15PTSSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
19) Student Heights in Inches:

54, 55.5, 56, 56, 56.5, 57, 58, 58, 58, 58.5,
58.5, 59, 59, 59.5, 60, 60, 60.5, 61, 63, 72


Mrs. Blackwell's class is getting a new student next week. The current students want to predict the height of the new student. They record the height of everyone in the class. Which measure of center should they use to make the prediction and what should be their prediction?
A) the mean and they should predict 59 inches
B) the mean and they should predict 58.5 inches
C) the median and they should predict 59 inches
D) the median and they should predict 58.5 inches

Answers

Answer 1

Answer: D. The Median and they should predict 58.5 inches.

Step-by-step explanation: Before we start, we want to use median. This is because there is an outlier, 72, and that would mess up the mean by a small yet noticeable margin.

Since the median picks both numbers 58.5 and 58.5, that means that the answer will be D. The Median and they should predict 58.5 inches.

Answer 2

Answer:

D The median and they should predict 58.5

Step-by-step explanation:

If you count from the outsides and go to the inside with a pencil or you're fingers then you get 58.5 :D


Related Questions

please please help 1-5

Answers

Answer:

1. 12 bags for total cost of 119.88

2. Yes. You'll make $180.12 for your labor.

3. Other tools, transportation, weather delay etc.

4. $28.02

5. Yes

Step-by-step explanation:

Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.

Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.

If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.

Yes, I would take the job, since $28.02 is well above minimum wage.

Based on a sample survey, a company claims that 75% of their costumers are satisfied with their products. Out of 1,176 customers, how many would you predict to be satisfied?

Answers

Answer:

I got 882

Step-by-step explanation:

I did what is 75% of 1,176

Solve by Elimination. (10 Points)
Show all work. Clearly identify the solution.
y=2x+3
x+y=6

Answers

Make y the subject:

y = 6 - x

Now, use Elimination.

0 = 3x - 3

Divide both sides by 3:

0 = x - 1

So x = 1.

Substitute back into the equation:

y = 6 - (1)

So y = 5.

Hence, the answers are x = 1, y = 5.

one letter tile is drawn from the bag and replaced 300 times. Predict how many times a consonant will not be picked ​

Answers

58:

There are 26 letters in the alphabet and 5 of them are not consonants of the probability of not getting a consonant is 5/26

Times this by 300 to get 57.69 that rounds to 58 times a non consonant will be picked in 300 picks

The predicted number of times a consonant will not be could be picked is 58 times.

The total number English alphabets = 26

Number of non consonant letters = 5

The probability of choosing a non-consonant letter at random from a single pick :

Number of  non- consonant letters / total number of alphabets = 5 /26

To predict the number of times a non-consonant letter could be selected from 300 selections :

(Number of selections × probability per pick)

(300 × 5/26)

= 57.69

= 58 times

A non- consonant could be selected approximately 58 times.

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Plz help me i need it

Answers

I'm sorry I'm not entirely sure. But I think -2 and 4. If it's not multiple choice I say -2.

Answer:   4

Step-by-step explanation:

Average rate of change is the slope between that interval

[tex]f(x) = x^2-3\\\\f(1)=1^2-3\\.\qquad =-2\\,\qquad (1, -2)\\\\f(3)=3^2-3\\.\qquad =6\\.\qquad =(3,6)\\\\slope=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\slope=\dfrac{6-(-2)}{3-1}=\dfrac{8}{2}=\large \boxed{4}[/tex]

If arc AD = 130° and arc AB = arc CD = 80°, what is the measure of ∠APD?

Answers

Answer:

the answer is 25

Step-by-step explanation:

1/2(130-80)

Answer:

(B)

Step-by-step explanation:

Given: It is given that arc AD=130° and arc AB=arc CD=80°.

To find: The measure of ∠APD.

Solution: It is given that arc AD=130°⇒m∠AOD=130° (The measure of the central angel is equal to the intercepted arc)

Also, arc AB=arc CD=80°⇒m∠AOB=m∠DOC=80° (The measure of the central angel is equal to the intercepted arc)

We know that the sum  of the central angles is equal to 360°, thus

m∠AOD+m∠AOB+m∠BOC+m∠COD=360°

⇒130°+80°+m∠BOC+80°=360°

⇒290°+m∠BOC=360°

⇒m∠BOC=360°-290°

⇒m∠BOC=70°

Now, since  (The measure of the central angel is equal to the intercepted arc), therefore arcBC=70°.

Also, we know that Angle Formed by Two Secants is half of the DIFFERENCE of Intercepted Arcs, therefore

[tex]m{\angle}APD=\frac{1}{2} (arcAD-arBC)[/tex]

Substituting the values, we get

[tex]m{\angle}APD=\frac{1}{2} (130-70)[/tex]

⇒[tex]m{\angle}APD=\frac{60}{2}[/tex]

[tex]m{\angle}APD=30^{\circ}[/tex]

Thus, the measure of ∠APD is 30°.

Hence, option B is correct.

When you don’t know the answer on a multiple choice questions, it is generally best to:

APEX

Answers

B , go with your first guest
Final answer:

When you don’t know the answer on a multiple choice questions, it is generally best to use the process of elimination, make an educated guess, or use prior knowledge to increase your chances of getting the right answer.

Explanation:When you don’t know the answer on a multiple choice questions, it is generally best to:

When you encounter a multiple choice question and you don't know the answer, there are a few strategies you can use to increase your chances of getting it right:

Process of elimination: Go through each answer choice and eliminate the ones that you know are incorrect. This reduces the options and increases your chances of guessing correctly.Guess strategically: If you can eliminate a few answer choices, make an educated guess based on the remaining options. For example, if you know that two answer choices are incorrect, your guess will have a 50% chance of being correct.Use prior knowledge: Sometimes, even if you don't know the answer, you can make an educated guess based on what you already know about the subject. Use any clues or information from the question stem to help guide your guess.

Remember, when guessing on multiple choice questions, it's important to consider the context of the question and eliminate obvious incorrect choices before making your guess.

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Of the choices below, which unit of measurement would be most appropriate for measuring the mass of a train?

Answers

comment the choices and I can tell you the answer. from a guess I would say kilogram

Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

What is mass?

Mass is defined as the matter that is present in the given object. Following are the most commonly used units for the measurement of mass:

GramKilogram

SI Unit of Mass;

The standard SI unit of mass is as; kilogram (kg)

Other units that are accepted for use in SI are gram (g) and its multiples and submultiples, a tonne (t) (or “metric ton”), electronvolt (eV), the atomic mass unit (u) which is most convenient for expressing the masses of atoms and molecules.

Hence, Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

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Which equation or inequality shows the relationship between the values |7| and |-7|? A. |7| > |-7| B. |7| < |-7| C. |7| = |-7| D. |7| ≠ |-7|

Answers

Answer:

C.)

| 7 | = | -7|

Step-by-step explanation:

because absolute values are always positive....so, absolute values of  | -7 | and | 7 | are both 7

Answer:

Step-by-step explanation:

7 I guess

Explain how you would use mental math to express 16/25 as a percent???

Answers

16/25 (× 4 -up & down)

=64/100 (devide)

=0.64%

Consider the following figure. Which of the following statements are true?
A. 2 and 3 form a linear pair
B. 1 and 4 are supplementary angles
C. m1 + m2 + m 3 = 180
D. m3 + m4 = m1 + m2
E. 1 and 4 are vertical angles

Answers

The answer would be D and E

The following statements that are true: m1 + m2 + m 3 = 180 and 1 and 4 are vertical angles.

Statement A is false. Angles 2 and 3 are not adjacent to each other, so they do not form a linear pair.

Statement B is false. Supplementary angles add up to 180 degrees, but angles 1 and 4 do not add up to 180 degrees.

Statement C is true. The sum of the measures of the angles in a triangle is 180 degrees. Therefore, the sum of the measures of angles 1, 2, and 3 is 180 degrees.

Statement D is false. Angles 3 and 4 are not opposite each other, so they are not vertical angles.

Statement E is true. Vertical angles are opposite each other, and angles 1 and 4 are opposite each other. Therefore, angles 1 and 4 are vertical angles.

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On a​ map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the​ cities?

Answers

If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

So you want to find out the distance for both the cities. Since there are 8 inches to both cities, then the answer would be 160 miles since every inch would equal to 20 miles, which is the actual distance.

Hope this helped!

Nate

Which of the following are point-slope equations of the line going through (-5,6) and (1,1)?

Answers

Answer:

[tex]A.\ y-6=-\dfrac{5}{6}(x+5)\\\\B.\ y-1=-\dfrac{5}{6}(x-1)[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-5, 6) and (1, 1). Substitute:

[tex]m=\dfrac{1-6}{1-(-5)}=\dfrac{-5}{6}\\\\\text{For point (-5, 6):}\\\\y-6=-\dfrac{5}{6}(x-(-5))\\\\y-6=-\dfrac{5}{6}(x+5)[/tex]

[tex]\text{For point (1, 1):}\\\\y-1=-\dfrac{5}{6}(x-1)[/tex]

Do any of you know the answer to this​

Answers

Answer: n< -4 , or Interval notation as ( -∞, -4 )

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

n < -4 is equivalent to -n > 4

Step-by-step explanation:

-n > 4            change the signs

n < -4

what is the range for 2,8,15,4,11,6,2,6​

Answers

Answer:

The range is 13. Hope this helps.

Answer:

13

Step-by-step explanation:

Range = Highest value - lowest value

Range = 15-2

Range = 13

Hope This Helps:)

PLEASE HELP ASAP!!!!
1. Give an example of a compound event. Why is it a compound event? How do you calculate the probability of a compound event?

2.Explain how you would create and use a spinner to simulate the probability of an event.

3.Max has a bag of plain and cat’s eye marbles. There are 30 plain marbles and 7 cat’s eyes. He picks one marble and sets it aside. Then he picks
another. What is the probability that he picked 2 cat’s eye marbles?

Answers

Answer: a compound event is when only 2 things can happemn

you divide the first number by the second number

you would creat a spinner with several collers then each coler would be a event you spin and that coler is the event

7/37

please give me brainly

Step-by-step explanation:

Final answer:

An example of a compound event is tossing a coin and drawing a card; it involves multiple independent events. A spinner for probability should represent outcomes fairly. The probability that Max picks 2 cat's eye marbles consecutively is calculated by multiplying the probability of each selection.

Explanation:

Understanding Compound Events and Probability

An example of a compound event is tossing a coin and drawing a card from a poker deck simultaneously. It is classified as a compound event because it consists of two independent events that result in a combined outcome. The probability of a compound event is calculated using the product rule when the events are independent. This is done by multiplying the probabilities of each independent event occurring on its own.

To create a spinner that simulates the probability of an event, identify all the possible outcomes and ensure they are represented on the spinner fairly, with areas proportional to the probabilities of the outcomes. Spin the spinner a large number of times, documenting the outcomes to estimate the probability based on relative frequency.

Calculating the probability that Max picks 2 cat’s eye marbles in a row involves dependent events since the outcome of the first draw influences the outcome of the second. Initially, there is a 7/37 chance of picking a cat’s eye marble. Once one is picked, there are 6 cat’s eye marbles left and 36 marbles in total, so the probability of the second pick being a cat’s eye marble is 6/36. The combined probability is (7/37)*(6/36).

1-sin^2x/sinx-cscx

How do I solve this problem? I keep getting the wrong answer.

Answers

Answer:

-sinx

Step-by-step explanation:

a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1

with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x

so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx

it is also important to know that cscx is the same thing as 1/sinx

knowing this information, cscx can be replaced with 1/sinx

(cos^2x)/(sinx - 1/sinx)

now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....

cos^2x

---------------------

(sin^2x - 1)/sinx

notice how in the denominator it has sin^2x-1 which is equal to -cos^2x

so now it becomes:

cos^2x

--------------

-cos^2x/sinx

because we have a fraction over a fraction, we need to flip it

cos^2x          sinx

---------- * ----------------

1                  -  cos^2x

because the cos^2x can cancel out, it becomes 1

now the answer is -sinx

An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day. Write a linear equation to compare the price of a television, p, to the number sold, x. Then write a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x.

Answers

Answer:

[tex]p = -10x + 200[/tex]

[tex]m = -10x^2 +200x[/tex]

Step-by-step explanation:

We know that at a price of $ 150, 5 televisions are sold and at a price of $ 100, 10 televisions are sold.

We must write a linear equation for this situation.

The equation of the line will have the following form

[tex]p = mx + b[/tex]

Where m is the slope of the line and b is the intercept with the p axis

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{100-150}{10-5}=-10[/tex]

[tex]b=p_1-mx_1\\\\b=150-(-10)(5)\\\\b=200[/tex]

The equation is:

[tex]p = -10x + 200[/tex]

Now we know that the revenue m is the product of the price p for the quantity sold x.

[tex]m = p * x[/tex]

[tex]m=(-10x + 200)*x[/tex]

[tex]m = -10x^2 +200x[/tex]

Answer:

[tex]p=-10x+200[/tex]

[tex]m = -10x^2+200x[/tex]

Step-by-step explanation:

Given : An electronics store discovers that it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day.

To Find: Write a linear equation to compare the price of a television, p, to the number sold, x. Then write a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x.

Solution:

Let p be the price and x be the no. of television sold

We are given that  it can sell 5 televisions per day by pricing them at $150. When the televisions are on sale for $100 the store sells 10 of them every day. i.e(5,150) and (10,100)

Now to find the linear equation to compare the price of a television, p, to the number sold, x.

We will use two point slope form

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(5,150)[/tex]

[tex](x_2,y_2)=(10,100)[/tex]

Substitute the values in the formula

[tex]y-150=\frac{100-150}{10-5}(x-5)[/tex]

[tex]y-150=\frac{-50}{5}(x-5)[/tex]

[tex]y-150=-10(x-5)[/tex]

[tex]y-150=-10x+50[/tex]

[tex]y=-10x+50+150[/tex]

[tex]y=-10x+200[/tex]

x is the no. of television sold

y is the price

Since p denotes the price

So,  [tex]p=-10x+200[/tex]

Thus a linear equation to compare the price of a television, p, to the number sold, x is   [tex]p=-10x+200[/tex]

Now [tex]Revenue = Cost \times quantity[/tex]

Since price of x telivisons = [tex]p=-10x+200[/tex]

So,  [tex]Revenue = (-10x+200) \times x[/tex]

[tex]Revenue = -10x^2+200x[/tex]

m denotes revenue

So,[tex]m = -10x^2+200x[/tex]

Thus a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is [tex]m = -10x^2+200x[/tex]

Hence a linear equation to compare the price of a television, p, to the number sold, x is   [tex]p=-10x+200[/tex] and a quadratic equation to compare the revenue, m, from selling televisions to the number sold, x. is [tex]m = -10x^2+200x[/tex]

Helpppp!BASIC MATHhhh

Answers

How much we need for start-up supplies . . . . . $25

AFTER start-up supplies we want to have . . . $70

Total amount we need to get started . . . (25 + 70) = $95

Number of people contributing . . . (me + 4) = 5

Amount each person needs to kick in . . . (95/5) = $19

As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !

what is 6(2y+8)-2(3y-2)

Answers

The answer is 6y + 52.

first, distribute.

6 • 2y = 12y

6 • 8 = 48

this would equal

12y + 48

then do the same for the other part

2 • 3y = 6y

2 • 2 = 4

this would equal

6y + 4

put them all into one.

12y + 48 - 6y + 4

combine the like terms..

12y - 6y = 6y

48 + 4 = 52

the final answer would be 6y + 52

The trainers you bought came in a cuboid shaped box. Which of the following is a net of a cuboid?

Answers

Here's what a net of a cuboid looks like if that was what you were asking.

Final answer:

The question involves identifying a net for a cuboid, which is a two-dimensional arrangement of rectangles that can be folded into a three-dimensional box shape.

Explanation:

The subject of the question is identifying a net of a cuboid. A net is a two-dimensional shape that can be folded to form a three-dimensional object. In the case of a cuboid, its net consists of 6 rectangles that correspond to the faces of the cuboid: top, bottom, front, back, and two sides. To create a net, you would draw these 6 rectangles in such an arrangement that when the edges are folded up, they would form the sides of a cuboid. The question requires understanding of basic geometry and how two-dimensional shapes can construct three-dimensional forms.

Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the form a(n)=b*c^n-1, determine the value of b and c.

Answers

B is -5 and C is -2. Since -5 is the first number, a(1) is bc^0 and that would make c = 1. B would need to be -5. In the second number, since we know b is -5, c would need to be -2 and anything to the 2-1 is just the same value.

Going to the movies costs $9.50 per person. What is the slope of the line that models this situation, if x represents the number of people and y represents the total cost?

Answers

Answer:

The slope is 9.5

The equation is y = 9.5x

Step-by-step explanation:

The equation is in the form of y = mx + b, where m represents the slope.

 In the case of our situation, y = 9.5x , b = 0 and m = 9.5

9.5 is the slope because that is the rate of change as x increases per ticket sale

The slope of the line that models this situation will be 9.5.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Heading out to the films costs $9.50 per individual.

Let 'x' be the number of people and 'y' be the total cost. Then the equation is given as,

y = 9.5x

The slope of the line that models this situation will be 9.5.

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What word is synonymous for take-home pay

Answers

Answer:

net pay

Step-by-step explanation:

"Net" refers to what you get to keep after taxes or any fees,

"Gross" is your total before taxes and fees

Answer: Take-Home Pay is the money a person has after paying off all the things that are forced, like taxes.

Step-by-step explanation: There is none. It's English.

Which of these is an example of an employer using benefits to encourage employees to stay with their company

Answers

Answer:

maybe convince them for a higher pay rate

Step-by-step explanation:

Eddie had a favorable simple annual interest rate on a used car loan, but he can’t remember what it was. His paperwork shows that he originally borrowed S4000 and paid a total of $1280 in interest on the 4-year loan. What was Eddie’s annual interest rate?

Answers

Answer: 8%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

A bank teller notices that an account was overdrawn and had a balance that can be represented by –$324. The account holder then deposited 3 checks for $150 each and made 4 withdrawals of $20 each. The teller used the steps below to find the new balance for the account. Step 1 Start: –$324 Deposits: $150 each Withdrawals: –$20 each Step 2 –324 + 3(150) + 4(–20) Step 3 –324 + 450 – 80 = 46 Step 4 The account is overdrawn by $46.

Answers

Final answer:

The problem is a basic mathematical exercise involving negative and positive numbers related to bank transactions. The original balance is overdrawn and represented as a negative number, and then deposits and withdrawals are added and subtracted respectively to find the new balance which still ends up overdrawn.

Explanation:

The problem given is about mathematical operations and bank transactions. The subject here is a subtraction and addition problem involving negative and positive numbers. The initial account balance represented as '––$324' shows an overdrawn account and is a negative number. Then, the account holder deposited checks, which is a positive value represented by '3(150)', and each deposit is $150 making it a total deposit of $450. Then, the account holder made withdrawals represented by '4(–20)', each withdrawal of $20 thereby making a total withdrawal of $80. Therefore, to find the new balance of the account, the calculation should be as follows: '–324 + 3(150) – 4(20) -> –324 + 450 – 80', which equals 46, indicating that the account is overdrawn by $46.

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(___)^2=(secx-1)(secx+1)
Answer:____

Answers

Answer:

tan

Step-by-step explanation:

                                                                (secx - 1)(secx + 1)

Remove parentheses                          = sec²x - 1

Use the identity: tan²x  + 1 = sec²x     = tan²x + 1 - 1

                                                             = tan²x

tan²x = (secx - 1)(secx + 1)

Answer:  The required answer is tan x.

Step-by-step explanation:  We are given to complete the following trigonometric identity :

[tex](\_\_\_\_\_)^2=(\sec x-1)(\sec x+1).[/tex]

We will be using the following identity from trigonometry to complete the given identity :

[tex]1+\tan^2\theta=\sec^2\theta\\\\\Rightarrow \sec^2\theta-1=\tan^2\theta~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Now, we have

[tex](\sec x-1)(\sec x+1)\\\\=\sec^2x-1\\\\=\tan^2x~~~~~~~~~~[\textup{from equation (i)}]\\\\=(\tan x)^2.[/tex]

Thus, the complete identity is

[tex](\tan x)^2=(\sec x-1)(\sec x+1).[/tex]

Thus, the required answer is tan x.

1/8x=1/4 what is the value x that makes the equation true

Answers

Answer:

x = 2

How?:

1/4 ÷ 1/8 = 0,25

0.25 as a fraction is 1/4

1/8 × 2 = 1/4

If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone

Answers

Answer:

[tex]20.11\ cm[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is equal to

[tex]SA=\pi r^{2}+\pi rl[/tex]

where

r is the radius

l is the slant height

In this problem we have

[tex]SA=822.78\ cm^{2}[/tex]

[tex]r=18/2=9\ cm[/tex] -----> the radius is half the diameter

substitute and solve for l

[tex]822.78=\pi (9)^{2}+\pi (9)l[/tex]

[tex]822.78=81\pi +9\pi l[/tex]

[tex]l=(822.78-81\pi)/9\pi[/tex]

[tex]l=(822.78-81(3.14))/9(3.14)=20.11\ cm[/tex]

The slant height of the cone is approximately 20.1154 cm.

[tex]\[ \text{Surface Area} = \pi r (l + r) \][/tex]

where r is the radius of the base of the cone, and l is the slant height of the cone.

Given that the diameter of the cone is 18 cm, we can find the radius r by dividing the diameter by 2:

[tex]\[ r = \frac{diameter}{2} = \frac{18 \text{ cm}}{2} = 9 \text{ cm} \][/tex]

Now we can substitute the values we know into the surface area formula:

[tex]\[ 822.78 \text{ cm}^2 = \pi \times 9 \text{ cm} \times (l + 9 \text{ cm}) \][/tex]

To find l, we need to solve for l in the equation:

[tex]\[ 822.78 \text{ cm}^2 = 9 \pi \text{ cm} \times (l + 9 \text{ cm}) \] \[ \frac{822.78 \text{ cm}^2}{9 \pi \text{ cm}} = l + 9 \text{ cm} \] \[ \frac{822.78}{9 \pi} = l + 9 \] \[ l = \frac{822.78}{9 \pi} - 9 \][/tex]

Now we calculate the value of l:

[tex]\[ l = \frac{822.78}{9 \times \pi} - 9 \] \[ l = \frac{822.78}{28.27433388} - 9 \] \[ l \approx 29.1154 - 9 \] \[ l \approx 20.1154 \text{ cm} \][/tex]

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