What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data values. Labels are at zero, three, six, nine, and twelve. Tick marks are every one unit. Values appear as x marks above the line. Plot data values are one x mark above one, one x mark above two, two x marks above three, two x marks above four, three x marks above five, four x marks above six, three x marks above seven, three x marks above eight, two x marks above nine, and one x mark above eleven.
Answers
Then, we start by crossing off one value on each side of the data to work our way towards the middle. Once we come to the middle, we see that there are two values in the middle: 6 and 6.
To find the median when we have two values in the middle, we must add them, then divide by two.
6 + 6 = 12
12 ÷ 2 = 6
So, the median for this data set is 6.
The median is 6.
This median is easy to find-- you place all your numbers in numerical order and choose the number(s) in the middle-- for this question the median is 6.
I believe your line plot looks like this [Screenshot was taken on K12]:
Please forgive me if this is wrong, and please tell me the correct answer if this incorrect.
Related Questions
Factories and solve x^2 +x -12=0
Answers
____________________________________________________
The solutions are: " x = - 4 " and " x = 3 " .
____________________________________________________
Note:
____________________________________________________
Factors of "-12" that, when added up", equal " +1 " ;
→ { Note: Refer to: "+1x" .}.
- 4, 3 : -4 + 3 = -1
4, -3 : 4 + (-3) = 4 -3 = 1 . Yes!
_______________________________________________
So: " (x + 4)(x –3) = 0 " ; x = - 4, and x = 3 .
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Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.
(5√3)^x
Rewrite the expression in the form 2^u where u is an algebraic expression
(1/2)^x-3
Rewrite the expression in the form 2 Superscript u where u is an algebraic expression
9/3√3
Rewrite the expression in the form 2 Superscript u where u is an algebraic expression
16/3√2^x
Answers
Solution: (1) The expression [tex](5\sqrt{3} )^x[/tex] [tex]\text{ is written as }[/tex] [tex]5^x3^{\frac{x}{2}[/tex].
[tex](5\sqrt{3} )^x=5^x(\sqrt{3} )^x\\(5\sqrt{3} )^x=5^x(3^\frac{1}{2} )^x\\(5\sqrt{3} )^x=5^x3^\frac{x}{2}[/tex]
The value of u is [tex]\frac{x}{2}[/tex].
(2) The expression [tex](\frac{1}{2})^x-3[/tex] is written as [tex]2^{-x}-3[/tex].
[tex](\frac{1}{2})^x-3=(2^{-1})^x-3\\(\frac{1}{2})^x-3=2^{-x}-3[/tex]
The value of u is -x.
(3) The expression [tex]\frac{9}{3\sqrt{3} }[/tex] is written as [tex]\sqrt{3} (2^0)[/tex].
[tex]\frac{9}{3\sqrt{3} }=\frac{9}{3\sqrt{3} }(\frac{\sqrt{3}}{\sqrt{3}} )\\\frac{9}{3\sqrt{3} }=\frac{9(\sqrt{3}) }{3(3) }\\\frac{9}{3\sqrt{3} }=\sqrt{3} \\\frac{9}{3\sqrt{3} }=\sqrt{3}(2^0)[/tex]
THe value of u is 0.
(4)The expression [tex]\frac{16}{3(\sqrt{2^{x}} )}[/tex] is written as [tex]\frac{1}{3}(2^{4-\frac{x}{2}})[/tex].
[tex]\frac{16}{3(\sqrt{2^{x}} )}=\frac{2^4}{3(2^x)^{1/2}}\\\frac{16}{3(\sqrt{2^{x}} )}=\frac{1}{3}(2^{4-\frac{x}{2}})[/tex]
The value of u is [tex]4-\frac{x}{2}[/tex].
Final Answer:
1. [tex]\( (5\sqrt{3})^x \) in the form \( 3^u \): \( 3^{x\log_3(5\sqrt{3})} \)[/tex]
2. [tex]\( (1/2)^{x-3} \) in the form \( 2^u \): \( 2^{-(x-3)} \)[/tex]
3. [tex]\( \frac{9}{3\sqrt{3}} \) in the form \( 2^u \): \( 2^{2/3} \)[/tex]
4. [tex]\( \frac{16}{3\sqrt{2^x}} \) in the form \( 2^u \): \( 2^{(2x-4)/3} \)[/tex]
Explanation:
1. [tex]\( (5\sqrt{3})^x \) in the form \( 3^u \): \( 3^{x\log_3(5\sqrt{3})} \)[/tex]
To express [tex]\( (5\sqrt{3})^x \)[/tex] in the form [tex]\( 3^u \)[/tex], we use the logarithmic property [tex]\( a^{\frac{1}{n}} = n\sqrt[n]{a} \)[/tex]. Applying this, we get [tex]\( 5\sqrt{3} = 3^{\frac{\log_3(5\sqrt{3})}{\log_3(3)}} \)[/tex], and raising it to the power ( x ) yields the desired form.
2. [tex]\( (1/2)^{x-3} \) in the form \( 2^u \): \( 2^{-(x-3)} \)[/tex]
To rewrite [tex]\( (1/2)^{x-3} \)[/tex] in the form [tex]\( 2^u \)[/tex], we use the property [tex]\( a^{-b} = \frac{1}{a^b} \)[/tex]. Applying this, we transform the expression to [tex]\( 2^{-(x-3)} \)[/tex], achieving the desired form.
3. [tex]\( \frac{9}{3\sqrt{3}} \) in the form \( 2^u \): \( 2^{2/3} \)[/tex]
By canceling out the common factor of 3 in the numerator and denominator, we simplify [tex]\( \frac{9}{3\sqrt{3}} \)[/tex]to [tex]\( 2^{2/3} \), as \( \sqrt{3} = 3^{1/2} \)[/tex].
4. [tex]\( \frac{16}{3\sqrt{2^x}} \)[/tex] in the form [tex]\( 2^u \): \( 2^{(2x-4)/3} \)[/tex]
Applying the property[tex]\( a^{-b} = \frac{1}{a^b} \)[/tex] to the denominator, we simplify [tex]\( \frac{16}{3\sqrt{2^x}}[/tex] to [tex]\( 2^{(2x-4)/3} \)[/tex], achieving the desired form.
Solve the following system of equations by linear combination:
3d – e = 7
d + e = 5
The solution is (3, 2).
The solution is (2, –1).
There is no solution.
There are an infinite number of solutions.
Answers
d + e = 5
-------------
4d / = 12
d=12:4
d=3
3+e=5
e=5-3
e=2
the solution is (3,2)
Help help help help help
Answers
I’m not 100% sure but it is my best guess
Subtract.
(6k+2)−(3k−2)
Enter your answer, in simplified form, in the box.
Please answer!
Answers
Owen plots the numbers 4, ???6, ???8, and ???3 on a horizontal number line. Which list shows the numbers in the order in which they would appear from left to right on the number line?
???8, ???6, ???3, 4
???3, ???6, ???8, 4
???3, 4, ???6, ???8
???8, ???6, 4, ???3
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Answer:
The answer is a. the real answer
Step-by-step explanation:
Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks? A. $18.12 B. $115.96 C. $116.06 D. $116.16
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$48.97 + $67.09 = $116.06
Checking on answer to this
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so if 5 people each take 2/10 that is equal to
2/10 x 5 = 10/10 thus 1
so none of the pie is left
5. this gate contains a series if congruent quadrilaterals. Are the quadrilaterals also parallelograms? Explain.
Answers
Which expression represents the product of Z and 7?
A. Z+7
B. Z-7
C. Z•7
D. Z divided by 7
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Question 15 please
Please show work and Thank you for your time
Answers
∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.
The annual inflation rate is 3.5% per year. If a movie costs $7.50, determine which of the following graphs best models the change in price, with respect to time, of the movie ticket.
Answers
c (t) = (7.50) * (1.035) ^ t
Where,
c (t): cost of the movie after t years.
7.50: initial cost of the movie in $
1,035: annual percentage increase due to inflation.
t: time in years.
for t = 0 We have:
c (t) = (7.50) * (1.035) ^ 0
c (t) = (7.50) * (1)
c (t) = 7.50
Answer:
The graph that best models the function is:
GRAPH 2 (from left to right).
Answer:
Step-by-step explanation:
Let's model the cost by the following exponential function: c (t) = (7.50) * (1.035) ^ t Where, c (t): cost of the movie after t years. 7.50: initial cost of the movie in $ 1,035: annual percentage increase due to inflation. t: time in years. for t = 0 We have: c (t) = (7.50) * (1.035) ^ 0 c (t) = (7.50) * (1) c (t) = 7.50 Answer: The graph that best models the function is: GRAPH 2 (from left to right).
The shaded area represents a cement walkway around a pool. State the algebraic expression that represents the difference between the outside perimeter of the walkway and the perimeter of the pool.
Answers
Smaller perimeter : 2(2x-1)+2(12)=4x+22
Large perimeter - smaller perimeter = 4x+28
The difference between the outside perimeter of the walkway and the perimeter of the pool in algebraic expression is (2x + 14).
How to solve perimeter of rectangle?Pool:
Length = 2x - 1
Width = 12
The perimeter of the pool = 2(length + width)
= 2{(2x - 1) + 12}
= 2(2x - 1 + 12)
= 2(2x + 11)
= 4x + 22
Outside perimeter of the walkway:
Length = (2x - 1) + x
= 3x - 1
Width = 12 + 7
= 19
The perimeter of the walkway = 2(length + width)
= 2{(3x - 1) + 19}
= 2(3x - 1 + 19
= 2(3x + 18)
= 6x + 36
Difference between the outside perimeter of the walkway and the perimeter of the pool = The perimeter of the walkway - The perimeter of the pool
= (6x + 36) - (4x + 22)
= 6x + 36 - 4x - 22
= 2x + 14
Hence, (2x + 14) is the expression which represents the difference between the perimeter of the walkway and the perimeter of the pool.
Read more on perimeter:
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Amy walks 5 miles north. Then, she turns east and walks another 6 miles before she stops to rest.
How far is Amy from her starting point when she stops to rest?
Round your answer to the nearest tenth
Answers
A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. a wheel on one of the other companies new cross-country bike has 32 spokes. Which equation could be used to determine the number of spokes that a wheel on a cross country bike used to have?
Answers
The original number of spokes on the wheel was 36.
The question seeks to determine the original number of spokes on a bicycle wheel, given that the current number is 32 after reducing by 4. To find the original number of spokes, we need to use a simple algebraic equation that adds the removed spokes back to the current number.
Let x represent the original number of spokes. The manufacturer has reduced the number of spokes by 4, so we subtract 4 from the original number to get the current number of spokes. The equation that represents this scenario is:
x - 4 = 32
To find the original number of spokes, we need to solve for x:
x = 32 + 4
x = 36
Therefore, the original number of spokes on the wheel was 36.
fast help plz.Brennon has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response is "stop" is not known to game players. Brennon presses the button repeatedly and records the numbers of "stop" responses.
Number of button presses 10 50 100
Number of "stop" responses 2 18 33
Estimate P(go) using the collected data
G. 67%
O. 18%
L. 50%
D. 33%
plz help i had to write this whole thing
Answers
If it is asking for the probably of GO responses then take the probability of STOP responses and subtract that from 100
100 - 33 = 67
light travels at a rate of 1.86 x 10^5 miles per second. if the distance from a star to a planet and its orbit is 32,000,000 miles, find how long it takes to light of the star to reach the planet in seconds.
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Light travels at 1.86x10 to the 5th in another word 1.86000 ( 186k ). The planet is 32,000,000 miles away ( 32 million miles ) 32 million divide by 186k = 172.043010753
There is your answer. IT WILL TAKE LIGHT 172.043010753 ( YOU CAN ROUND IT UP ) SECONDS TO REACH THE PLANET.
I hope it helped you out. You can contact me on instagram ( nymul_yt ) and let me know if you got it or get it right. I will try to answer all of your astronomy question. Me and my friend love astronomy. Astronomy is what we live for.
the speed of an object in space is shown in the graph
what is the slope of the line ?
Answers
Answer:
Step-by-step explanation:
The answer is fifteen
Explanation: 6-3/0.4-0.2=3 over 0.2 which is equivalent to 15
Answer B: 15
Step-by-step explanation:
A carpenter makes custom desks. He currently has 7 desks in his showroom. If he can build 3 desks each week, how many weeks will it take him to have a total of 22 desks?
Answers
He already has 7 desks
Subtract 7 from 22
Leaves him 15
Divide by 3
Answer is 5 weeks
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
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need help with my hw
Answers
The graph shows how the cost of gasoline
Answers
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? √10
Answers
Answer:
The length of EF is [tex]4\sqrt{17}[/tex] units.
Step-by-step explanation:
The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1).
Using distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]BC=\sqrt{(3+1)^2+(1-2)^2}=\sqrt{17}[/tex]
It is given that ΔDEF ∼ ΔABC.
If two triangles are similar then the corresponding sides are proportional.
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{AB}{4AB}=\frac{BC}{EF}[/tex] (DE = 4AB)
[tex]\frac{1}{4}=\frac{BC}{EF}[/tex]
[tex]EF=4\times BC[/tex]
[tex]EF=4\times \sqrt{17}[/tex]
[tex]EF=4\sqrt{17}[/tex]
Therefore the length of EF is [tex]4\sqrt{17}[/tex] units.
If i=Square root of -1, what is the value of i^3?
A.-1
B.i
C.1
D.-i
Answers
i = root (-1)
i = (- 1) ^ (1/2)
Then, we have to
By properties of exponents:
i ^ 3 = i ^ 2 * i
Substituting the value of i:
i ^ 3 = ((- 1) ^ (1/2)) ^ 2 * i
Applying properties of exponents:
i ^ 3 = ((- 1) ^ (1/2)) * ((- 1) ^ (1/2)) * i
i ^ 3 = ((- 1) ^ ((1/2) + (1/2)) * i
i ^ 3 = ((- 1) ^ ((2/2)) * i
i ^ 3 = ((- 1) ^ (1) * i
i ^ 3 = -1 * i
i ^ 3 = - i
Answer:
D.-i
Identify the corresponding word problem, given the inequality: 16x ≥ 384
A) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
B) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
C) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will not need more than 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
D) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 24 bottles of water. If a bottle holds 16 ounces of water, what is the total amount of water he will need?
Answers
The problem is represented correctly by the inequality shown:
16x ≥ 384
Where,
x: is the number of 16 oz water bottles.
The key word to notice is:
"he will need AT LEAST 384"
It means that you may need 384 or more ounces of water.
Identify a sequence of transformation that maps triangle ABC onto A"B"C" in the image below.
A. Clockwise 270 degrees rotation; reflection over the X-axis
B. Counterclockwise 90 degrees rotation; reduction
C. Counterclockwise 270 degrees rotation; reflection over the Y-axis
D. Enlargement; clockwise 90 degrees rotation
Answers
Each of the two congruent sides of an isosceles triangle is 8 inches less than twice the base.the perimeter of the triangle is 74 inches ,what is the length of the base
Answers
congruent side = 2x-8
perimeter=2 congruent sides +base
2(2x-8)+x=74
4x-16+x=74
5x=58
x=11.6
length of the base is 11.6 inches
The length of the base of the isosceles triangle is 18 inches.
Explanation:Let the length of the base be 'b' inches. According to the given information, each of the congruent sides of the isosceles triangle is 8 inches less than twice the base. So, the length of each congruent side is (2b - 8) inches.
The perimeter of the triangle is the sum of all three sides, which is given as 74 inches. So, we can write the equation:
(2b - 8) + (2b - 8) + b = 74
Simplifying the equation, we get:
5b - 16 = 74
5b = 90
b = 18
Therefore, the length of the base is 18 inches.
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Sylvia has 3/4 of a yad of paper to wrap candles. It takes 1/8 of a yard of paper to wrap each candle. How many candles can Sylvia Wrap?
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Sylvia can wrap 6 candles.
To find out how many candles Sylvia can wrap with 3/4 of a yard of paper, we need to divide the total paper by the paper needed for each candle. Since it takes 1/8 of a yard to wrap one candle, we can find the number of candles by dividing 3/4 by 1/8:
3/4 ÷ 1/8 = 3/4 x 8/1 = 6 candles
Therefore, Sylvia can wrap 6 candles with the available paper.
Determine which of the following expressions simplifies to x - 4y. Select all situations that apply.
-x(-2 + 8y)
-(-2x + 8y)
3(x - 2y) + 2(y - x)
(y - x)(-2) (-2)
Answers
Proof:
Simplify the following:
3 (x - 2 y) + 2 (y - x)
3 (x - 2 y) = 3 x - 6 y:
3 x - 6 y + 2 (y - x)
2 (y - x) = 2 y - 2 x:
3 x - 6 y + 2 y - 2 x
Grouping like terms, 3 x - 6 y - 2 x + 2 y = (3 x - 2 x) + (2 y - 6 y):
(3 x - 2 x) + (2 y - 6 y)
2 y - 6 y = -4 y:
-4 y + (3 x - 2 x)
3 x - 2 x = x:
Answer: x - 4 y
Answer:
The above one is partly correct the answer (for odyssey ware) is (-(1)/(2)x+2y)(-2)
-(1)/(2) (-2 x + 8 y)
and 3( x - 2 y) + 2( y - x)
Hope this helps people in the future ☜(ﾟヮﾟ☜)
Step-by-step explanation:
when the handles are lifted 7.5 centimeters, the load is lifted 3 centimeters. What is the mechanical advantage of this lever?
Answers
Answer:
2.5 :)
Step-by-step explanation: