A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error

Answers

Answer 1

The error is that the student rounded off the outcome after combining the numbers.

What is rounding off?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.


Therefore, the error is that the student rounded the outcome after combining the numbers.

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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?


Related Questions

-2y - 10 = x -10x
- y = −14​

Answers

Answer:

Step-by-step explanation:

-2y-10=x-10x

-2(-14) - 10= x - 10x

28 - 10 = x - 10x

18= x-10x

18= -9x

/-9    /-9

-2=x

Each side when you plug in (-2) for x and (-14) for y you get 18.

If, when you plug in the number, you get different numbers for each side, then that means there's a mistake and the answer is wrong.

Hope this helps!

       

How to get the awnser

Answers

The slope and the y-intercept of the linear function in this problem are given as follows:

Slope: -2.y-intercept: 6.

The equation of the linear function in this problem is given as follows:

y = -2x + 6.

What is a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

m is the slope, representing the rate of change of the linear function.b is the y-intercept, representing the value assumed by the linear function when x assumes a value of zero.

From the table, we have that when x = 0, y = 6, hence the intercept b is given as follows:

b = 6.

When x increases by one, y decays by two, hence the slope m of the linear function is given as follows:

m = -2.

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Q14
How can I prove (a)

Answers

AE is congruent to CE.We can prove by assuming two triangle in the given diagram and by using SAS rule.

How do you find congruent triangles?

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.

What is an alternate angle in a triangle?

Alternate angles are angles that occur on opposite sides of the transversal line. If two parallel lines are cut by a transversal then the alternate angles are equal.The pair of angles formed on the inner side of the parallel lines but on the opposite sides of the transversal are called alternate interior angles.

Now we have

Given a triangle ABC.Where E is the midpoint of AC. We have to prove that AE is congruent to CE.

In ΔAED and ΔCED

ED=ED              (∵Common side are equal)

∠AED=∠CED       (∵Alternate angles)

∠A=∠C        (∵Alternate angles)

By ASA rule, ΔAED≅ΔCED

By Corresponding Parts of Congruent triangles

AE=EC

Hence, AE is conruent to CE.

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What would be the explicit equation for the sequence 3, 9, 27, 81 

Answers

Answer:

times it by

Step-by-step explanation:

3×3=9, 9×3=27, 27×3=81, 81×3=243

sorry if this isn't the answer your looking for.

Answer: multiply by 3 each time
3*3=9
3*9=27
3*27=81

A report states that of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence

Answers

To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.

How big of a sample is required to confidently estimate the true percentage of homeowners having vegetable gardens to within 6 percentage points?This can be calculated using a sample size calculator and the given margin of error and desired confidence level.The size of the sample needed can be calculated using the formula n = (z2 * p * (1-p)) / e2, where n is the size of the sample, z is the z-score associated with the desired confidence level (1.96 for 95% confidence), p is the estimated proportion of home owners having a vegetable garden, and e is the margin of error (6 percentage points).Assuming a conservative estimate of p = 0.50, the sample size needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence is:n = (1.962 * 0.50 * 0.50) / (0.06)2 = 384.9 ≈ 385Therefore, a sample size of 385 home owners is needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence.The equation is: n = (z_alpha/2)^2 * (p*(1-p)) / e^2 Where n is the sample size, z_alpha/2 is the z-score for the desired confidence level (e.g., z = 1.96 for a 95% confidence level), p is the estimated population proportion, and e is the margin of error. For this example, we can assume a 95% confidence level (z = 1.96), a population size of N = 100,000, and a margin of error of 6 percentage points (e = 0.06). Plugging these values into the sample size equation, the required sample size is n = (1.96/2)^2 * (0.5*(1-0.5)) / 0.06^2 This gives us a sample size of n = 384.

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A ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km. Find the distance traveled from the starting point to the ending point

Answers

The distance traveled from the starting point to the ending point is 30.35 km.

What is a bearing?

A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.

The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.

The x-coordinate of the final point is -

50 cos (27°) + 140 cos (117°) = -19

The y-coordinate of the final point is -

50 sin (27°) + 140 sin (117°) = 23.67

The distance from (0,0) to the final point is as follows -

d = √(-19)^2+(23.6)^2)

= √(921.27)

= 30.35 km

Therefore, the distance traveled is 30.35 km.

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Please help
VX is a midsegment of UWY
IF UY=13p-1 and VX=20p-95 what is UY

Answers

The length UY of the triangle is 90 units

How to determine the length UY

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

VX is a midsegment of triangle UWYUY = 13p - 1 and VX = 20p - 95

This means that

UY = 2 * VX

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

13p - 1 = 2 * (20p - 95)

Evaluate the products

13p - 1 = 40p - 190

So, we have

40p - 13p = 190 - 1

So, we have

27p = 189

Divide by 27

p = 7

Substitute p = 7 in UY = 13p - 1

UY = 13 * 7 - 1

So, we have

UY = 90

Hence, the length is 90 units

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I need the answer to this question please!

Answers

5 * root(x ^ 2, 3) is the equivalent expression.

Why do roots grow in numbers?

Simply multiplying the radicands and placing the result behind the radical sign is all that is required to multiply two square roots. The square root of the product of the radicands, in other words, is equal to the product of two square roots.

Only if the numbers under the radical sign are equal can you add or subtract square roots themselves. The original number will still be in the radical sign after adding or subtracting the coefficients (numbers in front of the radical sign). Implement the suggested action.

5 * root(x ^ 2, 3) is the equivalent expression.

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What should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20?

Answers

4x2 - 3y2 - xy should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Assume X is the component that is absent.

As a result, the answer to the question is

(3x2 - 4y2 + 5xy + 20) - (X) = - x2 - y2 + 6xy + 20

To determine the value of X, let's change the words.

X is equal to (-x2 - y2 + 6xy + 20) = 3x2 - 4y2 + 5xy + 20.

X = 4x2 - 3y2 - xy X = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20

Thus, the expression that should be subtracted is 4x2 - 3y2 - xy.

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A standard six-sided die is rolled, and P is the product of the five numbers that are visible. What is the largest number that is certain to divide P?
A. 6 B. 12 C. 24 D.14 E.720

Answers

The largest number which certain to divide P is 12. The correct option is B.

The product of all six numbers of the six-sided die is 6! = 720.

The products of numbers which can be visible are:

720 / 1, 720 / 2, …, 720 / 6.

In this case, the answer is the largest common divisor, that is:

720 / L

where L = the least common multiple of {1,2,3,4,5,6}.

So, it is clear that L = 60.

Thus, the answer is:

= 720 / L

= 720 / 6

= 12

Hence, the largest number which certain to divide P is 12, it is option B.

What is the largest number in the world?

A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.

The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.

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The cost of a certain cell phone plan can be modeled by C(m) = 2m + 15, where C(m) is the total cost for m minutes of cell phone usage. State the meaning of the slope with respect to the cost associated with the cell phone plan.

Answers

The interpretation of the slope is that the cost per minute is $2

How to determine the interpretation of the slope?

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

C(m) = 2m + 15

Where

m = number of minutes

C(m) = cost function

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 2

This means that the slope is 2

And it means that the cost per minute is $2

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What is the value of v?

Answers

Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

At an arts festival, Jamal, a camp counselor, bought food tickets for his hungry campers. The campers can use them to get hot dogs, which cost 4 tickets apiece, and burgers, which cost 5 tickets apiece. In total, the campers can use up to 21 tickets, which is how many Jamal bought. Write an Inequality that best describe this situation​

Answers

Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

What isan Inequality?

Jamal, a camp counsellor, purchased meal tickets at an arts festival for his ravenous kids. The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

A camp counsellor purchased meal tickets at an arts festival for her ravenous kids.

The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

Let x be the number of hot dogs and y be the number of burgers. In all, campers are allowed to utilise up to 21 tickets.

Thus, inequality in its most basic form explains this circumstance.

= 5x + 4y ≤ 21

Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

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Liz is watching a film at the cinema. The film started at 14 30. The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. Does Liz get to the bus stop in time to get this bus? You must show all your working

Answers

The answer is yes, she does and she still has 10 minutes free.

What is time ?

Time can be defined as the sequence on which particular event exists and time can measured in minutes , seconds, and hours.

Given,

The film started at 14 30. The film is 105 minutes long.

When the film ends, Liz takes 20 minutes to get to the bus stop.

105min=1h 45min

14h 30min + 1h 45min= 16h 15min

16h 15min + 0h 20min=16h 35min

16h 45min - 16h 35min= 10min

Hence, the answer is yes, she does and she still has 10 minutes free.

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Tracy took a test and had 24 questions. She got 5/6 of the questions correct. How many questions did she answer correctly? Write an equation to model your work

Answers

Tracy got 20 questions correct in her test.

Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.

Hence he got 24 x 5/6 = 20 questions correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.

So ,an equation to model this would be:

x = 24 x 5/6

where x is the number of questions tracy answered correctly.

Hence Tracy answered 20 questions correctly.

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PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%​

Answers

The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.

Therefore the answer is d) $1,662.50.

Here is the breakdown of the calculation:

Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000

The first $3,500 are taxed at 3%, which is

= 0.03×3500

= $105

The next $3,500 are taxed at 4.5%, which is

= 0.045×3500

= $157.50

The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is

= 0.07×20000

= $1,400

Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.

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a salesman goes to Murano and buys three dozen vases paying €16.25 each. During transport if they break me 9. How much did each remaining vase sell for if he earned €360

Answers

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

what is unitary method ?

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

A salesperson purchases three dozen vases (12 * 3 = 36),

at a cost of 36 * €16.25 (or $585),

with seventeen remaining.

The cost of selling each remaining vase is € 585 / 17

= € 34.41.

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

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help ! what's the value of x -

[tex] {x}^{4} + 4 = 100 \div 5[/tex]

Answers

Answer:

2

Step-by-step explanation:

100/5 = 20

x⁴ + 4 = 20

x⁴ = 20 - 4

x⁴ = 16

= 2 × 2 × 2 × 2

x⁴ = 2⁴

x = 2

Hence, the value of x is 2.

a stationer sells 17 magazines for €2.70 each, 28 newspapers for €1.50 each and postcards for €0.30 each. If he collected €97.20 how many postcards did he sell?

It needs to be an expression

Answers

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

what is expression ?

Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.

given

A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,

for a total of €42; and

x postcards, for a total of €0.30x,

for a total of €97.20.

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

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Chapter 3 Lesson 4 Arithmetic Sequence

Answers

1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

What is Arithmatic Sequence?

The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulae for arithmetic sequences.

The equation to determine the nth term in an arithmetic series

The formula for calculating the sum of an arithmetic sequence's first n terms

There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term."

Option 1, 4 and 6 are in Arithmatic Sequence as

In 1:

1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

again in 4 :

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

and in 6

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
Please answer both parts

8(x + 7)

Answer here _____________

Use Distribute Property to rewrite the algebraic expression.

6(11 + x)

Answer here ____________

Answers

The value of 8(x + 7) is 8x + 56.

The value of 6(11 + x) is 66 + 6x.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of  multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

8 x (x + 7)

= 8 x (x) + 8 x 7

= 8x + 56

6 (11 + x)

= 6 x 11 + 6 x (x)

= 66 + 6x

Thus,

The value is 8x + 56 and 66 + 6x.

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Using Euler's Method with a step size of h = 0. 2, estimate the value for y(1. 4) for the differential equation y plus 2 times dy dx equals the product of the natural logarithm of y and the sine of x, with y(1) = 2

Answers

Refer to the image attached.

Describe how the graph might be misleading. Then explain how someone might misinterpret the graph…

Answer For Both Graphs And 25 Points!!!

Answers

Answer: 1. The first graph has the x and y axis values as minutes and frequency, but the title is bicycling.

2. it's a dotted graph, which doesn't give enough information since that graph does not have to be linear, but when you have a graph like that you want a line graph.

Answer:

the other dude answered it better than i did

Step-by-step explanation:

please help me find the surface area of this triangular prism

Answers

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

How do you find the area of a prism?The surface area of a triangular prism is defined as the sum of the area of its five faces. To calculate the surface area, we need the values of the base, length, and height of the triangular prism. Its formula equals the sum of two times the base area and three times the product of the base and length of the prism.Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A = 1 2 b h is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for area of the base of the prism, p stands for the perimeter of the base, and h stands for the height of the prism.

Two triangles' area: 18×24÷6x3 = 432cm^2

The widest rectangle's area: 30×7 = 210cm^2

The rectangle facing the left's area: 18×7= 126cm^2

The rectangle facing the ground's area: 24×7= 168cm^2

Total Surface Area: 432+210+126+168 = 936cm^2

=936cm^2

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Which is the definition of a ray?

a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints

Answers

Definition of Ray:

'A part of a line that has one endpoint and extends indefinitely in one direction'.

The correct statement is A.

What is a ray?

A ray is a part of the line having one fixed point and the other point does not have an end. It means that a ray has one terminating end and the other end is extending infinitely.

Given definitions of ray:

A. a part of a line that has one endpoint and extends indefinitely in one direction.

B. the set of all points in a plane that are a given distance away from a given point.

C. lines that lie in the same plane and do not intersect.

D. a part of a line that has two endpoints.

Only statement A satisfies the definition of ray.

Hence, the definition of ray is described by statement A.

A part of a line that has one endpoint and extends indefinitely in one direction.

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A rental car company charges $50 per day to rent a car and $0.15 for every mile driven. Mei Mei wants to rent a car, knowing that:

She plans to drive 100 miles.

She has at most $130 to spend.


Write and solve an inequality which can be used to determine xx, the number of days Mei Mei can afford to rent while staying within her budget.

Answers

Answer:

50x + 19.5 ≤ 130

Step-by-step explanation:

X is the number of days Mei Mei plans to rent the car

For driving 100 miles, Mei Mei will be charged $19.50. [130 times 0.15]

Mei Mei has a maximum budget of $130, so the inequality will have a less than or equal to sign

50x + 19.5 ≤ 130

What baseball stat does Lawrence Hinman suggest is the most important stat for determining the best player in the game in a given year

Answers

A range of fundamental, unchanging values may exist in the world, according to ethical pluralism.

What is meant by Ethical Pluralism?

According to ethical pluralism, the world may contain a variety of essential and unchangeable values. There may be more, but happiness and respect for people are two possible ones.

The notion of ethical plurality holds that there are various beliefs about what is "good" and "wrong" (moral norms), some of which may be incompatible and/or out of line with your own personal moral standards. Working in foreign societies, where you could encounter varying norms, is a component of international involvement.

The conviction that there are various viewpoints on a subject, each of which has some truth, but none of which contains the complete truth the conviction that while each moral theory somewhat captures the essence of what it means to live morally, none has the whole picture.

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Lawrence Hinman does not have a clear statement on the best baseball stat for determining the best player in a given year.

What do you mean by statistics?

Statistics are a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. In baseball, statistics are used to measure the performance of individual players, teams, and even entire leagues. Some common baseball statistics include batting average, home runs, runs batted in, earned run average, and wins. These statistics are used to evaluate the performance of players, compare them to other players, and even predict future performance.

What are some common baseball statistics?

Baseball statistics are a set of metrics used to measure the performance of individual players and teams in baseball. Some common baseball statistics include:

Batting average (BA)Home runs (HR)Runs Batted In (RBI)Wins (W)

It is likely that different analysts and experts would have different opinions on which stat is the most important for determining the best player in a given year. Some might argue that traditional stats like batting average, home runs, and RBIs are the most important, while others might argue that newer stats like on-base percentage, slugging percentage, and WAR are more informative.

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Are 5x and 5 like terms?

Answers

The statement given here is true as 5x and 5 are like terms.

This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.

Like terms differs from the unlike terms only in case of numerical component.  By summing the coefficients of  like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms  that have the same variables and these variables have the same powers, but with different coefficients.

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Help please with this maths

Answers

The radius of the sphere is 9 centimeters.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

So,

surface area of the sphere = 4πr²

324π cm² = 4πr²

Simplifying,

r² = 324π/4π

r² = 324/4

r² = 81

r = 9

Therefore, the radius is 9 centimeters.

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3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto

Answers

The given set of ordered pairs does not satisfy a linear function.

What is a linear function?

A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.

Given:

The given set of ordered pairs is:

{(3, 2), (4, 3), (5, 4), (6, 5)}

To find:

Whether the given set of ordered pairs satisfies a linear function or not.

Explanation:

The slope of a linear function is:

m = (y₂ - y₁)/ (x₂ -x₁)

The slope of the linear function passes through the points  and  is:

m₁ = (3-1)/(3-1)

m₁ = 2/2

m₁ = 1

The slope of the linear function passes through the points  and  is:

m₂ = (9-3)/(5-3)

m₂ = 6/2

m₂ = 3

Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.

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