Answer:
They are length, thickness and temperature
Claire spins two spinners, each divided into equal sections labeled 1-8.
What is the probability that Claire spins a sum of 8? State what strategy you will use to answer the question, explain your choice, and then find the answer.
The probability that Claire spinning an 8 is around 0.078, or 7.8%.
How to calculate the favorable outcomes?We may use the strategy of calculating favorable results over total outcomes to get the likelihood that Claire spins a sum of 8. We must specifically determine how many possibilities there are to reach a sum of 8 when spinning the two spinners and divide that number by the total number of possible outcomes.
To illustrate, we can use a table to display all of the possible results for spinning two spinners labeled 1-8, and then compute the sum of each outcome:
There are 64 possible outcomes (8 spinners 1 choice times 8 spinner 2 choices), and we can see that there are 5 methods to reach a sum of 8: (2,6), (3,5), (4,4), (5,3), and (6,2). As a result, the likelihood of getting an 8 is:
P(sum of 8) = number of favorable outcomes / total number of outcomes
= 5 / 64
= 0.078125
So the likelihood of Claire spinning an 8 is around 0.078, or 7.8%.
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Jason is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Jason made a total of 13 shots altogether and scored a total of 20 points. Write a system of equations that could be used to determine the number of free throws Jason made and the number of two point shots he made. Define the variables that you use to write the system..
The system of equations that could be used to determine the number of free throws Jason made and the number of two point shots he made are: x + y = 13 and 1x + 2y = 20
How to answer the aforementioned questionsLet x be the number of free throws Jason made and y be the number of two-point shots he made.
Then, we can write a system of equations based on the given information:
x + y = 13 (total number of shots made)
1x + 2y = 20 (total number of points scored)
The first equation shows Jason's total number of shots, which include both free throws and two-point attempts.
The second equation indicates Jason's total amount of points, taking into account that two-point shots are worth twice as much as free throws.
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Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).
The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and 0.118 for men who asked for promotion and received.under the condition that from the men interviewed 20% had asked for a promotion and 59% of the men who had asked for a promotion and received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20
P(man received promotion, given he asked for one)
= 59/100
= 0.59
P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.
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graph the relation {(5,0), (0,5), (5,1), (1,5)}. Is it a function? Why or Why not?
The relation {(5,0), (0,5), (5,1), (1,5)} is not a function because some inputs have multiple outputs.
To graph the relation {(5,0), (0,5), (5,1), (1,5)}, we can plot the points on a coordinate plane and connect them to form a scatter plot.
The graph of this relation looks like two intersecting lines that form an "X" shape, where the points (5,0) and (0,5) are on one line and the points (5,1) and (1,5) are on the other line.
Now, to determine whether this relation is a function or not, we need to check if each input (x-value) is associated with exactly one output (y-value).
Looking at the points, we see that both x=5 and y=5 have multiple outputs: (5,0) and (5,1) for x=5, and (0,5) and (1,5) for y=5. This means that the relation is not a function, as there are multiple y-values associated with a single x-value, violating the definition of a function.
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if the height of a cone is halved , how will this change the volume of a cone?
if the height of a cylinder is tripled, how will this change the volume of the cylinder?
(explain answer)
The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
The volume of a cone is a third of the volume of a cylinder, hence:
V = πr²h/3.
For both cases, the height variable h has an exponent of one, hence:
If the height of a cone is halved, the volume of the cone is halved.If the height of a cylinder is tripled, the volume of the cylinder is tripled.If we had doubled the radius for example, the volume would be multiplied by 2² = 4, as the radius is squared.
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On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
Mary used her bike to ride the first mile.
Mary stopped and waited for the traffic light to turn green.
Mary walked her bike across the avenue and up a short hill.
Mary rode her bike at a constant speed for one mile.
The part of the graph that would show no change in distance is when Mary stopped and waited for the traffic light to turn green.
Statement B is correct.
How do we calculate?We know that during this time, Mary did not move forward or cover any distance. Hence, the graph would show a flat line at this point, indicating no change in distance.
Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are.
In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
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The box plots summarize the attendance for the spring musical and the fall musical. Each musical was performed for six evenings. Which statement best describes the data represented in the box plots?
The statement that best describes the data represented in the box plots is option B.
What is box plot?A box plot, also known as a box-and-whisker plot, is a graphical representation of a set of numerical data through their quartiles. It is useful for visualizing the distribution of data and identifying outliers.
The box in the plot represents the interquartile range (IQR), which is the range between the first and third quartiles (Q1 and Q3), and the line inside the box represents the median (Q2).
The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60
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18 Two vans leave a campground at the
same time. One is traveling north at a
speed that is 10 miles per hour faster
than the other, which is traveling south.
After 2.5 hours, the vans are 255 miles
apart. What is the speed in miles per hour
of the van traveling south?
F 56
G 46
H 66
J 36
The speed of the van traveling south is 46 miles per hour. The correct option is (G) 46.
To solve this problemLet's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.
We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:
Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles
Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:
Distance traveled by the van traveling south = x × 2.5 = 2.5x
Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25
Substituting these expressions into the equation above, we get:
2.5x + 2.5x + 25 = 255
Simplifying this equation, we get
5x + 25 = 255
Subtracting 25 from both sides, we get:
5x = 230
Dividing both sides by 5, we get:
x = 46
Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.
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4 thumb drives and 1 compact disk have a total capacity of 18 gigabytes. 3 compact disks and 4 thumb drives have a total capacity of 22 gigabytes. Find the capacity of 1 thumb drive (x) and the capacity of 1 compact disk (y)
The capacity of 1 thumb drive is 4 gigabytes and the capacity of 1 compact disk is 2 gigabytes.
What is the capacity of 1 thumb drive and 1 compact disk?The first step is to form the system of equations that represent the information in the question:
4x + y = 18 equation 1
4x + 3y = 22 equation 2
The elimination method would be used to determined the required values.
Subtract equation 1 from equation 2
2y = 4
y = 4/2
y = 2
Substitute for y in equation 1: 4x + 2 = 18
4x = 18 - 2
4x = 16
x = 16/4
x = 4
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How many times can 3.6 go into 80
Answer:
22.2
Step-by-step explanation:
Answer:
3.6 can go into 80 22 times.
Step-by-step explanation:
The highest point of a normal curve occurs at Group of answer choices the mean. two standard deviations to the right of the mean. approximately three standard deviations to the right of the mean. one standard deviation to the right of the mean.
The highest point of a normal curve, also known as a Gaussian distribution or bell curve, always occurs at the mean. This is because the normal curve is symmetrical around the mean, with the same number of values on either side of the mean. Therefore, the peak of the curve must be directly above the mean.
The standard deviation is a measure of how spread out the values in a distribution are. For a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations of the mean, and 99.7% fall within three standard deviations of the mean. Therefore, while the highest point of the normal curve occurs at the mean, the curve does extend out to both sides of the mean, with the height of the curve gradually decreasing as the distance from the mean increases.
Specifically, the point at which the curve begins to flatten out on either side of the peak is approximately one standard deviation away from the mean. At two standard deviations away from the mean, the curve has flattened out significantly, and at three standard deviations away from the mean, the curve is almost entirely flat. This is known as the empirical rule, or the 68-95-99.7 rule.
Understanding the normal curve and its characteristics is important in statistics and data analysis, as many real-world phenomena can be approximated using a normal distribution. By knowing the mean and standard deviation of a distribution, we can make predictions about the likelihood of various outcomes occurring.
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Point Q is the center of a circle passing through points A, B, C
The center will be on the line segment CA because, as we already know, a circle's diameter is a chord that passes through its center.
Therefore, the answers are CA and diameter.
How do we calculate?we have that in the question, a circle with center 'O' is passing through three A, B and C, where ∠B is a right angle.
In the circumscribed circle, we have the converse of the Thales' theorem, which states that -
if A, B, and C are distinct points on a circle where angle ∠ABC is a right-angle, then the line AC will be a diameter of the circle.
The given information is drawn in the attached figure.
Applying the converse of Thales' Theorem, we have AC will be a diameter of the circle.
As the longest side (hypotenuse) of a right-angled triangle is the opposite side of the right-angle, CA is the longest side of ABC.
The longest side of the triangle equals the diameter of the circle because CA is likewise a diameter of the circle.
Thus, the center will lie on the line segment CA and the longest side of the triangle is equal to the diameter of the circle.
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#complete question:
Point O is the center of a circle passing through points A, B, and C. ∠B is a right angle.
The center of the circumscribed circle lies on line segment, (options: AB,BC, or CA) and the longest side of the triangle is equal to the (options: radius, diameter, or circumference) of the circle.
From the cyclic quadrilateral, If ∠ADC=120° and AB is a diameter, then ∠BAC=30°
Correct option is A
Solving the cyclic quadrilateralGiven that: ∠ADC=120
∠ACB=90° (Diameter of the circle subtends an angle of 90°)
Consider cyclic quadrilateral ABCD:
∠ADC+∠ABC=180° (sum of opposite angles of a cyclic quadrilateral is 180°)
Thus, ∠ABC=180°−120°=60°
In △ABC:
∠BAC=180°−∠ACB−∠ABC .....(Sum of three angles of a triangle is 180°)
∠BAC=180°−90°−60°=30°
Answer: ∠BAC=30°
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Point Q is the centre of a circle passing through the points A, B, C and D taken in order. If ∠ADC=120° and AB is a diameter, then ∠BAC=
A 30°
B 40°
C 45°
D50°
Paul considers investing $8,000 in three different accounts for 6 years.
Option A: 5% simple interest
Option B: 4.5% interest compounded continuously
Option C: 4.75% interest compounded yearly
After 6 years, Option B, to the nearest dollar, will be worth
$
more than Option A and
$
less than Option C.
linearexponentialquadraticconstant
Option A is a
function while Options B and C are
functions. While the
function gains
value the fastest initially, over time the
functions will gain value faster.
Answer:
Step-by-step explanation:
Option A: 8,000(1+6(0.05))
is equal to 10,400
Option B is 10,479.72
Option C: 8,000(1+0.0475)^6
is equal to 10,568.52
making B about $80 more than A and $89 less than C
Which theme park would you choose for yourself and your friends? Explain why.
#3
Water slides are overrated and roller coasters are dangerous, id rather check out the vr
For the line y = 1 — 4x, create a table to show the values of x and y where x is from -2 to 2.
Answer:
Answers in the picture. Thanks
To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).
Explanation:
The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.
When x = -2, y = 1 - 4*(-2) = 1 + 8 = 9When x = -1, y = 1 - 4*(-1) = 1 + 4 = 5When x = 0, y = 1 - 4*0 = 1When x = 1, y = 1 - 4*1 = 1 - 4 = -3When x = 2, y = 1 - 4*2 = 1 - 8 = -7
So, the table representing these values would look like this:
x y
-2 9
-1 5
0 1
1 -3
2 -7
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On March 30, Century Television received an invoice dated March 28 from ACME Manufacturing for 51 televisions at a cost of $100 each. Century received a 8/5/5 chain discount. Shipping terms were FOB shipping point. ACME prepaid the $91 freight. Terms were 5/10 EOM. When Century received the goods, 3 sets were defective. Century returned these sets to ACME. On April 08, Century sent a $275 partial payment. Century will pay the balance on May 06. What is Century’s final payment on May 06? Assume no taxes
Century's final payment will be on May 06 is $4,028.
Total cost of televisions:
51 TVs at $100 each = $5,100
8% discount = $100 x 8% x 10 = $80
5% discount = $100 x 5% x 10 = $50
5% discount = $100 x 5% x 31 = $155
Total discount = $80 + $50 + $155 = $285
Cost after discount = $5,100 - $285 = $4,815
Shipping cost: no additional cost
Returned sets:
3 *$100 = $300
ACME will issue a credit to Century for $300
Total cost:
$4,815 + $0 - $300 = $4,515
Partial payment:
$275
Final payment:
Balance after partial payment = $4,515 - $275 = $4,240
5% discount if paid within 10 days after the end of the month = $4,240 x 5% = $212
Final payment on May 06 = $4,240 - $212 = $4,028
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a student performs an experiment where they flip a coin 3 times . if they perform this experiment 200 times, predict the number of repetitions the experiment that will results in exactly two of the three flips landing on tails
We can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is used to quantify the uncertainty associated with a particular event or outcome. In simpler terms, probability is a measure of the likelihood that a certain event will occur, expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.
There are different types of probability, including classical probability, empirical probability, and subjective probability. Classical probability is based on the assumption of equally likely outcomes, while empirical probability is based on actual observations or experiments. Subjective probability, on the other hand, is based on personal judgment or belief.
The probability of getting tails on any single flip of a fair coin is 1/2. Since we are flipping the coin three times, the probability of getting exactly two tails is given by the binomial probability formula:
P(exactly 2 tails) = (number of ways to get 2 tails out of 3) * (probability of getting tails)² * (probability of getting heads)¹
The number of ways to get 2 tails out of 3 is given by the binomial coefficient "3 choose 2", which is 3. So we have:
P(exactly 2 tails) = 3 * (1/2)² * (1/2)¹ = 3/8
This means that the probability of getting exactly 2 tails in one trial of flipping the coin 3 times is 3/8.
To predict the number of repetitions out of 200 that will result in exactly 2 tails, we can multiply the probability of getting exactly 2 tails in one trial by the total number of trials:
Number of repetitions with exactly 2 tails = P(exactly 2 tails) * total number of trials
Number of repetitions with exactly 2 tails = (3/8) * 200
Number of repetitions with exactly 2 tails = 75
Therefore, we can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
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How many teaspoons are there in 6 milliliters?
Hint: 1mL≈0.2tsp
Round your answer to the nearest tenth.
Answer:
1.2 tsp
Step-by-step explanation:
6x0.2=1.2
There are 6 mL,and if each mL is 0.2tsp, then you have to multiply.
You want to make a rectangular banner that is 16 feet long. You have no more than 50 feet of trim for the banner. What are the possible widths of the banner?
Answer:
So, the possible width of the banner would be 9 feet or less, since we have assumed a maximum total trim of 50 feet. If the width exceeds 9 feet, the total trim required would exceed the available trim of 50 feet. Therefore, the possible widths of the banner are 9 feet or less.
Step-by-step explanation:
Given:
Length of the banner (L) = 16 feet
Total trim available (T) = 50 feet
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (Length + Width)
In this case, the perimeter of the banner would be equal to the total trim available, since the trim goes all the way around the banner.
So, we can set up the equation as follows:
2 * (L + w) = T
Plugging in the given values:
2 * (16 + w) = 50
Simplifying the equation:
32 + 2w = 50
2w = 50 - 32
2w = 18
w = 18 / 2
w = 9
8,643 rounded to the nearest hundred
Answer:
Step-by-step explanation:
8600
Answer:
8,600
Step-by-step explanation:
"nearest hundred", meaning 643 and since the tens place is under 50 it is closer to 600 then 700 making it 8,600
Select the acceptable conclusions to a hypothesis test. a The value of the test statistic lies in the nonrejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. b The value of the test statistic does not lie in the rejection region. Therefore, we accept the null hypothesis. c The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true. d The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. e The value of the test statistic does not lie in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is true. f The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
The acceptable conclusions to a hypothesis test are option a, c, d, f.
What is hypothesis test?
Hypothesis Testing is a way of statistical analysis in which a person can put his assumptions about a population parameter to the test. It usually used to estimate the relationship between two statistical variables.
By the property of hypothesis test the following can be stated.
⇒The value of the test statistic lies in the non rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true.
⇒The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
Hence the correct options are a, c, d, f.
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Find the area of an equilateral triangle with a perimeter of 45 inches.
The area of the equilateral triangle is approximately 58.78 square inches.
An equilateral triangle has all sides equal, so we can divide the perimeter by 3 :
45 inches ÷ 3 = 15 inches
Therefore, each side of the equilateral triangle measures 15 inches.
Area = (√3 / 4) x (side length)²
After putting the values,
Area = (√3 / 4) x 15 x 15 square inches
Area = (√3 / 4) x 225 square inches
Area = 58.78 square inches
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Mendel is back at it with another genetics experiment. This time he needs to partition a
rectangular garden into 4 parts by constructing three additional fences parallel to one of the
sides, in addition to fencing the perimeter. What is the minimum amount of fencing (in
meters) he will need to enclose 2500 m2?
The minimum amount of fencing Mendel will need to enclose 2500 m² = 317 meters
Let's assume that x represents the length of and y represents the width of the rectangular garden.
Using the formula for tha area of rectangle, the area of the garden would be,
A = length × width
A = xy
Here, A = 2500 m²
so, 2500 = xy
⇒ y = 2500/x
Using the formula for the perimeter of the rectangle, the perimeter of the garden would be,
P = 2x + 2y
But a rectangular garden is partitioned into 4 parts by constructing three additional fences parallel to one of the side.
So, the perimeter would be,
P = 2x + 5y
sides, in addition to fencing the perimeter.
P = 2x + 5(2500/x)
P = 2x + (12500/x)
Consider the derivative of P(x) with respect to x.
P'(x) = 2 - 12500/x²
To find the minimum value consider P'(x) = 0
2 - 12500/x² = 0
2 = 12500/x²
x² = 12500/2
x² = 6250
x = 79.05 m
and y = 2500/79.05
y = 31.63 m
So, the minimum amount of fencing would be,
P = 2x + 5y
P = 2(79.05) + 5( 31.63 )
P = 316.25 meters
P ≈ 317 meters
The minimum amount of fencing need to enclose 2500 m² = 316.25 meters
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|4x-4(x+1)|=4
put all answers for x on number line
In the bottom, To see the number line of |4x-4(x+1)|=4.
Absolute Value:The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
The expression is:
|4x-4(x+1)|=4
First simplify in the absolute value
Distribute
|4x−4x-4|=4
|-4|=4
Taking the absolute value
4 =4
This is always true
X is all real numbers
Pick any value for x and it will be a true statement
Put the value of x=0
|4*0−4(*0+1)|=4
|-4|=4
Let taking a value of x = 5
|4*5−4(5+1)|=4
|20−24|=4
|−4|=4
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BUNGEE JUMPING Trevor is bungee jumping off of a bridge into a canyon that is 400 feet deep. Trevor's bungee cord is 9 feet more than ten times the distance between Trevor and the bottom of the canyon at the end of his jump. If Trevor is 6 feet tall and the bungee cord is attached to his feet, what will be his height above the bottom of the canyon at the end of his jump? Measure the height from Trevor's head to the bottom of the canyon.
The height above the bottom of the canyon at the end of his jump is 385 feet.
we have,
Canyon depth = 400 feet
Trevor's height= 6 feet
cord length = 9 feet
So, Trevor height to end of jump is
= 400 - (9+6)
= 400 - 15
= 385 feet
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The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The answer is "The IQR is the best measure of variability, and it equals 7. because the best measure of variability for the data is the IQR, and its value is 7
What is the linear function?A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
According to the given information:The given plot displays the distribution of the number of roses purchased per day at a grocery store. The best measure of variability for this data would be the interquartile range (IQR) since it is robust to outliers and provides a measure of the spread of the middle 50% of the data.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data, and Q3 is the median of the upper half of the data.
From the plot, we can see that there are a total of 11 data points: one at 1, two at 2, three at 6, three at 7, two at 8, and three at 9. The median (Q2) is 7 since it is the middle value when the data are arranged in order.
To find Q1, we need to find the median of the lower half of the data. Since there is one data point below 6 and three data points at 6, the lower half of the data consists of four points: 1, 2, 6, and 6. The median of this set is (1+2)/2 = 1.5.
To find Q3, we need to find the median of the upper half of the data. Since there are two data points at 8 and three data points at 9, the upper half of the data consists of five points: 8, 8, 9, 9, and 9. The median of this set is (8+9)/2 = 8.5.
Therefore, the IQR is Q3-Q1 = 8.5-1.5 = 7.
Therefore, the answer is "The IQR is the best measure of variability, and it equals 7. because the best measure of variability for the data is the IQR, and its value is 7
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4⁄5 x + 15 = 3⁄10 x + 21
Answer:
x = 12
Step-by-step explanation:
If you're bored of solving equations the normal way, why not try this fun and easy method? Just follow these simple steps:
Subtract 3/10 x from both sides to eliminate the x term on the right side. This is like getting rid of the annoying person who always sits next to you in class.
4/5 x - 3/10 x + 15 = 21
Simplify the left side by finding the common denominator and combining the fractions. This is like putting all your candy in one bag and eating it faster.
(8/10 - 3/10) x + 15 = 21
5/10 x + 15 = 21
Subtract 15 from both sides to isolate the x term on the left side. This is like taking away your allowance and making you do chores.
5/10 x = 21 - 15
5/10 x = 6
Multiply both sides by 10/5 to solve for x. This is like giving you a magic wand that makes everything easier.
(10/5) (5/10) x = (10/5) (6)
x = 12
This is the solution of the equation. You can check it by plugging it back into the original equation and verifying that both sides are equal. Or you can just trust me
✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧
recently, mario's tantrums seem to last longer. which data recording procedure might be the best one to use to determine this? duration partial interval whole interval time sampling
Answer: Time sampling
Step-by-step explanation:
It would be time sampling to see how long his tantrums are lasting and by keeping samples it should show you how long most tantrums will last.
I did this so i promise its right! give brainliest or rate and like please
a rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 720 feet of fencing is used. find the dimensions of the playground that will enclose the greatest total area.
Can i please have help with this
Answer:
linear
Step-by-step explanation:
its linear because the data shows a straight line:)
Answer:
Linear
Step-by-step explanation:
linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.