Answers
Answer: Area = 144 π cm²
Step-by-step explanation:
We can use this formula to find the area of a circle:
➜ r is equal to the radius, also known as half the width of a circle.
A = πr²
We will substitute our known values and solve for C by multiplying. Since the answer option includes π in our units, we do not multiply this into the 144.
A = πr²
A = π(12)²
A = 144 π cm²
Related Questions
Describe how you would design the selection of subjects for this study. Assume there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 in each region. About half of the representatives in each region were assigned the training, and half were not. Be sure to also describe any processes you would include in your study to contribute to the best design possible.
Answers
The desired sample size is half of the representatives in each region, so 250 from the Midwest and 250 from the Northeast.
A stratified random sample would be the most appropriate sampling method.
The two subgroups should be the Midwest and Northeast regions. Within each region, a random sample of 250 should be selected.
What is Stratified random sampling?Stratified random sampling involves dividing the population into separate subgroups based on certain criteria, and then randomly selecting a sample from each subgroup.
When designing the selection of subjects for a study, it is important to consider the size of the population, the desired sample size, and the sampling method.
The population size is 1,000 sales representatives in the Midwest and Northeast regions, with 500 in each region.
The desired sample size is half of the representatives in each region, so 250 from the Midwest and 250 from the Northeast.
A stratified random sample would be the most appropriate sampling method.
The two subgroups should be the Midwest and Northeast regions. Within each region, a random sample of 250 should be selected. This will ensure that the sample accurately represents the population of 1,000 representatives in both regions.
Finally, it is important to document the selection process used for the study. This includes providing a detailed description of the sampling method used, the criteria used to divide the sample into subgroups, and the number of individuals selected from each subgroup.
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Julian goes to a store an buys an item that costs � x dollars. He has a coupon for 20% off, and then a 4% tax is added to the discounted price. Write an expression in terms of � x that represents the total amount that Julian paid at the register.
Answers
Answer:
If Julian buys an item that costs £x, then the amount of discount he receives from the 20% off coupon is:
Discount = 0.2x
The discounted price that Julian pays after the coupon is applied is:
Price after discount = x - 0.2x = 0.8x
Next, a 4% tax is added to the discounted price, which can be calculated as:
Tax = 0.04(0.8x) = 0.032x
Therefore, the total amount that Julian paid at the register can be expressed in terms of £x as:
Total amount = Price after discount + Tax
Total amount = 0.8x + 0.032x
Total amount = 0.832x
So, the expression in terms of £x that represents the total amount that Julian paid at the register is 0.832x.
Help with algebra 2 homework
Answers
a) The inverse function is given as follows: [tex]r = \sqrt{\frac{3v}{40\pi}}[/tex]
b) The radius of the cone with a volume of 4190 cubic inches is given as follows: r = 10 inches.
How to obtain the inverse function?The function for this problem is defined as follows:
v(r) = 40/3πr²
We want to find the radius as a function of the volume for the inverse function, hence:
[tex]r^2 = \frac{3v}{40\pi}[/tex]
[tex]r = \sqrt{\frac{3v}{40\pi}}[/tex]
Then the radius of the cone with a volume of 4190 cubic inches is given as follows:
[tex]r = \sqrt{\frac{3 \times 4190}{40\pi}}[/tex]
r = 10 inches.
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0. 07 and the probability that the flight will be delayed is 0. 16. The probability that it will not rain and the flight will leave on time is 0. 83. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth. How would you figure this out?
Answers
The probability that it is raining and the flight is delayed is equal to the probability of it raining multiplied by the probability of the flight being delayed.
Therefore, the probability that it is raining and the flight is delayed is 0.07 * 0.16 = 0.0112. Rounded to the nearest thousandth, this is 0.011.
Find all of the cube roots of 216i and write the answers in rectangular (standard) form.
Answers
The cube roots of 216 written in the rectangular (standard) form are 3 + 3√3, -3+3√3, and 6.
What is a cube root?In mathematics, the cube root formula is used to represent any number as its cube root, for example, any number x will have the cube root 3x = x1/3. For instance, 5 is the cube root of 125 as 5 5 5 equals 125.
3√216 = 3√(2x2x2)x(3x3x3)
= 2 x 3 = 6
the prime factors are represented as cubes by grouping them into pairs of three. As a result, the necessary number, which is 216's cube root, is 6.
Therefore, the cube roots of 216 are 3 + 3√3, -3+3√3, and 6.
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If each book is 5$ and I have 133$ then how many books can I buy?
Answers
Answer:
26
Step-by-step explanation:
You just divide 133 and 5 and you get 26.6
Answer:
26
Step-by-step explanation:
[tex]\frac{133}{5}[/tex] = 26.6
You cannot buy part of a book, so you can buy 26 books
26 x 5 = 130. You will have $3.00 left over.
Helping in the name of Jesus.
identify a unit of measure that serves as a conversion factor between linear and angular measurements.
Answers
One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).
A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.
Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors
1 radian = 180/π degrees (approx. 57.3 degrees)
1 degree = π/180 radians (approx. 0.01745 radians)
These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.
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the quality control manager at a computer manufacturing company believes that the mean life of a computer is 80 months, with a variance of 64 . if he is correct, what is the probability that the mean of a sample of 77 computers would be greater than 82.59 months? round your answer to four decimal places.
Answers
The probability that the mean of a sample of 77 computers would be greater than 82.59 months, assuming the population mean is 80 months and the variance is 64, is approximately 0.0606
The situation described can be modeled using a normal distribution, with a mean of 80 months and a standard deviation of the square root of the variance, which is 8 months (since variance = standard deviation squared).
To find the probability that the mean of a sample of 77 computers would be greater than 82.59 months, we need to standardize the sample mean using the formula
z = (x - μ) / (σ / √n)
where
x is the sample mean
μ is the population mean (believed to be 80 months)
σ is the population standard deviation (8 months)
n is the sample size (77)
Plugging in the values, we get
z = (82.59 - 80) / (8 / √77) ≈ 1.55
To find the probability of a z-score being greater than 1.55, we can use a standard normal distribution table or calculator. From the table, we find that the probability of z being greater than 1.55 is approximately 0.0606.
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Help please? I just need an answer. A clear explanation earns brainliest. this is a repost since i posted the wrong photo last time.
Answers
Answer: x^2+2x-7/x-1
two of the people do not like each other and do not want to sit side-by-side. now how many ways can the seven be seated together in a row? incorrect: your answer is incorrect.
Answers
In a group of seven people are attending the movies together. The number of possible ways for the seven be seated together in a row with two do not want to sit side-by-side are equal to the 4320.
Combinations : it is defined as the total number of possible arrangements of objects without think about the order. We have a group of seven people are attending the movies together. We have to determine the number of ways can the seven be seated together in a row, with conditions. Now, total number of people in group = 7 , so total number of possible arrangements = 7!
If two of seven insists on side-by-side, then total possible arrangements to seat in a row = 6! ( possible pairs = 3 in 7 people)
If two of the people do not like each other and want to sit side-by-side, then the possible arrangements to seat in a row = 6!
So, number of ways of arrengement seven persons in a row when two do not like each other and do not sit side-by-side = total possible arrangements - arrangements when sear together = 7! - 6!
= 6!( 7 - 1) = 6( 6!)
= 4320
Hence, required value is 4320.
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Complete question:
A group of seven people are attending the movies together. Refer to this solution to answer the following questions. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the seven be seated together in a row?
Michael drove to the mountains last weekend. There was heavy traffic on the way there at the trip took six hours. When Michael drove home there was no traffic and the trip only took four hours. If his average rate was 22 mph faster on the trip home how far away does Michael live from the mountains?
Answers
If his average rate was 22 mph faster on the trip home, then Michael lives 132 miles away from the mountains.
Let's assume that the distance from Michael's home to the mountains is "d" miles. We can now use the formula for average rate to set up two equations, one for the trip to the mountains and one for the trip back home.
For the trip to the mountains, we have:
d = Average Rate (on the way to the mountains) x 6 hours
For the trip back home, we have:
d = Average Rate (on the way back home) x 4 hours
We are also given that Michael's average rate on the trip back home was 22 mph faster than his average rate on the trip to the mountains. We can represent this as:
Average Rate (on the way back home) = Average Rate (on the way to the mountains) + 22 mph
First, we can rearrange the equation for the trip to the mountains to solve for the average rate on the way to the mountains:
Average Rate (on the way to the mountains) = d / 6 hours
Substituting this into the equation for the trip back home, we get:
d = (d / 6) x 4 + (d / 6 + 22) x 4
Simplifying this equation, we get:
d = (2d / 3) + (d / 3 + 11) x 4
d = (2d / 3) + (4d / 3 + 44)
Multiplying through by 3, we get:
3d = 2d + 4d + 132
Simplifying this equation, we get:
d = 132 miles
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FINANCE Rawan deposits $13,000 into an account that pays 2.6% annual interest
compounded every 6 months.
a. Write a function to represent the balance A in the account after t years.
b. What will be the balance after 4 years?
c. What will be the balance after 7.5 years?
Answers
a) Required function is [tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]
b) The balance after 4 years is $15,182.51.
c)The balance after 7.5 years is $16,802.59
a. What is the function represent the balance A in the account after t years?
The function to represent the balance A in the account after t years can be given by:
[tex]A(t) = P \times (1 + \frac{r}{n})^{(nt)}[/tex]
where P is the principal amount (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = $13,000, r = 2.6%, n = 2 (interest is compounded every 6 months), and t is the time in years.
Substituting these values into the formula,
[tex]A(t) = 13,000 \times (1 + \frac{ 0.026}{2})^{(2t)}[/tex]
Simplifying the expression,
[tex]A(t) = 13,000 \times (1.013)^{2t}[/tex]
b. To find the balance after 4 years, we can substitute t = 4 into the formula we derived above:
[tex]A(4) = 13,000 \times (1.013)^{(2 \times 4)} \\ = 13,000 \times (1.013)^8 \\ = 15,182.51[/tex]
Therefore, the balance after 4 years is $15,182.51.
c. To find the balance after 7.5 years, we can substitute t = 7.5 into the formula we derived above:
A(t) = 13,000 × (1.013)¹⁵ = 16,802.59
Therefore, the balance after 7.5 years is $16,802.59.
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Simplify (3x3y2 − 5xy4 − 2xy) + (2x3y2 + 5xy4 + 3xy).
5x3y2 − 2xy4 + xy
5x3y2 − 2xy4 − 5xy
5x3y2 + xy
5x3y2 − xy
Answers
The terms that have the same variables raised to the same powers are:
3x^3y^2 and 2x^3y^2, which add up to 5x^3y^2
-5xy^4 and 5xy^4, which cancel each other out
-2xy and 3xy, which add up to xy
Putting these like terms together, we get:
(3x^3y^2 - 5xy^4 - 2xy) + (2x^3y^2 + 5xy^4 + 3xy) = 5x^3y^2 + xy
Therefore, the simplified expression is 5x^3y^2 + xy.
Answer:
the first one: 5x3y2 - 2xy4 +xy
Step-by-step explanation:
hope it helps :)
If triangle PQR is has a right angle at Q and m<R is 45°, what is the length of PR is PQ is 3?
1. 3
2. 2
3. 2√3
4. 3√2
Answers
The length of PR of the triangle is 3√2 units
How to determine the length of PR?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The triangle PQR can be drawn as shown in the attached image. Thus, we can say:
sin 45° = 3/PR (sine = opposite/hypotenuse)
1/√2 = 3/PR (Remember: sin 45° = 1/√2)
PR = 3 * √2
PR = 3√2 units
Thus, the length of PR is 3√2 units
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Pavarti made mixed juice from similar bottles of strawberry juice and mango
juice. She filled a jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. Pavarti then drank 3/8 of a bottle of the mixed juice. Find the amount of mixed juice that was left in the jug.
Answers
The amount of mixed juice that was left in the jug is 5/4 of a bottle
Word Problem calculationPavarti used 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice, so the total amount of mixed juice is:
7/8 + 3/4 = 14/16 + 12/16 = 26/16 = 13/8
So, Pavarti had 13/8 of mixed juice in the jug.
Pavarti then drank 3/8 of a bottle of the mixed juice, so the amount of mixed juice left in the jug is:
13/8 - 3/8 = 10/8 = 5/4
Therefore, the amount of mixed juice that was left in the jug is 5/4 of a bottle.
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The amount of mixed juice left in the jug is 5/4 (or 1 1/4).
How find the amount of mixed juice left in the jug?A fraction is a numerical quantity that represents a part or parts of a whole.
Since Pavarti filled the jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. The total amount of mixed juice will be:
amount of mixed juice = 7/8 + 3/4
= 13/8
She then drank 3/8 of a bottle of the mixed juice. That is subtraction.
Thus, the amount of mixed juice left in the jug will be:
mixed juice left = 13/8 - 3/8
= 10/8
= 5/4
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Pierre received a parking ticket with an original fee of $22. Each month that he failed to make payment, fees of $7 were added. By the time he paid the ticket, his bill was $36. What was the ratio of fees to the cost of the ticket?
Answers
Answer: 7:11
Step-by-step explanation:
The amount of time it would take you to go from Chicago to Las Vegas is equal to 1525 miles divided by your average rate of travel. Which equation describes how the time and rate of travel are related?
Answers
The equation that relates time and rate of travel is time = distance / rate, so for the given scenario, the equation would be time = 1525 miles / rate.
The equation that relates time and rate of travel is:
time = distance / rate
Where:
time is the time taken to travel the distance
distance is the distance between two places (in this case, from Chicago to Las Vegas)
rate is the rate of travel (the average speed)
So, for this specific case, the equation would be:
time = 1525 miles / rate
where rate is the average speed at which you travel from Chicago to Las Vegas.
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The minimum graph of the equation y = j(x) is (- 1, - 2) What is the minimum point on the graph of the equation y = f(x) + 7 ?
Answers
Answer:
We don't have enough information to answer this question because we don't know the relationship between the functions f(x) and j(x). The fact that the minimum graph of y = j(x) is (-1,-2) only tells us about the behavior of j(x), not f(x).
If we had more information about the relationship between the two functions, we might be able to use the fact that the minimum graph of y = j(x) is (-1,-2) to make some inferences about the minimum point on the graph of y = f(x) + 7. However, without additional information, we cannot provide a specific answer to this question.
Ariel wants to join the volleyball team in the fall, so she went to an overnight volleyball camp last weekend to practice her skills. Before she left, she packed a shower caddy shaped like a rectangular prism with a volume of 420 cubic inches. The caddy is 10
1
2
inches long and 5 inches tall.
How wide is the shower caddy?
Answers
The width of the shower caddy is 8 inches.
What is Volume?
Volume is a measure of the total amount of material that an object contains. In mathematical terms, volume is calculated by multiplying the length, width, and height of an object.
We can use the formula for the volume of a rectangular prism, which is V = lwh, where l is the length, w is the width, and h is the height.
We know that the volume of the caddy is 420 cubic inches, the length is 10.5 inches, and the height is 5 inches. Let's substitute these values into the formula and solve for the width:
420 = 10.5w × 5
Divide both sides by 52.5:
8 = w
Therefore, the width of the shower caddy is 8 inches.
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what is the volume of a pyramid?
Answers
Answer:
Step-by-step explanation:
Let's recall the formula for the volume of a pyramid:
[tex]V=\frac{lwh}{3}[/tex]
Where l=length, w=width, and h=height.
We know that the height is 8 ft., the length is 10 ft., and the width is 6 ft.
Let's substitute the values, like so:
Can someone help me asap? It’s due today. I will give brainliest if it’s correct.
Answers
The simulation that represents the context is given as follows:
2,5, 8 of diamonds: gold plastic ring.3, 6, 9 of diamonds: silver plastic ring.4, 7, 10 of diamonds: black plastic ring.How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
In the context of this problem, we have an equal number of gold rings, silver rings and black rins, thus each outcome should have the same probability, which is represented by the last option.
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In the accompanying diagram, m<A=32° and AC = 10. Which equation could be used to find x in ∆ABC?
1. x=10 sin [32°]
2. x=10 cos [32°]
3. x = 10 tan [32°]
4. x=10/cos32
Answers
The equation x = 10 tan (32°) could be used to find x in ∆ABC.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) , cos (x) and tan (x) , where:
[tex]sin(x)=\frac{opposite\ side}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ side}{hypotenuse}\\ \\ tan(x)=\frac{sin(x)}{cos(x)} =\frac{opposite\ side}{adjacent\ side}[/tex]
The question gives the value of the two sides and the value of an angle. From the trigonometric ratios presented before, you can write:
[tex]tan(32)=\frac{opposite\ side}{adjacent\ side}=\frac{x}{10} \\ \\ x=10\ tan (32\°)[/tex]
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slove y=6x-20 y=2x+4
Answers
-2x + y = 4 -6x + y = -20 Solve by Substitution : // Solve equation [2] for the variable y [2] y = 6x - 20 // Plug this in for variable y in equation [1] [1] (6x-20) - 2x = 4 [1] 4x = 24
Trig word problems (need done ASAP)
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 27 feet up. The ladder makes an angle of 62° with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answers
the length of the ladder is approximately 54.01 feet.We can use trigonometric ratios to solve this problem
what is trigonometric ratios ?
Trigonometric ratios are mathematical functions used to relate the angles and sides of a right triangle. In a right triangle, there are three sides: the hypotenuse (the longest side, opposite the right angle), the opposite side (opposite to the angle we are interested in), and the adjacent side
In the given question,
We can use trigonometric ratios to solve this problem. Let's label the ladder as the hypotenuse of a right triangle, the height of the electric box as the opposite side, and the distance from the base of the ladder to the house as the adjacent side. Then we have:
sin(62°) = opposite/hypotenuse
cos(62°) = adjacent/hypotenuse
We know the height of the electric box is 27 feet, and we want to find the length of the ladder (the hypotenuse). Let's use the cosine ratio to solve for the hypotenuse:
cos(62°) = adjacent/hypotenuse
hypotenuse = adjacent/cos(62°)
Now we need to find the adjacent side. We know the height of the electric box is the opposite side, and we can use the tangent ratio to find the adjacent side:
tan(62°) = opposite/adjacent
adjacent = opposite/tan(62°)
opposite = 27 feet
Substituting in the values, we get:
adjacent = 27/tan(62°) ≈ 24.39 feet
Then we can find the hypotenuse:
hypotenuse = adjacent/cos(62°) ≈ 54.01 feet
Therefore, the length of the ladder is approximately 54.01 feet.
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Johnny woke up at 7:58 A.M. He brushed his teeth, ate breakfast, and got dressed. He was finished at 8:48 A.M. How long did it take Johnny to get ready for school?
Answers
To arrive at this answer, we can subtract the time he woke up from the time he finished getting ready:
8:48 AM - 7:58 AM = 50 minutes
the flour joanna busy comes in 5 pound bags. one cup of flour weights about 3/10 pound. howe many cups are in each bag of flour? show your work.
Answers
, each 5-pound bag of flour contains about 16 and 2/3 cups of flour.
To find out how many cups are in each 5-pound bag of flour, we need to first figure out how many cups are in 1 pound of flour.
We know that 1 cup of flour weighs about 3/10 pounds. So, to find out how many cups are in 1 pound, we can divide 1 by 3/10:
1 ÷ (3/10) = 10/3 or 3.33 cups
Therefore, there are approximately 3.33 cups of flour in 1 pound.
Now, to find out how many cups are in a 5-pound bag of flour, we can multiply 3.33 by 5:
3.33 x 5 = 16.65 or about 16 and 2/3 cups
So, each 5-pound bag of flour contains about 16 and 2/3 cups of flour.
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There are 50/3 cups of flour in each 5-pound bag of flour Joanna buys. This is approximately 16.67 cups.
To find out how many cups are in each 5-pound bag of flour Joanna buys, we need to divide the weight of the flour
bag by the weight of one cup of flour.
The weight of one bag of flour: 5 pounds
The weight of one cup of flour: 3/10 pound
Divide the weight of the flour bag by the weight of one cup of flour:
5 pounds ÷ (3/10 pound)
To divide by a fraction, we can multiply by its reciprocal.
The reciprocal of 3/10 is 10/3. So, multiply 5 by 10/3:
5 × (10/3)
Multiply the numerators (5 and 10) and the denominators (1 and 3):
(5 × 10) / (1 × 3) = 50 / 3
So, there are 50/3 cups of flour in each 5-pound bag of flour Joanna buys. This is approximately 16.67 cups.
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An initial investment of $5000 doubles in value in 6. 3 years. Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent
Answers
The interest rate is approximately 10.95%, rounded to the nearest tenth of a percent.
Continuous compounding is given by the formula:
[tex]$A = Pe^{rt}$[/tex]
where:
A = final amount
P = initial amount
r = interest rate
t = time in years
We know that the initial investment P is $5000, and the final amount A is $10,000 (since the investment doubles in value). The time t is 6.3 years. We can solve for r as follows:
[tex]$A = Pe^{rt}$[/tex]
[tex]$10,000 = 5000e^{r(6.3)}$[/tex]
Divide both sides by 5000:
[tex]$2 = e^{r(6.3)}$[/tex]
Take the natural logarithm of both sides:
[tex]$\ln(2) = r(6.3)$[/tex]
Divide both sides by 6.3:
[tex]$r = \frac{\ln(2)}{6.3}$[/tex]
Using a calculator, we get:
[tex]$r \approx 0.1095$[/tex]
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Find the length of each segment.
8. ST
Answers
The length of the segment [tex]\overline{ST}[/tex], obtained using Thales Theorem is 18 2/3
What is Thales Theorem?Thales Theorem, also known as the triangle proportionality theorem states that if a segment is drawn such that it is parallel to a side of a triangle, and it also intersects the other two sides of the triangle at distinct points, than the other two sides are divided by the segment in the same ratio
Thales Theorem, also known as the triangle proportionality theorem indicates;
12/14 = 16/[tex]\overline{ST}[/tex]
Therefore;
[tex]\overline{ST}[/tex]/16 = 14/12
[tex]\overline{ST}[/tex] = 16 × 14/12 = 56/3 = 18 2/3
Segment [tex]\overline{ST}[/tex] is 18 2/3 units long
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PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answers
Answer: 64 sqaure centimetres.
Step-by-step explanation:
- Surface area means the area of all exterior sides of a 3D dimensional shape. This means we'll have to find the area of every face and then add them all together.
Top and Bottom
4 x 4 = 16
16 x 2 = 32
Both faces are the same so once we find the area of one, we can just double it.
North, South, East and West Side
4 x 2 = 8
8 x 4 = 32
All four remaining faces had the same dimensions, meaning that once you found one, you just had to multiply that answer by 4.
To find the overall surface area add all the areas you have.
32 + 32 = 64
or
16 +_16 + 8 + 8 + 8 + 8 = 64
What is the range of this data set?
Length in Roses length in cm 22cm 23cm 24cm 25cm 26cm Number of roses 2 4 5 3 1
Answers
In this case, the minimum value is 22 cm (the shortest rose length) and the maximum value is 26 cm (the longest rose length).
Therefore, the range of the data set is:
Maximum value - Minimum value = 26 cm - 22 cm = 4 cm
So, the range of the data set is 4 cm.
