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lana [24]
3 years ago
13

Simplify: |(–3.86 + 6.82)| + |(4.02 – 12.45)|

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

600dot82 - 1229

———————--

100

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A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. Th
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

s = \dfrac{60}{12}

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours

To minutes;

= 3 \times \dfrac{60}{10} \ minutes

= 18 minutes

3 0
3 years ago
a rocket is 1 mile above thw earth in 30 seconds and 5 miles above the earth in 2.5 minutes what is the rockets rate of change i
Veronika [31]
Rate of Change:

At 1 mile in 30 seconds.
At  5 miles in 2.5 minutes.  2.5 minutes = 2.5*60 = 150 seconds.

Rate of change =   Change in height / Change in time

                            =   (h₂-h₁)/(t₂-t₁)

                            =   (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.

                             = (1/30) miles per second or 0.0333 miles per second.


To have the answer in miles per minute.

         (1/30) miles per second = (1/30) miles/second.

60 seconds = 1minute
1 second = (1/60) minute.

(1/30) miles/second  =  (1/30) miles/(1/60)minute
                                   =   (1/30) *60 miles / minute
                                   =    2 miles per minute.
8 0
3 years ago
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio
marshall27 [118]
Y=Acos(p)+m, A=amplitude, p=period, m=midline, in this case:

A=1/2, p=360(t/12)=30t, m=(10-9)/2+9=9.5 so

h(t)=(1/2)cos(30t)+9.5
4 0
3 years ago
Read 2 more answers
Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
Alekssandra [29.7K]

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

5 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents t
Gekata [30.6K]

Answer:

A. 7 in.

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.

We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.

\text{Perimeter}=2(l+w)

\text{16 in}=2(l+w)

\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}

\text{8 in}=l+w

To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.

Therefore, 7 inches the possible value for the length of the rectangle.

5 0
2 years ago
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