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mash [69]
2 years ago
7

A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s

olid waste are dumped at the site five days per week. This waste is compacted to twice its delivered density. Estimate the expected life of the landfill in years. (5 points)
Mathematics
1 answer:
AfilCa [17]2 years ago
6 0

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

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A ________ indicates how far an individual raw score falls from the mean of a distribution; the ________ indicates how the score
I am Lyosha [343]

Answer:

A <u>z-score</u> indicates how far an individual raw score falls from the mean of a distribution; the <u>standard deviation</u> indicates how the scores in general scatter around the mean.

Step-by-step explanation:

We have been given an incomplete statement. We are supposed to complete the given statement.

We know that z-score of a data set indicates that a sample score or raw score is how many standard deviation away from the mean. Z-score indicates the distance of a raw score is above or below mean in units.

Therefore, the correct word for 1st blank would be "z-score".

We also know that standard deviation represents the variation of a data set. It tells that data points of a data set are how much close or away from mean of the data set.

Therefore, the correct word for 2nd blank would be "standard deviation".

5 0
3 years ago
Katie runs 3 miles in 28 minutes. At this pace, how long will it take her to run 13.1 miles? Round to the nearest minute.
klemol [59]

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

6 0
2 years ago
Read 2 more answers
With work please!!!<br><br> f(x) = -x^4 + 5x - 4x^2<br><br> (f (2))^2
marishachu [46]

Answer: 484

===============================================

Work Shown:

First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify

f(x) = -x^4 + 5x - 4x^2

f(2) = -(2)^4 + 5(2) - 4(2)^2

f(2) = -16 + 5(2) - 4(4)

f(2) = -16 + 10 - 16

f(2) = -6 - 16

f(2) = -22

Then we square this result to find the value of [ f(2) ]^2

f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484

6 0
3 years ago
A dry cleaner charges $18 to clean 4 pairs of pants.   How many pairs of pants can be cleaned for $27 at the same rate?
blondinia [14]

4 pairs of pants for $18.

Divide price by quantity to get the cost of 1 pair of pants:

18 / 4 = 4.50 per pair.


Divide 27 by 4.50 to find number of pairs:

27 / 4.5 = 6

6 pairs of pants can be cleaned for $27.

5 0
3 years ago
Joe deposit $4000 into an account that pays simple interest to rate of 2% per year how much interest would be paid in the first
fenix001 [56]
Answer is $240.00 because 2% of $4000 is 80. Multiply 80 by 3 years and you get $240.00
6 0
3 years ago
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