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arsen [322]
3 years ago
14

The Wallow Fire of 2011 burned 538,000 acres in eastern Arizona. a. If one square mile is 640 acres, how many square miles did t

he fire burn? (You must use unit fractions. Round to 1 decimal place and be sure to include units.) b. The city of Tempe is about 50 square miles in size. How many Tempes would this fire have burned? (You must use unit fractions. Round to 1 decimal place.)
Mathematics
1 answer:
balu736 [363]3 years ago
4 0

a) The fire burnt 840.6 square miles

b) The fire burnt 16.8 tempe

Step-by-step explanation:

1 square mile = 640 acres

a) to find how many square miles did the fire burn:

Total area the fire burn = 538000 acres

1 square miles = 640 acres

Concert the acres into square miles

538000/ 640 = 840.6 square miles

The fire burnt 840.6 square miles

b) 50 square miles= 1 temperatures

The no. Of tempe the fire burn = 840.6/50

= 16.8 tempe

The fire burnt 16.8 tempe

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The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six
irina [24]

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑(\frac{x^{2} }{8}) - (mean^{2})

where x = values of the set.

For Pawnee:

mean^{2} = 3.13^{2} = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

mean^{2}  = 4.25^{2} = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

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olganol [36]

Answer:

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Step-by-step explanation:

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3. Solve using substitution.<br> x - y = 4<br> 3x - 2y = -5
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<u>Given</u>:

The system of linear equations are x-y=4 and 3x-2y=-5

We need to determine the solution to the system of equations using substitution method.

<u>Solution</u>:

The solution can be determined using the substitution method.

Let us substitute x=4+y in the equation 3x-2y=-5

Thus, we have;

3(4+y)-2y=-5

12+3y-2y=-5

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Thus, the value of y is -17.

Substituting y=-17 in the equation x-y=4, we get;

x+17=4

       x=-13

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)

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3 years ago
A group of 4 friends went out for a special dinner. the items they ordered are listed below
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<h3><em>My friends the answer is 3.</em></h3>

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<em>   4 divided by 12 is 3</em>

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