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rodikova [14]
3 years ago
14

Find the midpoint of ( 10, -2), (4, 2)

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

(7,0)

Step-by-step explanation:

The midpoint formula is: ((x₁+x₂)/2 , (y₁+y₂)/2)

Substitute and simplify:

((10+4)/2 , (-2+2)/2)

(14/2 , 0/2)

(7,0)

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The data sets show the years of the coins in two collections. Derek's collection: 1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910
KATRIN_1 [288]

Answer:

Derek's collection :

Mean= 1929

Median= 1930

Range= 54

IQR = 48

MAD= 23.75

Paul's collection:

Mean= 1929

Median= 1929.5

Range= 15

IQR = 6

MAD= 3.5

Step-by-step explanation:

1950, 1952, 1908, 1902, 1955, 1954, 1901, 1910

Mean is given by:

(1950+1952+ 1908+1902+1955+1954+1901+1910)/8

=1929

absolute deviation from mean is:

|1950-1929|= 21

|1952-1929|= 23

|1908-1929|= 21

|1902-1929|= 27

|1955-1929|= 26

|1954-1929|= 25

|1901-1929|= 28

|1910-1929|= 19

from the mean of absolute deviation gives the MAD of the data i.e.

(21+23+21+27+26+25+28+`9)/8

23.75

 

:arrange the given data to get the range and median

   1901   1902    1908   1910    1950  1952    1954   1955

The minimum value is: 1901

Maximum value is: 1955

Range is: Maximum value-minimum value

         Range=1955-1901

Range= 54

median is (1910+1950)/2

1930

   the lower set of data=

  1901   1902    1908   1910

first quartile becomes

1902+1908)/2

Q1=1905

and upper set of data is:

1950  1952    1954   1955

we find the median of the  upper quartile or third quartile is:

1952+1954)/2=1953

Q3-Q1=1953-1905=

IQR=48

 

Paul's collection:

1929, 1935, 1928, 1930, 1925, 1932, 1933, 1920

Mean is given by:

1929+1935+ 1928+ 1930+ 1925+ 1932+1933+1920)/8

1929

absolute deviation from mean is:

|1929-1929|=0

|1935-1929|= 6

|1928-1929|= 1

|1930-1929|= 1

|1925-1929|= 4

|1932-1929|= 3

|1933-1929|= 4

|1920-1929|= 9

Hence, we get:

MAD=0+6+1+1+4+3+4+9/8

28/8

3.5

arrange the data in ascending order we get:

1920   1925   1928   1929   1930   1932   1933   1935  

Minimum value= 1920

Maximum value= 1935

Range=  15 (  1935-1920=15 )

The median is between 1929 and 1930

Hence, Median= 1929.5

Also, lower set of data is:

1920   1925   1928   1929  

the first quartile or upper quartile is

1925+1928/2

1926.5

and the upper set of data is:

1930   1932   1933   1935  

We have

1932+1933)/2

1932.5

IQR is calculated as:

Q3-Q1

6

7 0
3 years ago
Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =
Gwar [14]

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

5 0
3 years ago
HELP ILL GIVE BRAINLY
Mariulka [41]

Answer:

15 thirds divided by 3 = 1.66666667

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ITS FOR MY TEST SO PLEASE NO WRONG ANSWERS
AveGali [126]

Let's take a look at the exponent rule:

{x}^{a}  \times  {x}^{b}  =  {x}^{a + b}

Her mistake was she multiplied the exponents instead of adding it up.

3 0
3 years ago
Which pair of points have equal X coordinates?
Varvara68 [4.7K]
Points Q and R. Their coordinates are R=(-5,-7), Q=(-5,6). The first number is the X-intercept. Both Q and R have -5 have -5 as their first number. You can tell this by drawing two line from the x-axis (horizontal) and the y-axis (vertical) and see where they meet up. See what numbers the coordinates are, and presto, you have your answer!
Hope that help!
8 0
3 years ago
Read 2 more answers
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