The scale of a map says that 4 cm represents 5 km.

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Temka [501]

(3,6) (5,3)
(x1,y1)(x2,y2)

The slope equation is: y2-y1
---------
x2-x1

Replace with numbers: 3-6/5-3

Minus 3 and 6 is equal to -3

Minus 5-3 is 2

So the fraction is -3/2 (no need to divide because you can't simplify it)

So the slope is -3/2

For the equation you have to replace the letters by 0's

3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0

-2y=6

Divide -2y from the 6

-2y=6
---- ---
-2 -2

y=3

The y intercept is 3 with the slope of -3/2

8 0

3 years ago

Find the IQR (interquartile range). 19, 21, 18, 17, 18, 22,46

yanalaym [24]

Answer:

4.

Step-by-step explanation:

Step 1: Formula.

$IQR=Q3-Q1$

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Step 2: Explain/define.

The interquartile range is the difference between quartile 3 and quartile 1.
Quartile 1 is the median of the upper half of a data set.
Quartile 3 is the median of the lower half of a data set.
The median is the 'middle value.'

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Step 3: Order/arrange.

In order to find the median, you must first put the numbers in numerical order.

19, 21, 18, 17, 18, 22, 46

↓

17, 18, 18, 19, 21, 22, 46

The lower half of the data set, not including the median of the whole data set, is 17, 18, and 18.

The upper half of the data set is 21, 22, and 46.

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Step 4: Solve.

17, 18, 18

21, 22, 36

Next, we find the medians of both sets.

The median of the lower half is 18 (Q1).

The median of the upper half is 22 (Q3).

Lastly, we subtract Q3 from Q1.

$22-18=4.$

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Step 5: Conclude.

I, therefore, believe the interquartile range of this data set is 4.

3 0

2 years ago

PLEASE HELP!!!!! For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show

Shalnov [3]

Vertex = (1/2,5/2) x= 1 + or - square root of 5-2y all over 2

3 0

2 years ago

Read 2 more answers

10; your car travels for 10 hours.

Assoli18 [71]

The algebraic expression that represents the total distance traveled by the car is 10s

<h3>How to determine the algebraic expression?</h3>

The given parameters are:

Speed = s miles per hour
Time = 10 hours

The distance is calculated using:

Distance = Speed * Time

So, we have:

Distance = s* 10

Evaluate

Distance = 10s

Hence, the algebraic expression that represents the total distance traveled by the car is 10s

Read more about distance and speed at:

brainly.com/question/4931057

#SPJ1

Complete question

Your car travels for 10 hours at an average speed of s miles per hour. Write an algebraic expression that represents the total distance traveled by the car

5 0

1 year ago

The equation y - ax2 is your new best friend. possibly because you desperately want to know what y is. However. you have only va

kiruha [24]

Answer: a

Step-by-step explanation:

8 0

3 years ago