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MrRissso [65]
3 years ago
8

Based on the following set of data, which of the statements shown is true?

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0
The mean is greater than the median
enyata [817]3 years ago
6 0

Answer: mean > median

Step-by-step explanation:

The given data : 11, 11, 12, 13

The mean of the given data set is given by :-

\text{Mean}=\frac{\text{Sum of all elements}}{\text{number of all elements}}\\\\\Rightarrow\ \text{Mean}=\frac{11+11+12+13}{4}\\\\\Rightarrow\ \text{Mean}=\frac{47}{4}\\\\\Rightarrow\ \text{Mean}=11.75

To find median, first arrange them in ascending order  and since the number of elements is a even number(n=4), therefore,

Median=\frac{\frac{n}{2}\ term+(\frac{n}{2}+1)\ term}{2}

\frac{n}{2}\ term=\frac{4}{2}\ term=2nd\ term=11

\frac{n}{2}+1\ term=\frac{4}{2}+1\ term=3rd\ term=12

Median=\frac{11+12}{2}=\frac{23}{2}=11.5

Since, 11.75>11.5

Therefore, mean > median

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How many solutions does x²+3x=3 have?
aev [14]

Answer:

2 (real) solutions.

Step-by-step explanation:

A quadratic always has two solutions, whether they are real or complex.

Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).

In the case of

x^2+3x = 3, or

x² + 3x -3 = 0

we apply the quadratic formula to get

x =  (-3 +/- sqrt(3^2+4(1)(3))/2

to give the two solutions

{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}

both of which are real.

4 0
2 years ago
Simplify 3xy+5yz-2xy +3yz
Free_Kalibri [48]

Answer:

8yz+xy

like terms and then solve it

4 0
3 years ago
Read 2 more answers
Can someone help me with this. Will Mark brainliest.
Anon25 [30]

Answer:

the distance between the two points is √130.

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 = 9^2 = 81

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4 0
3 years ago
What steps should be taken to calculate the volume of the right triangular prism? Select three options.
Mariana [72]

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = \frac{1}{2}(\text{Base})(\text{height})

                                                      = \frac{1}{2}(8)(14)

                                                      = 56 m²                                                    

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                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

5 0
3 years ago
Read 2 more answers
The shoe store has twice as many black shoes as it does brown shoes. The total number of shoes is 66. How many brown shoes are t
fredd [130]
<span>x=number of brown shoes
2x=number of black shoes (twice as many black shoes as brown shoes) 
so x+2x=66 
add like terms 3x=66
solve for x by dividing 3; x=22
so there are 22 brown shoes and 44 black shoes (2 x 22= 44)</span>
5 0
3 years ago
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