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mote1985 [20]
2 years ago
13

The owner of a small manufacturing plant employs six people. As part of their personnel file, the owner asked each employee to r

ecord the distance they travel one way from home to work. The six distances (in miles) are listed below. What is the range of the data? 2.4 5.2 1.8 4.9 6.4 3.5
Mathematics
1 answer:
Nesterboy [21]2 years ago
6 0

Answer:

4.6

Step-by-step explanation:

Formula: Range = highest value - lowest value

Step 1: List all the data in ascending order

1.8, 2.4, 3.5, 4.9, 5.2, 6.4

Step 2: Identify the lowest and highest number

Lowest number : 1.8

Highest number : 6.4

Step 3 : Substitute the values in the formula

Range = highest value - lowest value

6.4 - 1.8 = 4.6

!!

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Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table
vladimir1956 [14]

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

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8 0
1 year ago
From 42 acres to 72 acres (round to the nearest percent
guajiro [1.7K]

Answer:

42 acres to 72 acres, there is an increase of 30 acres

percentage wise

72-42=30

30/72=.4166...

therefore there is also a 41.6% increase

Step-by-step explanation:

71.42 Percentage change:×100%

Now, the change is given from 42 acres to 72 acres, therefore

Change= 72-42=30

⇒Percentage change= ×100%

                                   = 71.42

8 0
2 years ago
Wages. JoAnn works in the publicity office at the state university. She is paid $10 an hour for the first 35 hours she works eac
rosijanka [135]

Since Joann receives $10 per hour for the first 35 hours, so she receives $350 (35 times $10) before she starts receiving extra hours.

Since she received $515, we know that she worked extra hours.

Let's use the variable x to represent the number of extra hours worked.

So we can write the following equation for the total payment received:

\begin{gathered} 10\cdot35+15\cdot x=515 \\ 350+15x=515 \\ 15x=515-350 \\ 15x=165 \\ x=11 \end{gathered}

She worked 11 extra hours. Adding this to the 35 regular hours, so she worked for 46 hours.

5 0
1 year ago
Read 2 more answers
a vacation home in orlando florida, rents for $105 per day. The function f(x)=105x gives the cost of renting the home for x days
aleksley [76]
I believe the slope should be 105. In this situation in particular, 105 stands for the amount of money that is charged for the rent of a house over a period of days. Every day, $105 is added to the rental fee.

I hope this helps! ^^
3 0
3 years ago
Which of the following relations has a domain of {2, 3, 6}? Choose all that apply. {(3, 3), (2, 2), (3, 2), (6, 1)} {(3, 1), (6,
Ganezh [65]
All except (0,2), (5,6), (5,3), and (4,3).  The domain is the x and the range is the y, so the x coordinate has to either be 2, 3, or 6.
7 0
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