long the relationship will last.

Systematic relationship is also known as Covariance. Covariance is a statistical term that refers to the systematic relationship between two random variables such that changes in the other reflect changes in one.

The relationship between probability and statistics usually falls into one of three categories: deterministic, random, or statistical. Statistical relationships are a hybrid of deterministic and random relationships.

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P(X=12) is the needed probability. P ( X = 12 ) . There is a 0.0042 percent chance that all 12 of them will use their smartphones during courses or meetings.

The possibility or likelihood of an event occurring is expressed numerically as probability. Probabilities are expressed as ratios (0 to 1) and percentages (0 to 100). It is founded on the likelihood that something will occur. The theoretical probability is built on the fundamental principle of probability justification. For instance, there is a 12 percent chance of receiving heads while flipping a coin.

P(X=12) is the needed probability. P ( X = 12 ) . There is a 0.0042 percent chance that all 12 of them will use their smartphones during courses or meetings.

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The required equation for the width of the rectangular playpen is w² + 4w -32 = 0.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
let the length be l and width be w,
According to the question,
l = w + 4
Now,
Area of the pen = length × width
Area of the pen = (w + 4) × w
32 = w² + 4w
w² + 4w -32 = 0

Thus, w² + 4w -32 = 0 is the required equation that represents the rectangular playpen.

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The distribution for town A is symmetric, but the distribution for town B is positively skewed.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result. Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet.

Given

By comparing the shapes of the box plots,

D. The distribution for town A is symmetric, but the distribution for town B is positively skewed.

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Using the function f(x) = 7+ 4x, -13 is the value of f(-5).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We might create a function with a set of persons as the domain X and a set of numbers as the codomain. For instance, if the codomain Y is the collection of whole integers, then define the function c so that its output, c(x), equals the number of offspring of every given x.

Four main categories may be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Given that,

f(x) = 7 + 4x

now, putting the value of f(-5), we get -

f(-5) = 7 + 4(-5)

or, f(-5) = -13

Using the function f(x) = 7+ 4x, -13 is the value of f(-5).

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The area of the figure in the first, second, and third cases will be 76 square ft, 120 square cm, and 87.5 square in, respectively.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The area of the trapezoid will be calculated as,

A = 1/2(sum of parallel sides) x height

8. The area of the figure is calculated as,

A = 1/2 (6 + 6 + 7) x 8

A = 76 square ft

9. The area of the figure is calculated as,

A = 1/2 (8 + 4) x 4 + 8 x 12

A = 24 + 96

A = 120 square cm

10. The area of the figure is calculated as,

A = 1/2 (5 + 10) x 5 + 5 x 10

A = 37.5 + 50

A = 87.5 square in

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There are 50 two-point questions and 10 five-point questions on the test.

What is a linear equation in two variables?

A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. The graph of a linear equation in two variables is a straight line, and the equation represents a linear relationship between the variables.

To solve this problem, you can use the fact that the total number of points on the test is 150 and that some of the questions are worth two points and some are worth five points.

Let x represent the number of two-point questions on the test, and let y represent the number of five-point questions on the test.

We can set up the following system of equations to represent the given information:

2x + 5y = 150

x + y = 60

To solve this system, you can use the substitution method. First, solve the second equation for y:

y = 60 - x

Substitute this expression for y into the first equation:

2x + 5(60 - x) = 150

This simplifies to:

2x + 300 - 5x = 150

Combine like terms:

-3x = -150

Divide both sides by -3:

x = 50

Substitute this value for x into the second equation to find the value of y:

y = 60 - 50 = 10

Hence, there are 50 two-point questions and 10 five-point questions on the test.

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Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

If 87. 5 percent of a sample of pure 131 I decays in 24 days, then the half-life of 131 i is 8 days.

In this question we have been given 87.5 percent of a sample of pure 131i decays in 24 days

We need to find the the half-life of 131i

We know that the rate constant expression is given as :

k = (2.303/t)*(log (a / a-x))

where, t = 24 days

a = 100

a -x = 100 - 87.5

      = 12.5 g

From the rate constant expression,

k = (2.303 / 24) * (log(100/12.5))

k = 0.0866

Now, the half life is given as :

k = 0.693 / t(1/2)

t1/2 = 0.693 / 0.0866

t1/2 = 8 days.

Therefore, the half-life of 131 i is 8 days.

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The scientific notation of the given number will be equal to 6.48 × 10⁻⁷. Hence, option C is correct.

A way to express numbers that are either too large or too little to be conveniently stated in decimal form is through scientific notation. It is also known as "scientific form" in Britain because researchers, mathematicians, and engineers frequently use it for intricate calculations involving large numbers.

As per the given information in the question,

The given number is,

0.000000648

As we move towards the right of the given point then the power will be in negative form.

So, it can also be written as,

6.48 × 10⁻⁷

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the answer is C:

6.48 × 10−7

Answer: 157.14

Step-by-step explanation: SDHU IK

The required greatest common factor in the given expression is 3x²y.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

here,
Given expression,
= 18x⁴y+3x³y²-39x²y³+12x²y⁴
Taking common 3x²y from every term,
= 3x²y(6x² + xy - 13y² + 4y³)
Where 3x²y id the greatest common factor,

Thus, In terms of the given expression 3x²y is the greatest common factor.

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The retail price of the car is  $ 9802.9.

A car dealership pays $8350 for a car.

They mark up the price by 17.4%

8350 * 17.4%  = 1452.9

retail price = 8350 + 1452.9 = $ 9802.9

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-3(7f + 3f + 9) - 4f

Distribute.

(−3)(7f) + (−3)(3f) + (−3)(9) + −4f

−21f + −9f + −27 + −4f

Combine like terms.

−21f + −9f + −27 + −4f

(−21f + −9f + −4f) + (−27)

−34f + −27

-34f + -27