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Fittoniya [83]
3 years ago
11

Please give me an approximation of how long it would take to evacuate a population of 91,000 to a destination 21 miles away, usi

ng only a one way street with a speed limit of 60mph. Please show steps on how you came up with your answer. Thanks
Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Answer:

The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours

Step-by-step explanation:

Population = 91,000 ppl

Speed limit = 60 mph

Distance = 21 miles.

1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:

T = D/V

D= 21 miles

V = 60 mph:

So;

T = 21 miles / 60mph

T= 0,35 h

2. Asumming that we are going to use an amount of 100 vehicles  with 50-seats in each trip for evacuating people, it means that we could evacuate

500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>

To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate

T= 91,000/ 1,429 = 63,68 hours

             

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Rita drank the following ounces of milk during the last week
Andre45 [30]

Answer:

Mean = 14.14

Mode = 14

Median = 14

Range = 16

Step-by-step explanation:

Given Data Set : 18 , 14 , 10 , 22, 14 , 15 and 6

Identifying the mean

Mean = Sum of given data values / total # of given values

Here sum of given data values = 18 + 14 + 10 + 22 + 14 + 15 + 6 = 99

And there are 7 given data values

So mean = 99 / 7 =

14.14

( approximately )

Identifying the mode

The mode is the number that appears most often

14 appears twice, which is the most times out of any other value

Hence, the mode is

14

Identifying the median

The median is the middle number in terms of value

To make this easier, its best to order the given values from least to greatest
Doing so we acquire 6 , 10 , 14 , 14 , 15 , 18 , 22

Then you go to the middle of the listed terms.

Doing so we would end up with 14 being in the middle

Hence the median is

14

Identifying the range

Range = largest given value - smallest given value

Here the most rita drank was 22 ounces and the least amount of milk she drank was 6 ounces

So the range would be 22 - 6 =

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ounces

And we are done!

3 0
2 years ago
Measure of Angle 1 is 5x.<br> Measure of Angle 3 is x-24.<br><br> What is the measure of Angle 1?
olga55 [171]

Answer:

The answer to your question is:  30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

            5x = x - 24

            5x - x = 24

            4x = 24

            x = 24 / 4

            x = 6

Angle 1 = 5(6)

            = 30°

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3 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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Ostrovityanka [42]

Cot A=1/tan A=12/5

cos A= 12/13

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the side opposite the angle A is 5

the side closest to the angle A which is called the adjacent is 12

sinA =opp/hyp

cos A= adj/hyp

cotA =1/tanA=cos A/sinA

Note: Pythagoras theorem is

hyp²=opp²+adj²

7 0
3 years ago
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Which shows the four-term polynomial and factored form of x² + 6x-27?
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