I'll give brainliest if you show your work. Plz answer quickly. 0.89 is a square root except the only one that is being divided by 2.
Four students provide the following approximations for the square root of 0.89.
Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of 0.44<0.89/2<0.45.
Matthew states that the square root of 0.89 is between 0 and 1 because of 0< 0.89<1.
Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0^2
Ming states that the square root of 0.89 is between 0.93 and 0.95 because of (0.93)^2<0.89<(0.95)^2
Which solution(s) are correct?
Anyah's only
Ming's only
Anyah’s, Matthew’s, and Rhoda’s
Matthew’s, Rhoda’s, and Ming’s

Answers

Answer 1
Hello! I'll take a shot at this:

Basically, these four students are disputing the square root of .89

You are to find our which are correct, and which are not. 

First thing you should do is find out for yourself what the square root really is. You can do this by hand or by calculator for this it's really simple either way. 

But if you choose to do it by a calculator, just enter it into a TI-84 or any other calculator that deals with square root calculations. 

The square root of .89 is: 0.9433981132

Now that we know this, let's examine the student's and their answers.

Anayah thinks it's between .44 and .45
Matthew believes it is anywhere between 0 and 1
Rhoda believes it is between .9 and 1.0
Ming believes it is between .93 and .95

Well, we already know that roughly, it's .94 

.94 falls on the number line after 0, and JUST before 1
This means Matthew is correct. 

It is also between .9 and 1.0, as it's .94
This means Rhoda is also correct

Even more specifically, it's between .93 and .95
This means Ming is ALSO correct.

Sorry Anayah, you're wrong girl!!

Your answer is D: Matthew's, Rhoda's, and Ming's.

Answer 2

The correct option is D. Matthew’s, Rhoda’s, and Ming’s.

Given,

Four students provide the following approximations for the square root of 0.89.

On calculating,

[tex]\sqrt{0.89} =0.943398113[/tex]

Now considering the 4 students approximations,

1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of [tex]0.44<0.89/2<0.45.[/tex] This statement of  anyah is false because the [tex]\sqrt{0.89} =0.943398113[/tex], hence it not lies in between [tex]0.44[/tex] and [tex]0.45.[/tex]

2. Matthew states that the square root of [tex]0.89[/tex] is between 0 and 1 because of 0< 0.89<1. clearly the value of [tex]\sqrt{0.89} =0.943398113[/tex] lies in between [tex]0[/tex] and [tex]1.[/tex]So this statement is true.

3. Rhoda states that the square root of [tex]0.89[/tex] is between [tex]0.9[/tex] and [tex]1.0[/tex] because of [tex]0.9^2 <0.89<1.0^2[/tex] . this statement is true because the square of [tex]0.9[/tex] is [tex]0.81[/tex] and the square of [tex]1[/tex] is [tex]1[/tex] , and [tex]0.89\\[/tex] lies in between them. So the statement is  true.

4. Ming states that the square root of [tex]0.89[/tex] is between [tex]0.93[/tex] and [tex]0.95[/tex] because of [tex](0.93)^2<0.89<(0.95)^2[/tex]. this statement is also true.

Here only Anyah's statement is false.

Hence the correct option is D. Matthew’s, Rhoda’s, and Ming’s.

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Related Questions

What is the most specific name for the quadrilateral on number #28?

Answers

the most specific is a square bc all the angles are right angles and the two adjacent sides are equal, so the other sides must also have to be equal, and so all the sides are equal, making it a square
The first thing we observe is that three of the four angles are right angles.
 We have then that the possible quadrilateral is a rectangle or a square.
 However, we also have two of its sides (not opposite) are equal, that is, RS = ST.
 Therefore, the quadrilateral wanted is a square.
 Answer:  
 The quadrilateral is a square.

If n is divided by 7 the remainder is 3. What is the remainder if 3n is divided by 7?

Answers

So, if n Divided by 7 = 3 , then n must be 21, because if you do 3 x 7 it equals 21, so now we know n is 21, then that means its 3 x 21 divided by 7 which is 9. Hope i helped ^-^

Final answer:

If an integer n, when divided by 7, leaves a remainder of 3, then multiplying n by 3 and dividing by 7 will leave a remainder of 2.

Explanation:

Let's solve the problem where n when divided by 7 leaves a remainder of 3 and find the remainder when 3n is divided by 7. According to the information, if n divided by 7 leaves a remainder of 3, we can express n as 7k + 3 for some integer k.

To find the remainder when 3n is divided by 7, substitute 7k + 3 for n: 3n = 3(7k + 3) = 21k + 9. We can further simplify this to 21k + 7 + 2, or 7(3k + 1) + 2. Here, it's evident that when 21k + 9 (or similarly 7(3k+1)+2) is divided by 7, it leaves a remainder of 2.

what is the value of x if
6x +4=4x-2

Answers

x=-3

-3*6 +4=-14
4*-3 -2=-14

Hope that helps!
Subtract 4x+4
  2x = -6
Divide by 2
  x = -3

_____
When you don't know where to start on a linear equation, you can just subtract the expression on one side so you have an expression equal to zero. Here (below), we choose to subtract (4x -2), the expression on the right, because 4x has a smaller coefficient of x than does 6x. The result will be an x-term with a positive coefficient. (Planning ahead.)
  (6x +4) -(4x -2) = 0
  2x +6 = 0
Now, you have a variable term and a constant term. In either order, subtract the constant term and divide by the coefficient of the variable term.
  2x = -6
  x = -3
or
  x +3 = 0
  x = -3

_____
Remember always and truly: whatever you do to one side of the equation, you must also do to the other side.

Here, for example, when I say "subtract such-and-such", it means "subtract such-and-such from both sides of the equation."

There are folks who will tell you "move such-and-such to the other side and change its sign." Don't even begin to think that way. If you already have been told that, immediately drop that habit of thought.

WHATEVER YOU DO TO ONE SIDE OF THE EQUATION, YOU MUST ALSO DO TO THE OTHER SIDE. This rule is the entire basis for solving algebraic equations.

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 34 yard.

What is the volume of the container?

Answers

Given that volume is:
V=s³
where:
s=side length
The volume of a cube whose side length, s=3/4 yards will be given by:
V=(3/4)³
Simplifying this we get:
V=27/64 yd³

Answer: 27/64 yd³

Answer:

[tex]V=\frac{27}{64}yd^3[/tex]

Step-by-step explanation:

The edge length of the cube shaped bin is [tex]\frac{3}{4}\text{ yards}[/tex]

Hence, [tex]s=\frac{3}{4}\text{ yards}[/tex]

The volume of the cube is given by

[tex]V=s^3[/tex]

Plugging the value of s, we get

[tex]V=(\frac{3}{4})^3[/tex]

This can be further simplified as

[tex]V=\frac{3\times3\times3}{4\times4\times4}\\\\V=\frac{27}{64}[/tex]

Hence, the volume of the container is 27/64 cubic yards.

What fraction of a batch of trail mix consists of peanuts

Answers

2 and 2/3
This will be tha answer I tjink

The fraction of a batch of trail mix consisting of peanuts is 43/6.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of cups for peanuts = 2(2/3)

Total number of cups in the trial mix.

= 2(2/3) + 3/4 + 2(1/2) + 1(1/4)

= 8/3 + 3/4 + 5/2 + 5/4

= (32 + 9 + 30 + 15)/12

= 86/12

= 43/6

= 7(1/6)

Thus,

The fraction of peanuts is 43/6.

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can you help me..Pls work it out

Answers

The answer is the number -9 which is negative 9

You start off at -20 on the number line. Then move over to the right 16 places and you get to -4 on the number line. Then move to the left 5 spots and you'll land on -9

Or you can think of -20+16 as 20-16 = 4 and just make the result negative. So we would have -20+16-5 turn into -4-5. At this point, we add the numbers to get 4+5 = 9 and the result is negative because we're adding two negatives. So that's why the answer is -9

BRAINLIEST ANSWER GETS 27 POINTS!!!!!!!
In a random sample of 160 high school students, 64% of the students participated in summer camp activities. The estimate had a margin of error of 2.5% at a 95% confidence level. Which of the following is a potential percentage of high school students who participated in summer camp activities.
A. 60%
B. 68%
C. 62%
D. 67%

Answers

I have no clue what it could be but I think I might be D or B
The potential percentage of high school students who participated in summer camp activities is 62%. 

Find the distance between the points (2, 3) and (2, 8).
A) 2
B) 5
C) 10
D) 15

Answers

you use the distnace formula which is square root of (x2 - x1)^2 + (y2 - y1)^2.
In this case:
 
square root (2-2) ^2 + (8 - 3)^2
square root of (0)^2 + (5)^2
square root of 25 = 5 

So the distance is 5

The value of the distance between the points (2, 3) and (2, 8) is,

⇒ d = 5 units

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

To find the distance between the points (2, 3) and (2, 8).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Thus, The value of the distance between the points (2, 3) and (2, 8) is,

⇒ d = √(2 - 2)² + (8 - 3)²

⇒ d = √5²

⇒ d = 5 units

Thus, The value of the distance between the points (2, 3) and (2, 8) is,

⇒ d = 5 units

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The westside bakery uses 440 pounds of flour to make 1,000 loaves of bread.Each loaf contains the same amount of flour.How many pounds of flour are used in each loaf of bread

Answers

Set up a proportion to solve. 440 pounds of flour per 1000 loaves is to x pounds of flour per loaf.

x= # of pounds of flour per loaf

440/1000= x/1
cross multiply
(440*1)= (1000*x)
440= 1000x
divide both sides by 1000
440/1000= x
0.44= x

x= 0.44 pounds

ANSWER: 0.44 pounds of flour are used in each loaf.

Hope this helps! :)

Final answer:

Each loaf of bread from the Westside bakery contains 0.44 pounds of flour.

Explanation:

To determine the amount of flour used in each loaf of bread, we need to divide the total amount of flour used by the number of loaves produced. In this case, the bakery uses 440 pounds of flour to make 1,000 loaves of bread. So, to find out the amount of flour used in each loaf, we divide 440 by 1,000.

440 ÷ 1,000 = 0.44 pounds of flour

Therefore, each loaf of bread contains 0.44 pounds of flour.

Conplete the square to solve the quadratic equation. x
[tex]1 {x}^{2} - 6x + 12 = 2x + 20[/tex]

Answers

Answer:

[tex]\large\boxed{x=4\pm2\sqrt6}[/tex]

Step-by-step explanation:

[tex]x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6[/tex]

Final answer:

The quadratic equation x² - 6x + 12 = 2x + 20 is solved by completing the square, resulting in the solution x = 4 ± √24.

Explanation:

To solve the quadratic equation x² - 6x + 12 = 2x + 20 by completing the square, we first need to rearrange the equation to get 0 on one side. We do this by subtracting 2x and 20 from both sides, which gives us:

x² - 8x - 8 = 0

Next, we find the value to complete the square for the x terms. We take half of the coefficient of x, which is 8/2 = 4, and then square it, getting 4² = 16. We add 16 to both sides of the equation to form a perfect square on the left:

x² - 8x + 16 = 8 + 16

This simplifies to:

(x - 4)² = 24

To find the value of x, we take the square root of both sides:

x - 4 = ±√24

Finally, we solve for x:

x = 4 ± √24

Jennifer bought a thousand inch roll of ribbon for $21.00. If she cuts the ribbon into 75 equal hair ribbons, how much did she spend per ribbon?

Answers

The answer is 3.57
Hope I helped brainliest pts pls

A campground consists of 5 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 4 yd. The area of the campground, including the beach, is 950 sq yd. What is the width of one campsite?
A. 14.35 yd
B. 13.93 yd
C. 11.93 yd

Answers

Final answer:

To find the width of one campsite, we subtract the area of the beach from the total area and divide by 5 (the number of campsites). We set up a quadratic equation and solve for the width, finding that it is approximately 13.93 yd.

Explanation:

The student's question is about finding the width of one campsite in a linear arrangement of five campsites along a beach. Given that the area of the campground, including the beach, is 950 sq yd and the distance from the edge of a campsite to the water is 4 yd, we can set up an equation to find the total width of the five campsites. The total width of the campsites will be the total area minus the area of the beach, divided by the length of the campsites (which is 5 times the width of one campsite).

Let's call the width of one campsite 'w'. The area of the beach is 5w * 4 yd, since it extends the entire length of the campsites and is 4 yd wide. Therefore, the area of just the campsites is 950 sq yd - 5w * 4 yd. Since we have five campsites, all of equal width, the total width of the campsites is 5w. So we can set up the following equation:

950 - 5w * 4 = 5w2

Now solve for w:

950 - 20w = 5w25w2 + 20w - 950 = 0Using the quadratic formula, we find that w is approximately 13.93 yd, so the correct answer is B. 13.93 yd
Final answer:

B. 13.93 yd. The approximate width of one campsite is 13.81 yards.

Explanation:

To find the width of one campsite, we need to divide the area of the campground by the number of campsites. The given area of the campground is 950 sq yd, and there are 5 campsites. So, the area of one campsite is 950 sq yd / 5 = 190 sq yd. Since the campsite is square, the width and length are equal. Let's assume the width of one campsite is 'x' yards. Then the equation becomes x^2 = 190. By taking the square root of both sides, we get x = √190 ≈ 13.81 yards. Therefore, the approximate width of one campsite is 13.81 yards.

Which property justifies the fact that 5(x-2) is equivalent to 5x-10

Answers

The distributive property of multiplication over addition allows you do write that equivalence.
The distributive property

Ray has $36 to buy masonry nails and finishing nails for his project. Masonry nails sell for $5.50 per box, and finishing nails cost $3.50 per box. Only full boxes are available for purchase. If Ray buys 3 boxes of masonry nails, what is the maximum number of boxes of finishing boxes he can buy?

Answers

I think the answer is 1 box.

Answer:

5 boxes

Step-by-step explanation:

Given that;

The total amount Ray has with him to buy masonary nails and finishing nails for his project is $36

If Masonry nails sell for $5.50 per box

Finishing nails cost $3.50 per box.

Now, Only full boxes are available for purchase.

If Ray buys 3 boxes of masonry nails

i.e 3 × $5.50 = $16.5

what is the maximum number of boxes of finishing boxes he can buy?

To determine the number of finishing nails boxes he can buy. we will subtract the expense spent on the prior 3 masonary nails from his total amount

i.e $36 - $16.5

= $19.5

Let's not forget that, only full boxes are available for purchase and not half or quarter.

SO since 1 finishing nail box cost $3.50

then let x finishing nail box cost $19.5

∴ (x) × $3.50 =1 × $19.5

(x) = [tex]\frac{1*19.5}{3.50}[/tex]

(x)  = 5.57 boxes

Since full boxes are available for purchase then   (x)  ≅ 5 boxes, then Ray will be left with $2 at his pocket.

Therefore, the maximum number of boxes of finishing boxes he can buy is 5 boxes

How to solve a linear equation

Answers

Example
Y = 2/3x + 3

First you have to put the number 3 at y intercept
Second you use rise and run to find the point of 2/3

So your y intercept is 3
2/3 = 2 is positive number which mean 2 points up

And 3 is positive number move 3 points to the right

Sorry , I’m bad at explaining

Step-by-step explanation:

Let's use this equation as an example - [tex]102=-7r+4[/tex]

The whole point of a linear equation is to find what the variable (which in our case is r ) equals to.

Our equation: [tex]102=-7r+4[/tex]

First step is to try to get r alone on one side.

First step: [tex]102-4=-7r[/tex] we wouldn't do [tex]102+4=-7r[/tex] (notice it's negative and not positive) since we're switching the positive 4 to the other side we'd switch the positive to a negative, making it [tex]102-4[/tex].

Know that everytime we switch a number or variable to the other side we must always switch the sign to the opposite of what it is. If it's dividing, we multiply, if we subtract, we add, etc. Same with the other way around.

Second step is to solve both sides of the equation.

Second step: [tex]98=-7r[/tex]

Third step is to divide the both sides by the number with the variable, making it 98 divided by -7r and -7r divided by -7

Third Step: [tex]\frac{98}{-7} =\frac{-7r}{-7}[/tex] = [tex]-14=r[/tex]

Now we've found our variable.

Answer: [tex]-14=r[/tex]

The volume of the crate is 72 cubic feet but the length is 3ft the base is 6ft and the height is unknown

Answers

The volume of a crate is b x l x h. Reverse it to get 3 times 6 times h = 72. 3 times 6 is 18, so you know 18h=72. Divide both sides by 18 to get h = 4 ft.

Amy and Ebony are shopping. Amy has $77. Together, Amy and Ebony have less than $172. If x represents the amount of money Ebony has, which of the following inequalities represents this information?
A.) $77 + x > $172
B.) $172 + x < $77
C.) $77 + x < $172
D.) x - $77 < $172

Answers

Amy = $77
Ebony = x

Together, Amy and Ebony have less than $172:
Amy + Ebony < $172

$77 + x < $172 (Answer C)

Determine the better buy. 12 oz for $2.69 or 16 oz for $2.49?

Answers

12 oz for 2.68 = .22 per unit
16 oz for 2.49 = .16 per unit

the 16 oz for 2.49 is your better deal

The better buy is "16 oz. for $2.49". This can be found by dividing $2.69 by 12 and getting about $0.22 (amount per ounce) and dividing $2.49 by 16 and getting about $0.16 (amount per ounce).

Hot air is less dense than cool air, so hot air will rise above cool air. Increasing the air temperature inside a hot air balloon makes it lighter than the surrounding air, so the balloon can lift up. The density of hot air is about 0.25 kg/m^3 less than that of cool air, which means a cubic meter of hot air can lift about 0.25 kg. What is the minimum volume of hot air needed to lift a hot air balloon carrying 800 kg?

Answers

Final answer:

The minimum volume of hot air needed to lift a hot air balloon carrying 800 kg is 3200 m³.

Explanation:

The minimum volume of hot air needed to lift a hot air balloon carrying 800 kg can be calculated by using the density difference between hot air and cool air. Given that the density of hot air is about 0.25 kg/m³ less than that of cool air, we can calculate the volume of hot air needed.

Let V be the volume of hot air needed. The weight of the hot air balloon is equal to the weight of the cool air displaced by the hot air balloon. So we can set up the equation 800 kg = ((V + 1) - V) x 0.25 kg/m³, where 1 represents the volume of the hot air balloon itself.

Simplifying the equation, we have 800 kg = 0.25 kg/m x 1 m³, which gives us V = 800/0.25 = 3200 m³. Therefore, the minimum volume of hot air needed to lift the hot air balloon carrying 800 kg is 3200 m³.

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A baseball team played 147 regular season games. The ratio of the number of games they won to the number of games they lost was four thirds 4/3. How many games did they​ win? How many games did they​ lose?

Answers

147 : ( 4 + 3 ) = 21

21 * 4 = 84 (win)
21 * 3 = 63 (lost)
-------------------------

84 + 63 = 147

84/63 = 4/3


Final answer:

To find the number of games won and lost by the baseball team, use the given win to loss ratio of 4/3 and the total number of games played (147) to establish a system of equations and solve for the number of wins and losses. The team won 84 games and lost 63 games.

Explanation:

The student has asked how many games a baseball team won and lost given that they played 147 regular season games with a win to loss ratio of 4/3. To solve this, let w represent the number of games won and l represent the number of games lost. According to the ratio, we have w/l = 4/3. Because the total number of games is 147, we can express this as w + l = 147.

First, express the number of losses in terms of wins using the ratio: l = 3w/4.

Next, substitute l in the total games equation: w + 3w/4 = 147.

Solving for w gives w = 84 (number of games won).

To find l, substitute w back into l = 3w/4 to get l = 63 (number of games lost).

The baseball team won 84 games and lost 63 games.

Which of the following are factors of 6x^2+30x-36?
A) x-1
B)x+2
C)2
D)3
E)x+6
F)x-6
G)x-2

Answers

the factor is x-6 since the two factors of your equation are (6x-6) and (x-6)
6x^2+30x-36
(6x-6)(x+6)
 

Which number produces a rational number when added to 1/2?

Answers

Adding any rational number to 1/2 results in another rational number, because rational numbers can always be expressed as fractions with integers as numerators and denominators, making addition straightforward by finding a common denominator.

Any number that can be expressed as a fraction where both the numerator and denominator are integers (excluding zero as the denominator) will produce a rational number when added to 1/2. For example, adding 1/2 to 3 (which is the same as 3/1) will yield 3 1/2 or 7/2, still a rational number. By definition, rational numbers include integers, finite decimals, and repeating or terminating decimals, as they can all be represented as fractions.

Understanding Rational Numbers:

To solve the more difficult problem, one might need to find common denominators when working with more complex fractions. For instance, adding 1/2 to 2/3 requires a common denominator: 3/6 + 4/6 = 7/6. The key point here is that when you add any rational number to another rational number (like 1/2), the result will be rational because you can find a common denominator and then add the numerators, keeping that same common denominator.

What is the upper quartile of the data represented in the following box-and-whisker plot?

8
12
16
20

Answers

Answer: The upper quartile is 12.

In a box and whiskers plot, the point on the right edge of the box is called the upper quartile. In this case, that value is 12. It represents the median of the upper half of the set of data.

Answer:

Step-by-step explanation:

12

Which statements about the opposite of −12 are true?
Select each correct answer.

A. −12 and its opposite are on located on the same side of zero on a number line
B. The opposite of −12 is -1/12
C.−12and its opposite are located the same distance from zero on a number line.
D.The opposite of the opposite of −12 is −12

Answers

the answer would be C
The correct answer is C.

At a school, 40% of sixth grade students said that hip-hop is their favorite kind of music. If 100 sixth grade students prefer hip-hop music, how many sixth grade students are at school

Answers

60 kids like hip hop

250 students are in the 6th grade

A city has a population of 260,000 people. Suppose that each year the population grows by 5.5% . What will the population be after 8 years?

Answers

628,182 is the answer to this question
I got 638,181. 260,000 divided by 5.5. That times 8. Plus 260,000

Mike says that 3/3 of his fraction model is shaded blue. Ryan says that 6/6 of the same model is shaded blue. Are the two fractions equivalent?

Answers

Yes, because the simplfy to 1
Yes, 3/3 & 6/6 are equivalent.

Hope this helped!

What's the formula for finding the surface area of a prism and the formula for the surface area of a triangular prism??

Answers

the surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height.

The formula  A=1/2 bh 

Answer:

i) The general formula to find the surface area of a prism = ph + 2B

ii) The area of the triangular prism = ph + 2([tex]\frac{1}{2} bh[/tex])

Step-by-step explanation:

A prism is a three-dimensional figure. The surface area of a figure is the sum of all the areas of its sides.

For example, rectangular prism has 6 sides, to find the surface of rectangular prism, we need to find the area of each side and add them together to get the surface area.

So, the general formula to find the surface area of a prism = ph + 2B, where "p" is the perimeter of the base, "h" is the height of the prism and B is the area of the base.

Now let's find the area of triangular prism.

In the triangular prism, there are two triangles and three rectangles.

Area of a triangle = [tex]\frac{1}{2} bh[/tex]

So, the area of the triangular prism = ph + 2([tex]\frac{1}{2} bh[/tex])

Alexander found the means-to-MAD ratio of two data sets to be 3.4



What can he conclude about the distributions?



A.


They are similar.


B.


They are somewhat similar.


C.


They are different.


D.


They are identical.

Answers

Answer: the answer is c

Step-by-step explanation:

The table shows the profit from a school book fair based on the number of books sold. What is the rate of change for the function represented in the table?
$0.50

$0.67

$1.07

$1.50

Book sold Profit f(x)
(X)
100       ║   $50.00
250      ║      $275.00
300      ║      $350.00
350     ║     $425.00

answer is A-$0.50

Answers

You are given a table

[tex]\begin{array}{cc}\text{Number of books sold} & \text{Profit}\\100 & \$50\\250 & \$275\\300 & \$350\\350 & \$450\end{array}[/tex]

The rate of change for the function represented in the table can be calculated using the formula

[tex]\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i},[/tex]

where i=1,2,3.

1. When i=1,

[tex]\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{275-50}{250-100}=\dfrac{225}{150}=1.5[/tex]

2. When i=2,

[tex]\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{350-275}{300-250}=\dfrac{75}{50}=1.5[/tex]

3. When i=3,

[tex]\dfrac{y_4-y_3}{x_4-x_3}=\dfrac{425-350}{350-300}=\dfrac{75}{50}=1.5[/tex]

Then the rate of change is $1.5

Answer: correct choice is D.

The rate of change for the function is [tex]\$ 1.5[/tex]

The rate  of change for the function is calculate by the formula

[tex]\frac{y_{n+1}-y_n}{x_{n+1}-x_n}[/tex]

Where [tex]n=1,2,3[/tex].

A) when [tex]n=1[/tex]

[tex]\frac{y_{1+1}-y_1}{x_{1+1}-x_1}=\frac{y_{2}-y_2}{x_{2}-x_2}[/tex]

[tex]\dfrac{275-50}{250-100}=\dfrac{225}{100}[/tex]

Hence Rate of change when [tex]n=1[/tex] is [tex]1.5[/tex]

B)when [tex]n=2[/tex]

[tex]\frac{y_{2+1}-y_2}{x_{2+1}-x_2}=\frac{y_{3}-y_2}{x_{3}-x_2}[/tex]

[tex]\dfrac{350-275}{300-250}=\dfrac{75}{50}[/tex]

Hence Rate of change when [tex]n=2[/tex] is [tex]1.5[/tex]

C) when [tex]n=3[/tex]

[tex]\frac{y_{3+1}-y_3}{x_{3+1}-x_3}=\frac{y_{4}-y_3}{x_{4}-x_3}[/tex]

[tex]\dfrac{425-350}{350-300}=\dfrac{75}{50}[/tex]

Hence Rate of change when [tex]n=3[/tex] is [tex]1.5[/tex]

So the rate of change for function represented in the table is same for different value of [tex]n[/tex] i.e, [tex]\$ 1.5[/tex].

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