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3 years ago

What is the third quartile of this data set ? 14,18,20,21,25,32,40,44,48

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Step-by-step explanation:

Step 1 :

Given data set - 14,18,20,21,25,32,40,44,48

We need to get the 3rd quartile

Step 2 :

To find the quartile's , we have to divide the data set into 4 equal quarters.

The 3rd cut will give the 3rd quartile

Step 3:

The median of this data set is at 25, there are 4 numbers below and above it.

Now we take the 2nd half of the set , after the median and take the median of it.

There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2 , we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.

The average of 40 and 44 is 42 .

Hence the 3rd quartile is 42.

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How many solutions does the equation 3x + 6 = −1 − 3 + 4x have

VashaNatasha [74]

Answer:

ONE: x = 10

Step-by-step explanation:

3x + 6 = -1 - 3 + 4x

3x + 6 = -4 + 4x |subtract 6 from both sides

3x = -10 + 4x |subtract 4x from both sides

-x = -10 |change the signs

x = 10

6 0

3 years ago

line J passes through points (-6,1) and (-3,6) . Line m is parallel to line j and passes through point (15,-1).what is the equat

VMariaS [17]

Slope of the line J
(6-1) / (-3-(-6))
5 / 3

so
m = 5/3

If this line passes through (15,-1)
y = mx + c
-1 = (5/3)*15 + c
-1 = 25 + c
c = -26

equation is
y = (5/3)x - 26

7 0

3 years ago

-6-5

tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

$y = \frac{x}{5} + \frac{12}{5}$

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

$y = \frac{x}{5} + b$

When x = -2, y = 2, then:

$y = \frac{x}{5} + b$

$2 = \frac{-2}{5} + b$

$b = \frac{12}{5}$

Hence:

$y = \frac{x}{5} + \frac{12}{5}$

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0

1 year ago

What's the answer and how do u get that answer

sasho [114]

First you add all of them and then divide by how much numbers you have
Answer: 1025.16666667

8 0

3 years ago

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large

Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b = 126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

4 0

3 years ago