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Artyom0805 [142]
2 years ago
7

Please help explanation if possible

Mathematics
1 answer:
Andrej [43]2 years ago
7 0

9514 1404 393

Answer:

  y -4 = -2(x -(-11))

Step-by-step explanation:

The point slope formula is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

So, the boxes in order from left to right are k, m, h.

The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.

Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...

  y-\boxed{4}=\boxed{-2}(x-\boxed{-11})

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Type the correct answer in each box. Use numerals instead of words. Any non-integer answers in this problem should be entered as
ladessa [460]

Answer:

The interquartile range of the data set is 5

The mean absolute deviation of the data set is 3.6

Step-by-step explanation:

* Lets explain how to find the interquartile range and the mean absolute

  deviation (MAD)

- The steps to find the interquartile range is:

1- Arrange the values from the smallest to the largest

∴ The values are 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

2- Find the median

- The median is the middle value after arrange them

* If there are two values in the middle take their average

∵ The values are 10 then the 5th and the 6th are the values

∵ The 5th is 12 and the 6th is 13

∴ The median = \frac{12+13}{2}=12.5

∴ The median is 12.5

3- Calculate the median of the lower quartile

- The lower quartile is the median of the first half data values

∵ There are 10 values

∴ The first half is the first five values

∴ The first half values are 5 , 6 , 10 , 11 , 12

∵ The middle value is 10

∴ The median of lower quartile = 10

- Similar find the median of the upper quartile

- The upper quartile is the median of the second half data values

∵ There are 10 numbers

∴ The second half is the last five values

∴ The second half values are 13 , 14 , 15 , 18 , 20

∵ The middle value is 15

∴ The median of upper quartile = 15

4- The interquartile range (IQR) is the difference between the upper

    and the lower medians

∴ The interquartile range = 15 - 10 = 5

* The interquartile range of the data set is 5

* Lets talk about the mean absolute deviation

- Mean absolute deviation (MAD) of a data set is the average distance  

 between each data value and the mean

- To find the mean absolute deviation of the data, start by finding

   the mean of the data set.  

1- Find the sum of the data values, and divide the sum by the  

   number of data values.  

∵ The data set is 5 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 18 , 20

∵ Its sum = 5 + 6 + 10 + 11 + 12 + 13 + 14 + 15 + 18 + 20 = 124

∵ The mean = the sum of the data values/the number of the data

∵ The set has 10 numbers

∴ The mean = 124/10 = 12.4

2- Find the absolute value of the difference between each data value  

   and the mean ⇒ |data value – mean|

# I5 - 12.4I = 7.4

# I6 - 12.4I = 6.4

# I10 - 12.4I = 2.4

# I11 - 12.4I = 1.4

# I12 - 12.4I = 0.4

# I13 - 12.4I = 0.6

# I14 - 12.4I = 1.6

# I15 - 12.4I = 2.6

# I18 - 12.4I = 5.6

# I20 - 12.4I = 7.6

3- Find the sum of the absolute values of the differences.

∵ Their sum = 7.4 + 6.4 + 2.4 + 1.4 + 0.4 + 0.6 + 1.6 + 2.6 + 5.6 + 7.6

∴ Their sum = 36

4- Divide the sum of the absolute values of the differences by the

    number of data values  to find MAD

∴ MAD = The sum of the absolute values/number of the values

∵ The sum = 36

∵ The data set has 10 values

∴ MAD = 36/10 = 3.6

* The mean absolute deviation of the data set is 3.6

6 0
2 years ago
HELP NEED ASAP FOR TOMORROW ITS FOR MY HOMEWORK!! ILL MARK BRAINLIEST IF RIGHT!!​
Slav-nsk [51]

Answer:

  y ≥ -x +2

Step-by-step explanation:

The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...

  y = -x +2

The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".

We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:

  y ≥ -x +2

Another way to write this is ...

  x + y ≥ 2

4 0
3 years ago
How do you find the slope using this table? I graphed it too but I can't understand it!
sammy [17]
M=Y2-Y1/X2-X1
M= 1250-1625/4-2.5
M=841.25
But I have no clue how you would graph that
5 0
3 years ago
I need help on this math problem?​
Licemer1 [7]

Answer:

A thend D

Step-by-step explanation:

6 0
3 years ago
The tiger at the zoo ate 133 pounds of food in 7 days find the average change in the zoos tiger food supply each day
vfiekz [6]

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?

A) stretched vertically, shifted left 2 units, and shifted down 4 units  

B) stretched vertically, shifted right 2 units, and shifted up 4 units  

C) compressed vertically, shifted left 2 units, and shifted down 4 units  

Eliminate

D) compressed vertically, shifted right 2 units, and shifted up 4 units

5 0
3 years ago
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