The median score, which represents the middle value of the dataset, can be identified by the line inside the box.
The IQR is represented by the length of the box in the box plot.
Based on the provided box plot for the sixth grade math test, we can infer the following information about the distribution's center, variability, and spread:
1. Center: The median score, which represents the middle value of the dataset, can be identified by the line inside the box. This value divides the data into two equal halves and helps to understand the central tendency of the scores.
2. Variability: The Interquartile Range (IQR) represents the variability in the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
The IQR is represented by the length of the box in the box plot and indicates how scores are dispersed around the median.
3. Spread: The range of the dataset can be identified by the distance between the minimum and maximum scores, represented by the whiskers in the box plot.
This shows the overall spread of the scores and indicates the extent of variation within the class.
By analyzing these aspects of the box plot, we can better understand the distribution of math test scores in the sixth grade class.
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This box plot shows scores on a recent math test in a sixth grade class. Identify at least three things that you can infer from the box plot about the distribution’s center, variability, and spread.
If the scatter plot has a negative association, which statement is TRUE about the line of best fit? b>0, b<0, m>0, m<0
Answer:
The answer is m<0
Step-by-step explanation:
It’s right
Write 2/8 in simplified form
Answer:
1/4
Step-by-step explanation:
because you basically divided by two on
Answer:
1/4 is the answer mark me brainliest
Can someone please help me and please no links
Answer:
Step-by-step explanation:
A d d?
Answer:
A≈ 65ft 2
Step-by-step explanation:
6th graders has 5 hours of homework per week.
7th graders has 7 hours of homework per week.
9th graders has 12 hours of homework per week.
10th graders has 15 hours of homework per week.
What is the 5th graders expected hours of homework per week?
What is the 8th graders expected hours of homework per week?
Describe the correlation between hours of homework per week and grade level.
Answer:
The given data suggests that there is a positive correlation - as grade level increases, so does the expected hours of homework.
Step-by-step explanation:
It is difficult to accurately predict the expected hours of homework for 5th and 8th graders based on the given data. However, we can try to make an estimate by assuming a linear correlation between grade level and hours of homework.
Using the given data, we can plot a scatter plot with grade level on the x-axis and hours of homework on the y-axis. We can then draw a line of best fit through the data points to estimate the correlation.
Assuming a linear correlation, we can use the slope-intercept form of a line to calculate the expected hours of homework for 5th and 8th graders. The equation of the line of best fit is:
y = 2.5x - 6.5
where y is the expected hours of homework per week and x is the grade level. Using this equation, we can estimate that the expected hours of homework per week for 5th graders would be:
y = 2.5(5) - 6.5 = 6 hours
And the expected hours of homework per week for 8th graders would be:
y = 2.5(8) - 6.5 = 16 hours
It is important to note that this is just an estimate based on the given data, and actual hours of homework may vary depending on the school and curriculum.
As for the correlation between grade level and hours of homework per week, the given data suggests that there is a positive correlation - as grade level increases, so does the expected hours of homework. This is likely due to the increasing complexity and workload of the curriculum as students progress through school. However, it is important for schools to ensure that the amount of homework assigned is reasonable and does not cause undue stress or negatively impact students' well-being.
Answer the questions below to find the total surface area of the can.
The total surface area of the can is 61.23 square inches
The total surface area of can S = 2πr(r+h)
where:
h is the height
r is the radius
A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth.
Given
h = 5in
r = 1.5in
S = 2(3.14)(1.5)(1.5 + 5)
S = 6.28(1.5)(6.5)
S = 61.23 square inches
Hence the total surface area of the can is 61.23 square inches
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yo help me out. thanks
Answer:
Im not sure what you're supposed to solve but if you need to find what m = then its 110
Micah is investigating phase shifts of the parent sine function, y = sin x. He wants to map the sine function onto itself. Part A. Write an equation of a function that has an identical graph but includes a phase shift. Part B. Write an equation that will map the parent sine function onto itself by shifting the parent function to the right. Part C. What do the equations in part (a) and part (b) tell you about the period of the sine function?. Part D. How many equations can you write to map the parent sine function onto itself? Explain.
Part A: It can be written as y = sin(x - c), where c represents the amount of phase shift. Part B: We can use the equation y = sin(x - a), where a represents the amount of rightward shift. Part C: The period is the distance between corresponding points on the graph, such as two peaks or two troughs. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself.
1. Part A: To introduce a phase shift to the parent sine function y = sin(x), we subtract a constant value c from the input variable x. The equation y = sin(x - c) has an identical graph to the parent sine function, but it is shifted horizontally by an amount of c units to the right or left. The value of c determines the amount of phase shift, where a positive value shifts the graph to the right, and a negative value shifts it to the left.
2. Part B: To map the parent sine function onto itself by shifting it to the right, we can use the equation y = sin(x - a), where a represents the amount of rightward shift. By subtracting a constant value a from the input variable x, the graph is shifted a units to the right while maintaining the same shape.
3. Part C: The equations in parts A and B indicate that the period of the sine function remains the same. The period of the sine function is the distance between corresponding points on the graph, such as two peaks or two troughs. Introducing a phase shift or rightward shift does not alter the period; it only changes the starting point or position of the graph.
4. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself. By combining different values of phase shifts and rightward shifts, we can obtain various equations. The sine function is periodic, meaning it repeats itself indefinitely. Any combination of phase shift and rightward shift will result in the same graph repeating after a specific interval, which is the period of the sine function. Therefore, there is no limit to the number of equations that can be written to achieve this mapping.
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Solve the equation, show all your work: 3x - 12 = 15
Answer:
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 3x - 12 = 15
Now the value of x will be,
→ 3x - 12 = 15
→ 3x = 15 + 12
→ x = 27/3
→ [ x = 9 ]
Hence, the value of x is 9.
Which one is greater1.22 or 1.02
Answer:
1.22 is greater
Step-by-step explanation:
everything after the decimal point is still the same as if it was a regular number. It's like comparing 22 and 02.
You can do 1.22-1.02 without getting a negative number
But when you do 1.02-1.22 the answer is -0.2.
I hope I could help!
A patient describes having vivid dreams to the nurse. The nurse understands that these occur during which stage of sleep?
a. Rapid eye movement (REM) sleep
b. Stage 2 nonrapid eye movement sleep
c. Stage 3 nonrapid eye movement sleep
d. Stage 4 nonrapid eye movement sleep
Option a is the correct answer. The patient's description of vivid dreams is most likely occurring during rapid eye movement (REM) sleep.
During fast eye development (REM) rest, the mind is exceptionally dynamic, yet the muscles are loose, bringing about the trademark quick eye developments that give this stage its name. It is during REM rest that most dreaming happens. These fantasies will generally be clear, close to home, and frequently strange, and can be serious to such an extent that they might awaken the sleeper. Interestingly, during non-REM rest, the mind is less dynamic, and dreams are ordinarily less striking and vital. The way that the patient depicted clear dreams is serious areas of strength for a that they were in REM rest, as opposed to one of the non-REM stages.
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Ivory created a scaled copy of rectangle A.
The area of Ivory’s scaled copy is 38 square units.
What scale factor did Ivory use to create their scaled copy?
The scale factor that Ivory used to create their scaled copy is;
Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.
From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervalsNow, from the image, we are told that the area of the scaled copy is 48 square units.What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.
Now, if one interval of the graph is x-units, then it means;length; y-axis = 3x units
width; x-axis = x units
Area of a rectangle is given by;Area = Length × width
Thus;
3x * x = 48
3x² = 48
x² = 48/3
x² = 16
x = √16
x = 4
Thus, 1 interval on the graph represents 4 units of the rectangle.
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What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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unit 10 circles homework 9 standard form of a circle all things algebra
1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
\((x-h)^2+(y-k)^2=r^2\)
Here (h,k) is the center of the circle and (r) is the radius of the circle.
For the first problem,
\(x^2+(y+2)^2=64\)
Rewrite the equation to make it the equation of circle as,
\((x-0)^2+(y-(-2))^2=8^2\)
Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.
Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.
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Am what I’m writing is correct? I put 2+-2=0
The diagram ends at -2
The equation would be 2-4 = -2
Answer:
Step-by-step explanation:
Start on point 2
Ends on point -2
Then:
2 + a = -2
a = -2 - 2
a = -4
then the equation is:
2 + (-4) = 0
2 - 4 = 0
Change 120 km/h into km/min.
Answer:
Step-by-step explanation:
2 because in a hour there is 60 minutes so you just divide 120 by 6 and you get 2 km per minute
the attendance for a basketball team declined at a rate of 5% per game throughout a losing season. 15 games were played in the season and 23,500 people were at the first game. how many people were at game 7?
At Game 7, the attendance for the basketball team had declined by 5% x 6 games = 30% and This means that the attendance at Game 7 was 23,500 x (1 - 0.3) = 16,450 people.
The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. This means that for every game, the attendance dropped by 5% in comparison to the attendance of the game before it.
15 games were played in the season and 23,500 people were at the first game. To calculate the attendance at Game 7, we first need to calculate the total amount that the attendance had declined by by the 7th game.
This can be done by multiplying the rate of decline (5%) by the number of games that had passed (6 games). This gives us a total decline of 30%. We then need to calculate the attendance at Game 7 by subtracting the total decline from the initial attendance.
This can be done by multiplying the initial attendance (23,500) by (1 - 0.3), which gives us 16,450 people. Therefore, the attendance at Game 7 was 16,450 people.
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Urgent help I need it right now!!!!
Answer:
\(\boxed{\sf 30 \ bean \ cans}\)
Step-by-step explanation:
The ratio of bean cans to corn cans is 6 : 7
Given that Corn cans = 35
Let the bean can be x
So,
The proportion for it will be:
6 : 7 = x : 35
Product of Means = Product of Extremes
7 * x = 6 * 35
7x = 210
Dividing both sides by 7
x = 30
So, 30 bean cans have to be put on the table to hold the needed ratio
In the diagram below, transversal t intersects parallel lines I and m.
What is the value of x?
Step-by-step explanation:
x+10=116
x=116-110
=106
x=106
someone help me with this pls
Based on the points of lines A and B, the gradient of Line A is 2 and the gradient of Line B is -1.
How to find the gradient?The formula for the gradient is;
= (y₂ - y₁) / (x₂ - x₁)
Two points on Line A:
(1, 3) and (2, 5)
Gradient of line A:
= (5 - 3) / (2 - 1)
= 2 / 1
= 2
Two points on Line B:
(1, 4) and (2, 3)
The gradient of Line B:
= (3 - 4) / (2 - 1)
= -1 / 1
= -1
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You deposit $150 into an account that yields 2% interest compounded quarterly. how much money will you have after 5 years?
Answer:
2 divided by 100 multiply 150
jack's age next year will be twice jill's age last year. their present ages total 45. how old is each no
We get the age of Jack is 29 years and the age of Jill is 16 years.
We are given that the sum of Jack's age and Jill's age is 45 years.
Let Jack's age be x.
Let Jill's age be y.
x + y = 45
x = 45 - y
Now, we are also given that jack's age next year will be twice Jill's age last year.
Jack's age next year = x + 1
Jill's age last year = y - 1
ATQ, We get the equation as:
x + 1 = 2( y - 1)
x + 1 = 2 y - 2
x = 2 y - 2 - 1
x = 2 y - 3
We get that:
45 - y = 2 y - 3
2 y + y = 45 + 3
3 y = 48
y = 48 / 3
y = 16 years.
x + y = 45
x + 16 = 45
x = 45 - 16
x = 29 years.
Therefore, we get the age of Jack is 29 years and the age of Jill is 16 years.
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Need rn! worth 30
Evaluate the function T(x)=19−x, when x=−3.
a.) 57
b.) 22
c.) 16
d.) −16
Answer:
b
Step-by-step explanation:
In ΔIJK, the measure of ∠K=90°, JI = 37, IK = 35, and KJ = 12. What ratio represents the tangent of ∠I?
The ratio representing the tangent of ∠I is approximately 1.057.
To find the tangent of angle ∠I in triangle ΔIJK, we can use the ratio of the length of the side opposite angle ∠I (JI) to the length of the side adjacent to angle ∠I (IK).
Tangent (tan) is defined as the ratio of the opposite side to the adjacent side in a right triangle.
In this case, JI is the opposite side of angle ∠I, and IK is the adjacent side.
Therefore, the tangent of ∠I can be calculated as:
Tangent of ∠I = \(\frac{JI }{IK}\)
Plugging in the given values, we have:
Tangent of ∠I \(=\frac{37}{35}\)
Simplifying this fraction, we get:
Tangent of ∠I \(\approx 1.057\)
Therefore, the ratio representing the tangent of ∠I is approximately 1.057.
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Choose a linear function for the line represented by the point-slope equation y – 5 = 3(x – 2).
The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.
The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),
we can see that the slope of the line is 3 and it passes through the point (2, 5).
To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).
To get the equation in slope-intercept form, we need to isolate y on one side of the equation.
We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2) y - 5 = 3x - 6 y = 3x - 6 + 5 y = 3x - 1
Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.
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What is the exact value of cos(195°)?
√5-VE
zata
o VB+ve
√5
4
A
31-19-
- √5-WE
ziten
Answer:
- \(\frac{\sqrt{2+\sqrt{3} } }{2}\)
Step-by-step explanation:
using the half angle formula
cos(\(\frac{x}{2}\) ) = ± \(\sqrt{\frac{1+cosx}{2} }\)
cos195° = cos(180 + 15)° = - cos15°
then
cos15° = cos (\(\frac{30}{2}\) ) = \(\sqrt{\frac{1+cos30}{2} }\) = \(\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }\) = \(\sqrt{\frac{2+\sqrt{3} }{4} }\) = \(\frac{\sqrt{2+\sqrt{3} } }{2}\)
then
cos195° = - cos15° = - \(\frac{\sqrt{2+\sqrt{3} } }{2}\)
time-use data show that married american women have cut their housework time roughly in half over the last half-century, while men have:
Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.
This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.
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3 0 0 6
1 8 1 8
0 8 1 ?
7 5 2 4
puzzle level : Advanced
find the question mark
Solve only if you have a valid logic,
Posting this second time
Answer = 6
The answer to the given puzzle is 6. The answer to the missing number is calculated by multiplying the first number of each column by 2 and adding 3 to it.
To solve this puzzle, we need to find the pattern of numbers being used in each column of the given numbers. We need to apply the same pattern to find the missing number. The first step is to identify the pattern being followed in each column. If we look at the first column, we see that the first number (3) is multiplied by 2, and then 3 is added to the answer. Therefore, the answer is ((3 x 2) + 3) = 9. Now, if we look at the second column, the first number (0) is multiplied by 2, and then 3 is added to the answer. Therefore, the answer is ((0 x 2) + 3) = 3. Similarly, we can find that the pattern of each column follows the same sequence and hence can be used to find the answer for the missing number. The third column has a missing number and is represented by a question mark. Therefore, we need to apply the pattern used in the third column to find the missing number. We know that the first number (1) is multiplied by 2, and then 3 is added to the answer. Therefore, the answer is ((1 x 2) + 3) = 5. Hence, the missing number in the third column is 6.
Therefore, the answer to the given puzzle is 6. The solution is based on a pattern that is being used in each column of the given numbers. We can apply the same pattern to find the missing number, which is represented by a question mark. The answer to the missing number is calculated by multiplying the first number of each column by 2 and adding 3 to it.
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2a – 6 (a – 4) = -4
Can I solve this?
Answer:
-4
Step-by-step explanation:
Answer:
A=7
Step-by-step explanation:
2a-6a+24=-4
simplify
-4a+24=-4
subtract 24 from both sides
-4a=-28
divide both sides by -4
a = 28/4
simplify 28/4 to 7
a=7
what is the volume of this cone
Answer:
160/3π
Step-by-step explanation:
π ·r² · h/3
π · 4² · 10/3
π · 16 · 10/3
= 160/3 π