Answer:
There are three steps to find IQR
1. Know how the IQR is used. Essentially, it is a way of understanding the spread or "dispersion" of a set of numbers. The interquartile range is defined as the difference between the upper quartile (the highest 25%) and the lower quartile (the lowest 25%) of a data set.
2. Understand quartiles. To visualize a quartile, chop a list of numbers into four equal parts. Each of these parts is a "quartile."[2] Consider the set: 1, 2, 3, 4, 5, 6, 7, 8.
1 and 2 are the first quartile, or Q1
3 and 4 are the second quartile, or Q2
5 and 6 are the third quartile, or Q3
7 and 8 are the fourth quartile, or Q4
3. Learn the formula. In order to find the difference between the upper and lower quartile, you'll need to subtract the 25th percentile from the 75th percentile.
The formula is written as: Q3 – Q1 = IQR.
Answer:
the answer would be 2.5
Explanation:
The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).
a.
2 • (3(5 + 2) - 1)
Step-by-step explanation:
2(3(7)-1)
= 2(21-1)
=2(20)
=40
1. You decide to buy a guitar for $1257. With tax the total comes to $1357.56. You'll have to charge it on your credit card. If your monthly Interest rate is 1.7%, and you make a payment of $150 per month, what will your new balance be by the end of the 3rd month? Fill in the
chart below completely. Each box should be filled.
Here's the complete chart:
Month Balance Interest Payment New Balance
0 $1,357.56 - - $1,357.56
1 $1,383.54 $23.98 $150 $1,257.52
2 $1,409.62 $26.08 $150 $1,266.06
3 $1,435.81 $27.19 $150 $1,473.61
What is percent?Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.
Here,
To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:
B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]
where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.
In this case, we have:
B(0) = $1357.56
r = 1.7% per month = 0.017
PMT = $150
n = 3 months
Plugging these values into the formula, we get:
B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]
= $1473.61
Therefore, the new balance by the end of the 3rd month is $1473.61.
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For equal intervals, _____ functions have equal factors.
Answers:
Cubic
Exponential
Linear
Quadratic
Answer:
exponential. not linear functions because they change by equal differences not intervals.
4 peaches cost 1.28. how much would it be for 10
Answer:
$3.20
Step-by-step explanation:
If 4 peaches cost 1.28, then 1 peach would cost $1.28/4, or $0.32. Now that we know how much 1 peach cost, we can multiply that by 10 to get $0.32*10, which is $3.20.
Multiply. Enter the product in simplest form.
3/5 x 2/3=
The tape diagram represents an equation.
y
y
7
Write an equation to represe
Answer:
x + y = 7 an equation to represe.
What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?
A. x = 0
B. y = x
C. y = 0
D. x = 1
Answer:
b
Step-by-step explanation:
Answer: D: y = 0
Step-by-step explanation: Hope that helped
need help
Determine when a simple 2x2 system of linear equations has no solutions.
If m = -5 or m = 3, the system of linear equations has no solution.
To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:
| 3 m |
| m+2 5 |
The determinant is
= (3 x 5) - (m x (m+2))
= 15 - m^2 - 2m
= -(m^2 + 2m - 15)
= -(m+5)(m-3)
So, for the system to have no solution, the determinant must be zero, so we have:
-(m+5)(m-3) = 0
This gives us two values of m: m = -5 and m = 3.
Thus, if m = -5 or m = 3, the system of linear equations has no solution.
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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
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Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
Maximum: x = -0.3.Minimum: x = 2.3.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
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Evaluate the function for
f(x) = x + 3 and g(x) = x^2 − 2.
(f + g)(−8) =
What is the value of n in the equation below?
Power with the same base
The scatterplot shows the attendance at a pool for different daily high temperatures.
A graph titled pool attendance has temperature (degrees Fahrenheit) on the x-axis, and people (hundreds) on the y-axis. Points are at (72, 0.8), (75, 0.8), (77, 1.1), (82, 1.4), (87, 1.5), (90, 2.5), (92, 2.6), (95, 2.6), (96, 2.7). An orange point is at (86, 0.4).
Complete the statements based on the information provided.
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Answer:
✔ a strong positive
✔ weaken
✔ decrease
ED2021
Answer:
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Step-by-step explanation:
Sorting algorithms no unread replies.no replies. we are using and interacting with sorting algorithms in every day life. in your chapter reading this week, you reviewed many sorting algorithms. find an example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms covered in chapter 3. for example, while playing cards you may have found yourself implementing the insertion sort algorithm (without knowing it). for this peer interaction, post your example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms. be sure to provide your us with enough information so that we will thoroughly understand your example and use of a sorting algorithm. once you have made your post, please respond to at least two of your classmates interacting and communicating on the sorting algorithm use in real world context.
A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.
A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.
1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."
2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.
3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).
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Anyone willing to help on this worksheet?
Answer:
I am pretty sure it's #2 but wait for more ansawers because im not 100% sure.
Step-by-step explanation:
Answer:
Same I think it's B but I'm not entirely sure
Step-by-step explanation:
To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school
It takes Brian 1.5 hours to get home from school
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.
For Brian:
4 = d/t
d = 4t
For Scott:
6 = d / (t - 1/2)
d = 6t - 3
4t = 6t - 3
2t = 3
t = 1.5 hours
Therefore it takes Brian 1.5 hours to get home from school
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45,18,36 what isThe greatest number of boxes in each pack
Since the numbers of boxes are 45, 18, 36
Since we need to know the greatest number of boxes in each pack
Then we have to find the greatest common factor of 45, 18 and 36
Let us list the factors of each number
\(45=1\text{ }\times45,3\times15,5\times9\)Then the factors of 45 are: 1, 3, 5, 9, 15, 45
\(18=1\times18,2\times9,3\times6\)Then the factors of 18 are: 1, 2, 3, 6, 9, 18
\(36=1\times36,2\times18,3\times12,4\times9,6\times6\)Then the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
From the 3 lists, we can see the common factors of 45, 18, 36 are
1, 3, 9
Since the greatest factor is 9, then
The greatest number of boxes in each pack is 9
P(A)=0.45, P(A∩B)=0.15 and P(B\A)=0.25 what is the value of P(A\B)
0.45
0.25
0.35
None of the above
Answer:
0.35? That is correct?
A factory produced a batch of 12,000 microchips in one hour. A quality control manager
randomly selected 200 chips to test. She found that 8 chips are defective. How many
chips should she predict to be defective?
Answer:
480 chips
Step-by-step explanation:
12,000/200 = 60
60 x 8 = 480
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309. Adam reads that the average speed that cars drive on the highway is 65 mph. t equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator s over denominator square root of n end fraction end style end fraction The t-test statistic for a two-sided test would be __________. Answer choices are rounded to the hundredths place.
Answer:
The t-test statistic is \(t = -0.697\)
Step-by-step explanation:
The test statistic is:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation and n is the size of the sample.
The sample standard deviation is 7.309.
This means that \(\sigma = 7.309\)
Adam reads that the average speed that cars drive on the highway is 65 mph.
This means that \(\mu = 65\)
60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.
8 values, so \(n = 8\)
The sample mean is:
\(X = \frac{60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4}{8} = 63.2\)
Test statistic:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(t = \frac{63.2 - 65}{\frac{7.309}{\sqrt{8}}}\)
\(t = -0.697\)
The t-test statistic is \(t = -0.697\)
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
-3 < 0
True
False
anwser plz
Answer:
True
Step-by-step explanation:
Answer:True
Step-by-step explanation: -3 is less than 0
5
4
6
What is the area of the parallelogram?
Answer:
answer is 60
4×5×6/2.......
24/10 into hundredths
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths
Selena has a piece of ribbon that is 130 inches long. If she wants to make bracelets that are 9 inches long, how many inches of ribbon will be left over?
Answer:14 4/9
Step-by-step explanation:
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
The area of a rectangle is 13.02 square feet. The width is 4.2 feet. What is the length?
Answer:
\(\boxed{Length = 3.1 ft}\)
Step-by-step explanation:
Area of rectangle = Length * Width
For length, it'll be:
Length = Area/Width
Where Area = 12.02 ft^2, Width = 4.2 ft
Length = 13.02 / 4.2
Length = 3.1 ft
Answer:
\( \boxed{\sf Length \ of \ rectangle = 3.1 \: feet} \)
Given:
Area of rectangle = 13.02 square feet
Width of rectangle = 4.2 feet
To Find:
Length of rectangle
Step-by-step explanation:
\(\sf \implies Area \ of \ rectangle = Width \times Length \\ \\ \sf \implies 13.02 = 4.2 \times Length \\ \\ \sf \implies \frac{13.02}{4.2} = \frac{ \cancel{4.2}}{ \cancel{4.2}} \times Length \\ \\ \sf \implies \frac{13.02}{4.2} = Length \\ \\ \sf \implies Length = \frac{13.02}{4.2} \\ \\ \sf \implies Length = \frac{3.1 \times \cancel{4.2}}{ \cancel{4.2}} \\ \\ \sf \implies Length = 3.1 \: feet\)
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Find two numbers that sum to -6 and have a product of 12
The two numbers that sum to -6 and have a product of 12 are -3 ± √3i and -3 ± √3i respectively.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data simply refers to a type of data set consisting of numbers (numerals) rather than words.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let the two unknown numbers be x and y.
Translating the word problem into an algebraic equation, we have;
Sum: x + y = -6 .....equation 1.
Product: xy = 12 ....equation 2.
From equation 1, we have:
x = -6 - y
Substituting equation 3 into equation 2, we have:
(-6 - y)y = 12
-6y - y² = 12
y² + 6y + 12 = 0
Solving the quadratic equation, we have:
y = -3 ± √3i
For the value of x, we have:
x = -6 - y
x = -6 - (-3 ± √3i)
x = -6 + 3 ± √3i
x = -3 ± √3i
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