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levacccp [35]
3 years ago
14

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.

Mathematics
2 answers:
Bogdan [553]3 years ago
8 0
Answer: the median is 6.

Please see the picture attached.

A line plot shows the number of occurrences (crosses) of each number of a data set.

The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.

In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.

Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.

You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The median will be the average between the two central numbers, therefore 6 (again).


alekssr [168]3 years ago
4 0

Answer:

6

Step-by-step explanation:

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mars1129 [50]

Answer:

D. 348

Step-by-step explanation:

The volume of the square prisma is given by the following formula:

V = s^{2}h

In which h is the height, and s is the side of the base.

Let's use implicit derivatives to solve this problem:

\frac{dV}{dt} = 2sh\frac{ds}{dt} + s^{2}\frac{dh}{dt}

In this problem, we have that:

\frac{ds}{dt} = 5, \frac{dh}{dt} = -2, h = 7, s = 6

So

\frac{dV}{dt} = 2sh\frac{ds}{dt} + s^{2}\frac{dh}{dt}

\frac{dV}{dt} = 2*6*7*5 + (6)^{2}*(-2) = 348

So the correct answer is:

D. 348

4 0
3 years ago
Rational or Irrational? -√16
Nadya [2.5K]

Answer:

Step-by-step explanation:

-√16= -√4*4= -4

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6 0
3 years ago
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Write a paragraph reflecting on the different methods (graphing technology, tables of values, and successive approximation) of s
mafiozo [28]

Answer with explanation:

To solve , f(x)=g(x)

The three methods that we generally use to solve above equation is

1.→ Graphing technology

2.→Tables of values

3.→Successive approximation

→If you will use "Table of values" ,you will substitute the value of x in both f(x) and g(x) ,so after hit and trial you can find exact value of x, where , f(x)=g(x).

→The method of "Successive approximation" is used by selecting an Interval and then values of x are substituted from the interval to calculate the exact value of x for which, f(x)=g(x) by hit and trial method.Little bit lengthier and time consuming.

→ "Graphing  technology"=Draw graph of both f(x) and g(x) .The point where these two function intersect gives the value of x.Tough to draw the graph of some function but gives exact answer once you have accomplished the drawing of Graph.

⇒"Graphing  technology" is the method that  would be preferred to calculate ,f(x)=g(x), to calculate x.

7 0
3 years ago
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Select the pair of equations whose graphs are perpendicular.  
viktelen [127]
k:\ y=m_1x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\\ \\the\ line\k\ is\ perpendicular\ to\ the\ line\ l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\\----------------------------\\\\A.\\2y=-3x+5\ \ \Rightarrow\ \ \ y=-  \frac{3}{2}  x+2.5\ \ \Rightarrow\ \ m_1=- \frac{3}{2} \\\\2x+3y=4\ \ \Rightarrow\ \ 3y=-2x+4\ \ \Rightarrow\ \ y=- \frac{2}{3}x+1 \frac{1}{3}  \ \ \Rightarrow\ \ m_2=- \frac{2}{3} \\\\m_1\cdot m_2=- \frac{3}{2} \cdot (- \frac{2}{3})=1 \neq -1

B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y=  \frac{5}{8}  x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5}  \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot  \frac{12}{5}= \frac{3}{2}  \neq -1

C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3


D.\\x+6y=8\ \ \Rightarrow\ \ 6y=-x+8\ \ \Rightarrow\ \ \ y=- \frac{1}{6} x+1 \frac{1}{3}\ \ \Rightarrow\ \ m_1= -\frac{1}{6} \\\\y=2x-8\ \Rightarrow\ \ m_2= 2 \\\\m_1\cdot m_2= -\frac{1}{6} \cdot2=- \frac{1}{3} \neq -1
7 0
3 years ago
What is the surface area of the cylinder with height 4 m and radius 2 m? Round your answer to the nearest thousandth. ​
Tems11 [23]

Answer:

<h2>          75.398 m²</h2>

Step-by-step explanation:

A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2

5 0
3 years ago
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