The dot plots below show the scores for a group of students who took two rounds of a quiz:
(See attached for image_

Which of the following inferences can be made using the dot plot? (5 points)

Question 13 options:

1)

The range of each round is the same.


2)

There is no overlap between the data.


3)

Round 1 scores were higher than round 2 scores.


4)

Round 2 scores were lower than round 1 scores.

The Dot Plots Below Show The Scores For A Group Of Students Who Took Two Rounds Of A Quiz: (See Attached

Answers

Answer 1

Answer:

1)  range is same for each round

Step-by-step explanation:

range for Round 1:  8-5 = 3

range for Round 2:  9-6 = 3


Related Questions

what are the elements found in both a narrative and a story

Answers

The theme is the underlying message, lesson, or central idea conveyed by the narrative or story.

Both a narrative and a story share several common elements that contribute to their structure and presentation. These elements include characters, setting, plot, conflict, and theme.

Characters are essential components of both narratives and stories. They are the individuals or entities that drive the events and experiences within the narrative or story. The setting is the time and place in which the events occur and provide the context for the story.

The plot refers to the sequence of events that unfold and create a structure for the narrative or story. Conflict represents the central problem or challenge faced by the characters and is often a driving force behind the plot's progression.

These shared elements create a framework for both narratives and stories, enabling the development and communication of experiences, ideas, and emotions to the audience. They contribute to the engagement, coherence, and impact of the narrative or story, regardless of the medium or genre in which they are presented.

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∎=32÷4 answer plss. hsvhrxkfhgt

Answers

Answer:

hi

Step-by-step explanation:

32÷4=8

check it like this-

8×4 is 32

have a nice day

Answer:

8

Step-by-step explanation:

8*4=32

or

8+8+8+8=32

A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:

Answers

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Acellus
Find the measure of < 4.
44
158°
{
*4 = [?]
Fnter

AcellusFind the measure of &lt; 4.44158{*4 = [?]Fnter

Answers

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

How do i solve for number 3

How do i solve for number 3

Answers

Answer:

Part 2. Evaluate: C(-1).

Step-by-step explanation:

How do i solve for number 3.

Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?

Answers

Answer: 5/8

Step-by-step explanation:

To do this you have to add the weight of each purchase

\(\frac{1}{4} +\frac{3}{8}\)

But in order to add them together, there has to be a common denominator.

In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:

\(\frac{1}{4}*\frac{2}{2} = \frac{2}{8}\)

Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.

\(\frac{2}{8}+\frac{3}{8} = \frac{5}{8}\)

Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Approximate the amount of tip for the florist by rounding the cost and the percent gratuity to the nearest ten.

Answers

Answer: Is 9

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

hope that helps you: )

$576.188 rounded to the nearest hundredth I see

Answers

Answer:

$576.19

Step-by-step explanation:

$576.188 rounded to the nearest hundredth I see

8 / 1/3 and 2 / 1/9 what's the generalizations can make about the equations

Answers

The generalization about the terms is that one is the cube root of the other

∛(8/9) = 2/3

What is generalizations in mathematics?

Generalization can be viewed as a statement that holds true for a broad category of objects or numbers, as the method by which we arrive at a general statement, or as a means of transferring information from one context to another in the mathematics.

The equation represented as 8 / 1/3 and 2 / 1/9

is made an equated to each other and rearranged as follows

8 / 1/3 ⇔ 2 / 1/9

cross multiplying

8 * 1/9 ⇔ 2 * 1/3

8/9 ⇔ 2/3

the equation only holds true when the cube root sign is there then we have

∛(8/9) = 2/3

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15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.

Answers

Answer:

The answer is Ahope this helps

On November 1st, Halloween candy is discounted 60%. If the original price of a bag of candy corn was $5, what is the final price of the candy, including the discount and a 10% sales tax?

Answers

Answer:

$2.20

Step-by-step explanation:

Original price (before discount and before tax): $5

Discount is 60%.

Amount of discount is: 60% of $5 = 0.6 × $5 = $3

Price after 60% discount: $5 - $3 = $2

Tax is 10%.

Amount of tax is: 10% of $2 = 0.1 × $2 = $0.20

Final price = price after discount + tax = $2.00 + $0.20 = $2.20

A percentage is a way to describe a part of a whole. The final price of the candy, including the discount and a 10% sales tax is $2.2.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the cost of the candy is $5 and a 60% discount is given on the candy. Therefore, the price of the candy after the discount will be,

Discounted price = Price - 60% of price

                             = $5 - 0.60($5)

                             = $5 - $3

                             = $2

Now, on the price of the candy 10% sales tax will be added. Therefore, the Price of the candy after adding Tax will be,

Taxed price = Discounted price + 10% of discounted price

                    = $2 + 0.10($2)

                    = $2 + $0.2

                    = $2.02

Hence, the final price of the candy, including the discount and a 10% sales tax is $2.2.

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Please help me please

Please help me please

Answers

Taking w as the unknown number, the equation for the given statement is 2(w-8) = 5.

To solve this problem, we need to convert the given statement in mathematical form.

We assume that "w" is the unknown number in the equation.

First, we have to take a closer look at the given statement. It was stated that "twice the different of...  is equal to 5".  It shows that the result of equation 5 is the double value of another equation. We assume the unknown equation as y. Then:

2y = 5

Next, the rest of the statement stated that "a number and 8". From this part of statement, we know that the unknown equation "y" we assume above should be replace with "w-8". Hence:

2(w - 8) = 5

If we want to solve this question, we can solve it by dividing both sides with 2:

2(w - 8) = 5

------------------- : 2

w - 8 = 5/2

w = 5/2+ 8

w = 10.5

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Write 1 3/4 as a decimal and as a percent

Answers

Answer:

Decimal: 1.75

Percentage: 175%

Hey there!

1 3/4

= 1 * 4 + 3 / 4

= 4 + 3 / 4

= 7 / 4

= 7 ÷ 4

= 1.75

= 1.75 * 100

= 175%

Therefore, your answer should be:

• 1.75 (as your decimal form)
• 175% (as your percentage form)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

If a die is rolled one time, find the probability of getting a six.
P(6) = ?

Answers

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30

Answers

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

An urn contains 9 black and 8 pink balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are black

Answers

Answer:

0.0416

Step-by-step explanation:

Given :

Number of balls :

Pink = 8 ; black = 9

Total number of balls = 8+9 = 17

Choosing with replacement :

Probability = required outcome / Total possible outcomes

Required outcome = number of black balls

Total possible outcomes = total number of balls

P(black) = 9/17

Number of picks = 5

Hence, Probability that all 5 picks are black :

P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879

= 0.0416

how many tenths are in 4600​

Answers

Answer:

4600 tenths as a Fraction

Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.

4600 tenths as a Decimal

If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.

4600 tenths as a Percent

To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.

4600 tenths of a dollar

First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.

Step-by-step explanation:

Hope this helped!

Stay safe!!!

Answer:

Step-by-step explanation:

To answer this, multiply 4600 by 10:  46000.  There are 46000 tenths in 4600.

Which of the following equations is of a line that is parallel to y = 3x + 2? *

Answers

Answer:

I don't see any answer choices, but read my explanation

Step-by-step explanation:

Any line with a slope of 3 would be parallel to y=3x+2.

For example,

y=3x+4

y=3x-1

y=3x

All of these lines are parallel to the original equation

Natalie launches a toy rocket from a platform. The graph below shows the height of the rocket ℎ h in feet after t seconds.

Answers

The x-coordinate (or t-coordinate) of the vertex is 1.5 seconds and represents the time at which the rocket reaches its maximum height. The y-coordinate (or h-coordinate) of the vertex is 334 feet and represents the maximum height reached by the rocket.

Describe Function?

A function is a mathematical relationship that describes how one quantity (the output or dependent variable) depends on one or more other quantities (the inputs or independent variables).

A function can be thought of as a machine that takes in input values, applies a set of rules or operations to them, and produces an output value. The input values can be any set of numbers or other objects that the function is defined for, and the output values can be any set of numbers or objects that the function can produce.

To find the x-coordinate (or t-coordinate) of the vertex, we can use the formula:

x = -b / (2a)

where a is the coefficient of the squared term, b is the coefficient of the linear term, and x represents the time at which the rocket reaches its maximum height. The equation of the parabolic function that models the height of the rocket is:

h = at² + bt + c

where h is the height of the rocket at time t.

We can use the coordinates of the points on the parabola to find the values of a, b, and c:

(0, 260): 260 = a(0)² + b(0) + c, so c = 260

(2, 324): 324 = a(2)² + b(2) + 260, so 4a + 2b = 64

(6.5, 0): 0 = a(6.5)² + b(6.5) + 260, so 42.25a + 6.5b = -260

We can solve this system of equations to find the values of a and b:

4a + 2b = 64

42.25a + 6.5b = -260

Multiplying the first equation by 3.25 and subtracting from the second equation, we get:

42.25a + 6.5b - 13a - 6.5b = -260 - 208

29.25a = -468

a = -16

Substituting a = -16 into the first equation, we get:

4(-16) + 2b = 64

b = 48

Therefore, the equation of the parabolic function is:

h = -16t² + 48t + 260

The x-coordinate (or t-coordinate) of the vertex is:

t = -b / (2a) = -48 / (2(-16)) = 1.5

The x-coordinate (or t-coordinate) of the vertex is 1.5 seconds and represents the time at which the rocket reaches its maximum height.

To find the y-coordinate (or h-coordinate) of the vertex, we can substitute t = 1.5 into the equation of the parabolic function:

h = -16(1.5)² + 48(1.5) + 260 = 334

Therefore, the y-coordinate (or h-coordinate) of the vertex is 334 feet and represents the maximum height reached by the rocket.

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The complete question is:

Natalie launches a toy rocket from a platform. The graph below shows the height of the rocket h in feet

The photo is kinda blurry but please help me with it

The photo is kinda blurry but please help me with it

Answers

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

What is a dilation?

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

Missing Information

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

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Simplify -a -(a-b) ​

Answers

Answer:

b

Step-by-step explanation:

-a-(a-b)

Distribute the negative sign to get -a+a+b

-a cancels out a, and you're left with b.

Answer:a²-ab

Step-by-step explanation:

since the negative symbol is on the outside of the parenthesis all values inside the parenthesis get reversed. so:

-a(-a+b)

Then multiply by -a:

a²-ab

One Solution
x = a
No Solutions
a = b
Infinitely Many Solutions
X = X
Equation
5(a + 2) = 4a +12
5(2c + c) = 45 + 5c
2(a - 2) = 2a - 4
Solve
Check
your
solution
End
Results

Please help!!

One Solutionx = aNo Solutionsa = bInfinitely Many SolutionsX = XEquation5(a + 2) = 4a +125(2c + c) =

Answers

Answer:

Step-by-step explanation:

One Solution

x = a

No Solutions

a = b

Infinitely Many Solutions

X = X

Equation

5(a + 2) = 4a +12

5(2c + c) = 45 + 5c

2(a - 2) = 2a - 4

Solve

Check

your

solution

End

Results

Answer:

prolly jus pray n ask god

Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake (Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively. a. Formulate the Revenue function If it takes 4 cups of milk, 7 cups of sugar, 1 egg, 3 cups flour & 4 cups cream to make Cake 1; 3 cups milk, 4 cups sugar, 2 egg, 4 cups flour & no cream to make Cake 2; 1 cups milk, 5 cups sugar, 3 eggs, 2 cups flour & 1 cup cream to make Cake 3; 5 cups milk, no sugar, 4 eggs, 4 cups flour & 5 cups cream for Cake 4; & lastly 4 cups milk, 8 cups sugar, 5 eggs, 6 cups flour & 3 cups cream to make Cake 5; Which types of cakes to be baked such that we get maximum Revenue? Keep in mind that the store has availability of maximum 280 cups milk, 300 cups sugar, 80 eggs, 250 cups flour & 190 cups cream at their disposal. b. Formulate the constraints of the scenario. c. Solve the system if linear inequalities using Excel Solver.

Answers

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

How did we get these values?

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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In the United States, 41% of 18 to 29-year-olds said in a survey held in March 2020 that they turrently subscribed to Hulu. What is the probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu?

Answers

The probability in a random sample of 55 18 to 29-year-olds that 20 will say they currently have a subscription to Hulu is: 0.087.

How to find the probability?

This is a binomial distribution problem, where n = 55 and the probability of success (i.e. a person subscribing to Hulu) is p = 0.41.

The probability mass function of a binomial distribution is:

P(X = x) = (nCx) * p^x * (1-p)^(n-x)

where nCx is the binomial coefficient (i.e. the number of ways to choose x items from n items).

So, in this case, we want to find P(X = 20):

P(X = 20) = (55C20) * 0.41^20 * (1-0.41)^(55-20)

P(X = 20) ≈ 0.087

Therefore, the probability that in a random sample of 55 18 to 29-year-olds, 20 will say they currently have a subscription to Hulu is approximately 0.087or 8.7%.

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Please help thxxxxxxxxxxxxxx

Please help thxxxxxxxxxxxxxx

Answers

Answer:

18

Step-by-step explanation:

Well first off you do 6+4 because there is these things ( ) and then u get the answer 10! Since 6+4 is 10 so then u times 10 by 3 and you get 30!!

Plans were made for a rectangular garden to be planted outside a library. The plans use a scale of 1.6cm=2cm. If the Girardeau is 14cm by 10cm on the scale, find the actual dimensions

Answers

The actual dimensions of the rectangular garden are 17.5 cm by 12.5 cm

How to determine the actual dimensions

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

Scale: 1.6 cm = 2 cm

A scale is the ratio of the size of the drawing to the size of the actual object.

Given that the dimension is

14 cm by 10 cm


Using the above as a guide, we have the following equation

Actual = 14 * 2/1.6 cm by 10 * 2/1.6 cm

Evaluate

So, we have the following representation

Actual = 17.5 cm by 12.5 cm

Hence, the actual is 17.5 cm by 12.5 cm

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3.Write the equation of the line best fit

3.Write the equation of the line best fit

Answers

Answer: y = -5/8x + 6

Step-by-step explanation: The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. The line of best fit is already given in this specific question, and we just have to figure out the equation of that line. The equation can be determined using the equation y=mx+b, where "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the slope (rise over run) is -5/8 and the y-intercept is (0,6), the equation of the line of best fit is y=-5/8x+6.

Which of the following represents the diameter of the circle below?
O A. TH
OB. OH
OC. H
OD. O
O
H

Which of the following represents the diameter of the circle below?O A. THOB. OHOC. HOD. OOH

Answers

The correct answer is option (A) TH. The diameter of the circle shown in the diagram is TH

A diameter is a straight line that passes through the center of the circle and connects two points on the circle.

Therefore, in order to find the diameter of a circle, we need to identify two points on the circumference that are opposite to each other.

These two points form the endpoints of the diameter of the circle.

The given circle is shown below: As we can see from the diagram, points H and T lie on the circumference of the circle, and they are opposite to each other.

Hence, the line TH is the diameter of the circle.

Therefore, the correct answer is option (A) HT, which represents the diameter of the circle shown in the diagram.

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a cylinder is 100 centimeters long and has a diameter of 8 centimeters what is the volume of the cylinder

Answers

Based on the calculations, the volume of the cylinder is; 5028.6 cubic cm

How to calculate the volume of a cylinder?

Mathematically, the volume of a cylinder can be calculated by using this formula:

V = πr²h

Where V is the volume of a cylinder. h is the height of a cylinder. r is the radius of a cylinder.

When h = 100 cm and r = 4, the volume of this cylinder is;

V = πr²h

V = 22/7 x  4² x 100

V =  22/7 x  16 x 100

V = 5028.6 cubic cm

Hence the volume of the cylinder is; 5028.6 cubic cm

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