Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%

Answers

Answer 1

Answer:

mean = 4.5

SD = 1.2

Z value = (3-4.5)/1.2 = - 1.25

Percentage based on z value = 1 - pnorm(1.25) =  0.1056498 = 10.56498%

Answer 2

The response times under 3 minutes is 10.56%

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

mean = 4.5

SD = 1.2

Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25

Percentage based on z value = 1 - pnorm(1.25)

                                                 =  0.1056498

                                                 = 10.56498%

Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.

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Recall that

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Answer:

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Step-by-step explanation:

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Answer:

(2, 5)

Step-by-step explanation:

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mom will let you know

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Step-by-step explanation:

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1.) Write .378 as a fraction in simplest form

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The sum of a number times 7 and 15 is at least -19

Answers

Answer:

x(7+15) [tex]\leq[/tex] -19

Step-by-step explanation:

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The table shows the number of
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Answers

According to the table given, the rate of change is of 9.

The rate of change is given by the change in the output divided by the change in the input.

In this problem:

The input is the number of bouquets.The output is the number of flowers.

Taking two of the points, (3,27) and (5,45), we have that:

[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]

Hence, the rate of change is of 9, which would be verified taking any pair of two points.

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Answers

Answer:

22m+4

Step-by-step explanation:

Let's break it down:

13m+-1(-9m-4)

13m+(9m+4)

22m+4

Answer:

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Step-by-step explanation:

Is it possible to have a bounded feasible region that does not optimize an objective function?

Answers

Feasible sets may be bounded or unbounded. ... If the feasible set is unbounded, there may or may not be an optimum, depending on the specifics of the objective function.

It is not possible to have a bounded feasible region that does not optimize an objective function.

What is the feasible region?

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Answers

13
Use a number line to help.

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Unit 4 Solving Quadratic equations {and complex number}

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Answers

Answer:

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Step-by-step explanation:

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Solve x + 5x – 14 = 0

Answers

Hey there!

Solve the equation:

Answer :

x = 7/3 ✅

Explanations:

x + 5x - 14 = 0

>> Add 14 to both sides :

x + 5x - 14 + 14 = 0 + 14

x + 5x = 14

6x = 14

>> Divide each side by 6 :

6x / 6 = 14 / 6

x = 14/6

Simplify the result :

14 / 6 = 2*7 / 2*3 = 7/3

Therefore, your answer is 7/3 .

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Answers

Answer:

Solving for x, the answer is x = 1 - y/3

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Answer:

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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A box plot is shown

O

2

4

6

8

10

12

Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.

14

16

18

20

22 24 26

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Minimum:

Maximum:

Median:

First Quartile:

Third Quartile:

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2

3

4

11

5

12

6

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13

14

8

21

15

22

16

10

23

17

24

18

25

19

26

20

27

28

29

30

Please answer fast

Answers

Answer:

O

2

4

6

8

10

12

Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.

14

16

18

20

22 24 26

28

30

Minimum:

Maximum:

Median:

First Quartile:

Third Quartile:

1

2

3

4

11

5

12

6

ما تا ته

13

14

8

21

15

22

16

10

23

17

24

18

25

19

26

20

27

28

29

30

Please answer fast

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

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Answers

Answer:

2.05

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12.71/6.2=2.05

The value of the expression 12.71 ÷ 6.2 using the division property will be 2.05.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

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The numbers are given below.

12.71 and 6.2

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Answers

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Step-by-step explanation:

Answer:

B . 34

Step-by-step explanation:

simply subtract the lowest value from the greatest value, ignoring the others.

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Answers

The answer has to be 1.25 I might be wrong tho

Answer:

1.25

Step-by-step explanation:

28 * 1 = 28.  35 - 28 = 7.

Add a decimal after the 1 in your answer and after the 35 in your problem.  Add a zero to make your 7 into 70.  

28 * 2 = 56.  70 - 56 = 14

Add a zero to make your 14 into 140.  

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