what measure of spread is LEAST by the long tail in the graph?
Answer:
IQR
Step-by-step explanation:
Interquartile range (IQR): it's the difference between the largest and smallest values in the middle 50% of a set of data. It is not affected by the long tail in the graph because its calculation only consider the central part of data.
Range: it’s the difference between the highest value and the lowest value in a data set. It is affected by long tails because consider the whole data
Median absolute deviation (MAD): it's the median of the absolute deviations from the data's median. It's moderate affected by long tails because atypical measures give greater absolute deviation that may cause a greater MAD.
write a expression showing the sum of 8 and a number f
Enter the explicit rule for the geometric sequence. 120, 40, 403, 409, 4027, ...
a(n)=
The explicit rule for the given geometric sequence is [tex]a(n) = 120 \times (1/3)^{n-1}[/tex].
A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.
For the given sequence: 120, 40, 40/3, 40/9, 40/27, ... let's determine the explicit rule.
Identify the first term, a:
The first term is 120.
Determine the common ratio, r:
The ratio of any term to the previous term is 40 / 120, which simplifies to 1/3.
Write the explicit rule:
The nth term of a geometric sequence is given by the formula:
[tex]a(n) = a \times r^{n-1}[/tex]
Here, a = 120 and r = 1/3, so the explicit rule is:
[tex]a(n) = 120 \times (1/3)^{n-1}[/tex]
Complete question:
Enter the explicit rule for the geometric sequence. 120, 40, 40 / 3, 40 / 9, 40 / 27, ...
a(n)=
The volume of the crate is 72 cubic feet but the length is 3ft the base is 6ft and the height is unknown
How to solve a linear equation
Step-by-step explanation:
Let's use this equation as an example - [tex]102=-7r+4[/tex]
The whole point of a linear equation is to find what the variable (which in our case is r ) equals to.
Our equation: [tex]102=-7r+4[/tex]
First step is to try to get r alone on one side.
First step: [tex]102-4=-7r[/tex] we wouldn't do [tex]102+4=-7r[/tex] (notice it's negative and not positive) since we're switching the positive 4 to the other side we'd switch the positive to a negative, making it [tex]102-4[/tex].
Know that everytime we switch a number or variable to the other side we must always switch the sign to the opposite of what it is. If it's dividing, we multiply, if we subtract, we add, etc. Same with the other way around.
Second step is to solve both sides of the equation.
Second step: [tex]98=-7r[/tex]
Third step is to divide the both sides by the number with the variable, making it 98 divided by -7r and -7r divided by -7
Third Step: [tex]\frac{98}{-7} =\frac{-7r}{-7}[/tex] = [tex]-14=r[/tex]
Now we've found our variable.
Answer: [tex]-14=r[/tex]
This graph shows the linear relationship between the time in seconds, x, for Caroline's walk and the distance in meters, y, Caroline is from her starting point. The graph passes through the point (20,30). According to the graph, how many meters will Caroline walk in exactly one hour?
Answer:
5400
Step-by-step explanation:
There are 3600 seconds in a hour.
y=1.5(3600)
y=5400
What is the most specific name for the quadrilateral on number #28?
The regular price of a Space Invader game is $52, but it’s on sale. The discount is $13. What percent discount is the Space Invader game?
identify each coefficient.
1. 8x _
2. 3m _
3. y_
4. 14t _
Please answer 2 3 4 and explain how you got your answer I will give brainliest must explain for all 3
rewrite the radical in exponential form
Which of the following are factors of 6x^2+30x-36?
A) x-1
B)x+2
C)2
D)3
E)x+6
F)x-6
G)x-2
What is the value of the expression |48÷(-6)|+|-35÷7|
A baseball team played 147 regular season games. The ratio of the number of games they won to the number of games they lost was four thirds 4/3. How many games did they win? How many games did they lose?
Final answer:
To find the number of games won and lost by the baseball team, use the given win to loss ratio of 4/3 and the total number of games played (147) to establish a system of equations and solve for the number of wins and losses. The team won 84 games and lost 63 games.
Explanation:
The student has asked how many games a baseball team won and lost given that they played 147 regular season games with a win to loss ratio of 4/3. To solve this, let w represent the number of games won and l represent the number of games lost. According to the ratio, we have w/l = 4/3. Because the total number of games is 147, we can express this as w + l = 147.
First, express the number of losses in terms of wins using the ratio: l = 3w/4.
Next, substitute l in the total games equation: w + 3w/4 = 147.
Solving for w gives w = 84 (number of games won).
To find l, substitute w back into l = 3w/4 to get l = 63 (number of games lost).
The baseball team won 84 games and lost 63 games.
BRAINLIEST ANSWER GETS 27 POINTS!!!!!!!
In a random sample of 160 high school students, 64% of the students participated in summer camp activities. The estimate had a margin of error of 2.5% at a 95% confidence level. Which of the following is a potential percentage of high school students who participated in summer camp activities.
A. 60%
B. 68%
C. 62%
D. 67%
A city has a population of 260,000 people. Suppose that each year the population grows by 5.5% . What will the population be after 8 years?
Demostrar que si las magnitudes de la suma y la diferencia de dos vectores son iguales, entonces los vectores son perpendiculares.
If n is divided by 7 the remainder is 3. What is the remainder if 3n is divided by 7?
Final answer:
If an integer n, when divided by 7, leaves a remainder of 3, then multiplying n by 3 and dividing by 7 will leave a remainder of 2.
Explanation:
Let's solve the problem where n when divided by 7 leaves a remainder of 3 and find the remainder when 3n is divided by 7. According to the information, if n divided by 7 leaves a remainder of 3, we can express n as 7k + 3 for some integer k.
To find the remainder when 3n is divided by 7, substitute 7k + 3 for n: 3n = 3(7k + 3) = 21k + 9. We can further simplify this to 21k + 7 + 2, or 7(3k + 1) + 2. Here, it's evident that when 21k + 9 (or similarly 7(3k+1)+2) is divided by 7, it leaves a remainder of 2.
Conplete the square to solve the quadratic equation. x
[tex]1 {x}^{2} - 6x + 12 = 2x + 20[/tex]
Answer:
[tex]\large\boxed{x=4\pm2\sqrt6}[/tex]
Step-by-step explanation:
[tex]x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6[/tex]
Final answer:
The quadratic equation x² - 6x + 12 = 2x + 20 is solved by completing the square, resulting in the solution x = 4 ± √24.
Explanation:
To solve the quadratic equation x² - 6x + 12 = 2x + 20 by completing the square, we first need to rearrange the equation to get 0 on one side. We do this by subtracting 2x and 20 from both sides, which gives us:
x² - 8x - 8 = 0
Next, we find the value to complete the square for the x terms. We take half of the coefficient of x, which is 8/2 = 4, and then square it, getting 4² = 16. We add 16 to both sides of the equation to form a perfect square on the left:
x² - 8x + 16 = 8 + 16
This simplifies to:
(x - 4)² = 24
To find the value of x, we take the square root of both sides:
x - 4 = ±√24
Finally, we solve for x:
x = 4 ± √24
What is the Value of -3r+8 when r=4?
-12
-4
4
12
Answer:
The answer is -4
Step-by-step explanation:
-3x4+8 =-4
30 for 48.30 or 32 for 49.60
what is the area of a circumference 37.7
The area of circle of circumference 37.7 is 112.76 .
What is area of circle?The area of a circle is pi times the radius squared (A = π r²)
where ,
A = Area of circle
r = radius of circle
What is circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
where ,
c = circumference of circle
r = radius of circle
According to question
Circumference = 37.7
2[tex]\pi r\\[/tex] = 37.7
[tex]\pi r[/tex] = 18.85
[tex]\frac{22}{7}r[/tex]=18.85 ([tex]\pi = 22/7[/tex])
r = 18.85 × [tex]\frac{7}{22}[/tex]
r = 5.99
Now area of circle = [tex]\pi r^{2}[/tex]
Area of circle = [tex]\frac{22}{7} * 5.99^{2}[/tex]
Area of circle = 112.76
Hence , the area of circle is 112.76 .
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Determine the better buy. 12 oz for $2.69 or 16 oz for $2.49?
Ray has $36 to buy masonry nails and finishing nails for his project. Masonry nails sell for $5.50 per box, and finishing nails cost $3.50 per box. Only full boxes are available for purchase. If Ray buys 3 boxes of masonry nails, what is the maximum number of boxes of finishing boxes he can buy?
Answer:
5 boxes
Step-by-step explanation:
Given that;
The total amount Ray has with him to buy masonary nails and finishing nails for his project is $36
If Masonry nails sell for $5.50 per box
Finishing nails cost $3.50 per box.
Now, Only full boxes are available for purchase.
If Ray buys 3 boxes of masonry nails
i.e 3 × $5.50 = $16.5
what is the maximum number of boxes of finishing boxes he can buy?
To determine the number of finishing nails boxes he can buy. we will subtract the expense spent on the prior 3 masonary nails from his total amount
i.e $36 - $16.5
= $19.5
Let's not forget that, only full boxes are available for purchase and not half or quarter.
SO since 1 finishing nail box cost $3.50
then let x finishing nail box cost $19.5
∴ (x) × $3.50 =1 × $19.5
(x) = [tex]\frac{1*19.5}{3.50}[/tex]
(x) = 5.57 boxes
Since full boxes are available for purchase then (x) ≅ 5 boxes, then Ray will be left with $2 at his pocket.
Therefore, the maximum number of boxes of finishing boxes he can buy is 5 boxes
The lines shown below are parallel. If the green line has a slope of -3/7, what is the slope of the red line?
For the given condition of lines to be parallel, slope of red line is same as green line which is equal to [tex]\frac{-3}{7}[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane with equal distance between them and do not intersect in the same plane."
What is the slope?" Slope is defined as the ratio of increment in the y-coordinates to the x-coordinates."
Condition of slope for two parallel lines
[tex]y = m_{1} x + c_{1}\\\\y = m_{2} x + c_{2}[/tex]
[tex]m_{1}[/tex] and [tex]m_{2}[/tex] represents the slope of parallel lines.
As slope of parallel lines always equal.
Therefore,
[tex]m_{1} = m_{2}[/tex]
According to the question,
Given,
The slope of the green line [tex]= \frac{-3}{7}[/tex]
Condition given,
Lines are parallel.
Using the condition of slope of parallel lines we have,
The slope of the parallel lines is always equal.
Therefore,
The slope of the red line [tex]= \frac{-3}{7}[/tex]
Hence, the slope of the red line [tex]= \frac{-3}{7}[/tex] as per the given lines is parallel.
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Aldo must choose a number between 55 and 101 that is a multiple of 3, 6, and 7.
Help with 8!!!!! Plz
Write the missing numbers to complete the pattern: 3, 6, 12 and so on
A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup
The markup is 60%.
Given that,
A merchant buys a television for $125 and sells it for a retail price of $200.
Based on the above information, the calculation is as follows:
[tex]= (\$200 - \$125)\div \$125[/tex]
= 60%
Therefore we can conclude that The markup is 60%.
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Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The one angle is 20 degrees. Then the other angle is given as,
x + 20° = 180°
x = 180° - 20°
x = 160°
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
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