In a study of author productivity, a large number of authors were classified according to the number of articles they had published during a certain period. The results were presented in the accompanying frequency distribution:Number ofpapers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17Frequency 708 204 127 50 33 28 19 19 6 7 6 7 4 4 5 3 3a. Construct a histogram corresponding to this frequency distribution. B. What proportion of these authors published at least five papers? At least ten papers? More than ten papers?c. Suppose the five 15s, three 16s, and three 17s had been lumped into a single category displayed as "≤15," Would you be able to draw a histogram? Explain. D. Suppose that instead of the values 15, 16, and 17 being listed separately, they had been combined into a 15–17 category with frequency 11. Would you be able to draw a histogram? Explain

The line's equation is y = 25x + 50.A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

a). I began with a $50 savings because the line's starting point is (0, 50).

b). Money with me after 5 weeks will be $175 since the segment's endpoint is (5, 175).

c).  Let y - y' = m(x - x') be the equation for the line shown in the graph.

where a point on the graph is (x', y').

And "m" represents the line's slope.

   Slope of the line =

                            m =

                            m = 25

    Since, the line passes through (0, 50),

    y - 50 = 25(x - 0)

    y = 25x + 50

    y = 25x + 50

    For x = 6,

    y = 25×6 + 50 = 200

    For x = 7,

    y = 25×7 + 50 = 225

    For x = 8,

    y = 25×8 + 50 =250

d). For x = 10 weeks,

   y = 25×10 + 50 = $300

e). For x = 15 weeks

    y = 25×15 + 50 = $425

f). For x = 50 weeks,

    y = 25×50 + 50 = $1300

g). Equation of the line is,

    y = 25x + 50

The complete question is:

The graph below shows how much money you have in savings each week. Use

this graph to answer questions (a – g).

a. According to the graph how much money did you start with in your savings?

b. How much money will you have after 5 weeks of saving?

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The statement "biblical account of creation is a metaphor' is a contentious one, as it challenges a traditional and fundamental belief within Christianity.

One argument on how biblical account of creation is a metaphor is because it is written in a symbolic and metaphorical language. Many scholars and theologians argue that the creation story in the Bible should not be taken literally, but rather as a symbolic representation of God's power and authority.

Another argument is that the scientific evidence for the origins of the universe and the evolution of life on Earth is incompatible with the literal interpretation of the biblical account of creation. Therefore, the statement that the "biblical account of creation is a metaphor" can be seen as a way of reconciling scientific understanding with religious belief.

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Answer:

n>10

Step-by-step explanation:

2n>20

n>20/2

n>10

The number is 14. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.

20 = 4 × (number + 6)

20 = 4 × number + 24

20 - 24 = 4 × number

-4 = 4 × number

number = -4 ÷ 4

number = -1

The equation provided is 20 = 4 × (number + 6). Rearranging this equation gives 20 = 4 × number + 24. Subtracting 24 from both sides gives 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number. Dividing both sides by 4 once again gives number = -4 ÷ 4. Therefore, the number is 14.

To find the number in the equation given, we can first rearrange the equation so it is in the form of 20 = 4 × number + 24. Then, subtracting 24 from both sides gives us 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.

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The correct answer is d. (start fraction 10 over 12 end fraction) cubed

Explanation:

Probability is a measure of the likelihood of an event happening. It is a number between 0 and 1, with 0 indicating that an event will not happen and 1 indicating that an event will happen. A probability of 0.5, for example, indicates that an event has a 50% chance of happening.

Probability is usually expressed as a fraction, decimal or percentage.

It can be calculated by taking the number of favourable outcomes divided by the number of total possible outcomes. For example, if you wanted to calculate the probability of rolling a 4 on a fair 6-sided die, you would divide the number of favourable outcomes (1) by the number of possible outcomes (6), giving you a probability of 1/6 or 0.1667.

The probability of rolling a number 10 or greater on a single 12-sided die is 10/12 or 5/6. Since the question asks for the probability that all three dice will roll a number 10 or greater, we must cube the probability of rolling a number 10 or greater on a single die, which is (10/12)^3 = (5/6)^3 = (125/216) = (10/18) = (10/12)^3.

Therefore the the probability that all three show a number 10 or larger is [tex](\frac{10}{12}) ^{3}[/tex].

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A fair dice has its faces numbered from 1 to 6. Let random variable f represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3. 5 and standard deviation 1. 7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded. The mean of the distribution of sample means is 3.5 and the standard deviation of the distribution of sample means is 0.0854.

The mean of the distribution of sample means

μ = 3.5

The standard deviation of the distribution of sample means can be calculate as follows:

σₓ = σ/√n

σₓ = 1.7078/√400

σₓ = 0.0854

Thus, the right answer is provided by the data of Mean 3.5 and Standard Deviation 0.0854.

Your question is incpmplete but most probably your full question was

fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3.5

and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 imes, and the mean of the 5 values landing face up is recorded.

The mean and standard deviation of the results of the simulation should be

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Answer:

Step-by-step explanation:

divided by nine ;)

On solving the provided question, we can say that the domain of the following data will be domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ] and  [  (( 9 , 11) to ( 11 , 17) ]

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these integers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully utilised to produce a single value of y by using the value of x.

the domain of the following data will be

domains = [  (( 2.28 , 2.06) to ( 1.18 , 0.70) ]

domains = [  (( 9 , 11) to ( 11 , 17) ]

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By adding the two given segments, we will get:

XZ  = XP + PZ

XZ = 9x

Here we have a segment called XZ, such that it has a midpoint P.

We know that:

XP = 5x - 1

PZ = 4x + 1

Notice that above we divided our segment into two smaller ones, but the first one ends at P and the second one starts at P, then we can write:

XZ  = XP + PZ

Then XZ is just the sum of the two expressions above:

XZ = 5x - 1 + 4x + 1

XZ = 9x + 1 - 1

XZ = 9x

Where x is a variable.

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Answer:

-5 and -2

Step-by-step explanation:

Answer:

an average weight of 10student was calculated to be 75. later it was discovered thatone weight wss insread as 35 instead of 50k.g. calculate the correct average weight

Answer: its 3.7 but you have to round.

Step-by-step explanation:

Answer:

6000000 mg

13.2277 lb

6000 g

13.2276 pounds

Step-by-step explanation:

Hopefully I am right but those are all I can find that are equal to 6 kilograms.

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{15}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2.5[/tex]

So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5

So, our required answer will be :

Enlargement with scale factor of 2.5

The percentage rate of increase in Joshua wages is 17%

Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.

To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.

This means percentage rate in increase = (new wage - original wage )/original wage × 100

= (14-12)/12 ×100

= 2/12 ×100

= 100/6 = 17% ( nearest percent)

Therefore the percentage increase in Joshua wage is 17%

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According to  quadrant geometry value of x is 7

What is quadrant in geometry?

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.

4(14) = 8(-7+2x)

56 = -56 + 16x

112 = 16x

x=7

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Question:

Solve for x . The polygons in each pair are similar

The simplest radical form of the expression (x^4y^7)^3/4 is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

What is a radical?

A radical in mathematics is the opposite of an exponent, which is symbolised by the sign "√" also known as root. The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root.

The given expression is -

(x^4y^7)^3/4

To solve apply the exponent rule → (a·b)^n =a^nb^n

(x^4y^7)^3/4 = [(x^4)^3/4 · (y^7)^3/4]

= x^3 · y^21/4

= x^3y^21/4

=x^2|x|y^5[tex]\sqrt[4]{y}[/tex]

Therefore, the simplest radical form is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].

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Answer: x ≤ 5

Step-by-step explanation:

x - 9  -->   x + (-9)

-9 + 5 = -4

Therefore , the solution of pythgoras theorem is the value of is dx/dt = 0.95, when x = 12 and y =5.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Here,

It is given that -

dz/dt = 1,

dx/dt = 3(dy/dt)

⇒dy/dt = 1/3 (dx/dt)

As shown in the diagram x = base, y = perpendicular and z = hypotenuse.

According to the Pythagoras theorem -

z² = x² + y²

Differentiating both sides -

d/dt (z²) = d/dt (x² + y²)

2z dz/dt = 2x dx/dt + 2y dy/dt

z dz/dt = x dx/dt + y dy/dt

Substituting the value of  dy/dt -

z dz/dt = x dx/dt + y/3 (dx/dt)

z dz/dt = dx/dt (x + y/3)

dx/dt = (z dz/dt)/(x + y/3)....equation 1

So, when x = 12 and y = 5, the value of z -

z = √[(12)² + (5)²]

z = √(144+25)

z = √169

z = 13

Substituting the value of x, y, z and dz/dt in equation 1 -

dx/dt = (13 × 1)/(12 + 5/3)

dx/dt = 13 / 41/3

dx/dt = (13 × 3)/41

dx/dt = 39/41

dx/dt = 0.95

Therefore, the value of dx/dt = 0.95.

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Therefore , the solution of pythgoras theorem is the value of is dx/dt = 0.95, when x = 12 and y =5.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Here,

It is given that -

dz/dt = 1,

dx/dt = 3(dy/dt)

⇒dy/dt = 1/3 (dx/dt)

As shown in the diagram x = base, y = perpendicular and z = hypotenuse.

According to the Pythagoras theorem -

z² = x² + y²

Differentiating both sides -

d/dt (z²) = d/dt (x² + y²)

2z dz/dt = 2x dx/dt + 2y dy/dt

z dz/dt = x dx/dt + y dy/dt

Substituting the value of  dy/dt -

z dz/dt = x dx/dt + y/3 (dx/dt)

z dz/dt = dx/dt (x + y/3)

dx/dt = (z dz/dt)/(x + y/3)....equation 1

So, when x = 12 and y = 5, the value of z -

z = √[(12)² + (5)²]

z = √(144+25)

z = √169

z = 13

Substituting the value of x, y, z and dz/dt in equation 1 -

dx/dt = (13 × 1)/(12 + 5/3)

dx/dt = 13 / 41/3

dx/dt = (13 × 3)/41

dx/dt = 39/41

dx/dt = 0.95

Therefore, the value of dx/dt = 0.95.

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According to the following interpretation, a correlation value of 0.7 between two variables denotes a significant and favorable association between them.

Correlation coefficients demonstrate how strongly two independent variables, x and y, are connected linearly.

A linear correlation coefficient greater than zero indicates a relationship that is favorable.

A value less than zero denotes a bad relationship. To summarize, when x and y have values of 0, there is no link between them.

A statistic that describes how closely two variables' movements are related to one another is the correlation coefficient (r2).

The most widely used correlation coefficient is the Pearson product-moment correlation, which is used to detect if two variables are linearly related.

This correlation value, however, might not always be an accurate predictor of reliance in a non-linear link.

Hence, According to the following interpretation, a correlation value of 0.7 between two variables denotes a significant and favorable association between them.

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The equation which is used to determine number of balloons were originally in bag is 3(b-8)=21 and the number of balloons in each bag on?

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Based on the given conditions, formulate:  3×(b-8)=21

Reduce the greatest common factor on both sides of the equation:

b-8 =7

Rearrange unknown terms to the left side of the equation: b = 7+8

Calculate the sum or difference: b=15

The equation which is used to determine number of balloons were originally in bag is 3(b-8)=21 and the number of balloons in each bag is 15.

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The domain of f(x) = x is all real numbers. This is because the input (x) is the same as the output (f(x)).

This means that any value that is inputted into the function will result in the same value as the output, regardless of the value. The domain of the function can be expressed mathematically as:

Domain of f(x) = x = {x ∈ R}

This means that the domain of f(x) is all real numbers, as any real number put into the function will result in that same real number being outputted. For example, if x = 5, then f(x) = 5. This illustrates that the domain of f(x) = x is all real numbers.

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answer: hello

Step-by-step explanation:

If you get the answer then tell me

The required new average is 646-kilowatt hours per year,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Last year, wind turbines along a hilly ridge had an average output of 340-kilowatt hours per year. The turbines were upgraded, and now their average annual output is 90% more.

So,
new average = 340 + 90% of 340
new average = 340 + 0.90 × 340
new average = 340 + 306 = 646 kilowatt hours per year,

Thus, the required new average is 646-kilowatt hours per year,

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Residual=actual y value−predicted y value,ri=yi−^yi. Residual = actual y value − predicted y value , r i = y i − y i ^ . Having a negative residual means that the predicted value is too high, similarly if you have a positive residual it means that the predicted value was too low..

What Exactly Is Residual Value?

The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value. In lease agreements, the residual value is one of the lessor's main methodologies for calculating the lessee's periodic lease payments.

A good residual value is what?

Check out the Car Lease Ratings section of our Lease Kit for a complete list of high-residual vehicle brands and models.

                A car is probably not a good lease deal if the lease-end residual value is less than 50% of the MSRP (for a 36-month lease). 55% to 65% of MSRP would be a nice residual.

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The perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.

The complete length of a semicircle's boundary is referred to as the circumference of a semicircle, which is another name for its perimeter. The diameter's length and one-half of the original circle's circumference are added to determine it. Linear units such as "inches," "feet," "metres," or "centimetres," etc. are used to indicate the circle's circumference.

Given that the radius of the semicircle is 3cm.

The formula for the perimeter of a semicircle is:

P = pi(r) + 2r

Substituting the value of r = 3 we have:

P = pi(3) + 2(3)

P = 6 + 3pi

Hence, the perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.

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The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer.

Jamal was trying to simplify the expression StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. He wrote his answer as 5 x quared y quared StartRoot 3 x EndRoot. However, this was incorrect because he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. The correct answer is StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x StartRoot 4 Baeline y Supercript 4 Baeline EndRoot.The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared.

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Solving the provided question, we can say that the quadratic equation  2x³+4x2 + 7x + 5 is divided by (x+1) =  -2+4-7+5 = 0

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation

2x³+4x2 + 7x + 5 is divided by (x+1)

which means X+1 is factor

so, x = -1

2x³+4x2 + 7x + 5  = -2+4-7+5 = 0

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A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

A statistical method called the sum of squares (SS) is used in regression analysis to determine how well the data can fit the model and how dispersed the data are. Since it is determined by adding up the squared differences, the sum of squares is how it is calculated.

A sum's square is equal to the product of its summands' squares and its double products' sums of summands in twos.

So, it is not always true that the square root of a sum is equal to the sum of the square roots.

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A number's square root multiplied by another number's square root does not always equal the total of these two numbers' square roots.

In regression analysis, the sum of squares (SS), a statistical technique, is used to assess how well the data fit the model and how distributed they are. The sum of squares is used to compute it as it is obtained by combining together the squared differences.

The product of a sum's square and its double products' sums of its summands in twos is known as the summands' square. Hence, the square root of such a sum is not necessarily equal to the total of the square roots.

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12 m length rope of 10 pieces and 17 m rope of 5 pieces.

The equation that has two variable terms and another equation is needed to solve both equations simultaneously is called equation with two variables.

Given, total length of rope = 205 m.

The rope is cut into 10+5 = 15 pieces, in where 10 pieces rope are the same size, and the remaining 5 pieces are different size.

assume, length of first 10 piece = X m

length of last 5 piece = Y m

As per the first condition, total length of three of the first 10 length exceeds that of two the second length by 2 m.

hence, 3X - 2Y = 2

again, we know the total length = 205 m

10X + 5Y = 205

from the first equation, 3X = 2 +2Y

                                X = (2+2Y) / 3

putting the X value to the 2nd equation and we get

10(2+2Y)/3 + 5Y = 205

20+ 20Y+15Y = 615

35Y = 595

Y = 17 m

X = (2+2×17) /3 = 12 m

10 pieces of X length = 10 pieces of 12 m length

5 pieces of Y length = 5 pieces of 17 m length

10×12 = 120m

5×17 = 85m

120m + 85m = 205m

hence, verified.

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