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Veronika [31]
3 years ago
6

A recycling plant processes an average of 1/3

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
The solution to this problem is to convert 1/3 tons/minute to the number of tons/day.

This is done by multiplying 1/3 tons/minute by 60 minutes/hour and by 24 hours/day.

Looking the units of measure, we see that the minutes will cancel and the hours will cancel; and we will be left with tons/day.  To determine how many, multiply (1/3) x 60 x 24.  I will leave the calculation to you, but you should get 480.
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what is the difference between the mean and the median of the following distribution? {1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,6,7,7,8,8,9
iren2701 [21]

The given distribution =

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

To find mean, we have to add the given numbers and divide it by the total number of terms given.

Here 21 total numbers given.

Mean = (1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9) /21

= (88)/21 = 4.19 (Approximate upto two decimal place)

Median is the middle value of the distribution.

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

There are 21 numbers given. So middle value is the number in the 11th position.

The number in the 11th position is 4.

So, the median of the distribution = 4

We have to find the difference between mean and median here. To find the difference we have to subtract mean and median.

Therefore, the required difference = 4.19 - 4 = 0.19

0.19 is the required answer here.

So, option b is correct.

3 0
4 years ago
Read 2 more answers
I have 1 apple I need 6 more to get to 7 so I pick 3 up eat 2 which picking up 4 more , how many apples do I have?
natita [175]

Answer:

6

Step-by-step explanation:

1+3=4  4-2=2  2+4=6

7 0
3 years ago
Read 2 more answers
The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-
Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}

Its point-slope equation is:

y-4 = \frac {1} {4} (x-8)

Then, we manipulate the expression to find the equation of the slope-intersection form:

y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2

Therefore, the cut-off point with the y-axis is b = 2

ANswer:

y = \frac {1} {4} x + 2

7 0
3 years ago
7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C
4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea x la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}

x = 84

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

y = \frac{3}{7}\cdot x

y = 36

Murieron 36 vacas.

Cantidad de vacas vendidas

z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x

z = 24

24 vacas fueron vendidas.

8 0
3 years ago
Find the product of (5a^3b) (2ab)
erastova [34]

Answer:

10a^4b^2

Step-by-step explanation:

8 0
3 years ago
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