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77julia77 [94]
4 years ago
8

The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The fol

lowing data with waiting times in minutes were collected over a one-month period. 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24.

Mathematics
1 answer:
AleksandrR [38]4 years ago
8 0

Answer:

Step-by-step explanation:

Developing a frequency distribution of the ungrouped data simply means creating a structure (table) for the data. <em>It is a method of converting an ungrouped data into a grouped data for proper analysis of the data</em>.

The table will contain the values, their frequency (this means the number of times individual values occurs based on the classes) and the tally.

Check the attachment for the table.

Given the ungrouped data 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3. The total number of data collected is 20. From the frequency distribution table, it can be seen that the total frequency is 20 which shows that all the values have been catered for.

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Line segments AB and CD intersect at point E. Ray EF extends from point E.
Tom [10]

Answer:

x=29 CEF=103 BEF=58

Step-by-step explanation:

161=3x+16+2x

5x=145

x=29

7 0
3 years ago
What is x - the square root of -2
Lena [83]
Sqrt(-2), can be written as i * sqrt(2). Thus, our answer is x - i sqrt(2).
4 0
3 years ago
18. Express the first amount as a percentage of second.
steposvetlana [31]

Answer:

a. 20%

b. 40%

Step-by-step explanation:

a. 3km =3000m

600/3000×100=20%

b. 3200/8000×100=40%

4 0
2 years ago
A parabola can be drawn given a focus of (2, 4)(2,4) and a directrix of x=4x=4. Write the equation of the parabola in any form.
kipiarov [429]

Answer:

The equation of the parabola is;

x = -(1/4)·(y - 4)² + 3

Step-by-step explanation:

The given focus of the parabola is f = (2, 4)

The directrix of the parabola is x = 4

The vertex form of the equation of the parabola can be expressed as follows;

x = a·(y - k)² + h

(y - k)² = 4·p·(x - h)

Where;

(h, k) = The vertex of the parabola

(h + p, k) = The focus of the parabola

x = h - p = The directrix

Therefore, k = 4

h + p = 2...(1)

h - p = 4...(2)

∴ 2·h = 6

h = 6/2 = 3

From equation (1), we have;

p = 2 - 3 = -1

p = -1

From the equation of the parabola in the form, (y - k)² = 4·p·(x - h), we have;

The equation of the parabola is (y - 4)² = 4 × (-1) ·(x - 3)

Therefore, we have;

(y - 4)² = -4·x + 12

4·x = 12 - (y - 4)²

The equation of the parabola is x = -(1/4)·(y - 4)² + 3

y² -8·y + 16 = -4·x + 12

4·x = 8·y - y² - 16 + 12 = 8·y - y² - 4

x = 2·y - y²/4 - 1 = -y²/4 + 2·y - 1

The equation of the parabola can also be written in the form

x = -y²/4 + 2·y - 1 = -0.25·y² + 2·y - 1

6 0
3 years ago
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saveliy_v [14]

Answer:

Can you take a picture of the line or at least give the slope because without that information I won't be able to find the equation.

Step-by-step explanation:

3 0
3 years ago
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