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NeTakaya
3 years ago
15

4 tons of sawdust cost $3,120.00. What is the price per pound?

Mathematics
1 answer:
solmaris [256]3 years ago
4 0
0.39 dollars per pound
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Someone please help me
deff fn [24]
1 cup is 128 grams, she used 1/2 of a cup, 1/2 is 64 grams, she needs to add 1/4 of cup (32 grams)  to have the correct amount 
3 0
3 years ago
Pollution of the rivers in the United States has been a problem for many years. Consider the following events: a: the river is p
vampirchik [111]

Answer:

The answer is below

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.3 = 0.7

P(B'/A) = 1 - P(B/A) = 1 - 0.75 - 0.25

P(B/A') = 0.2, P(B'/A') = 1 - 0.2 = 0/8

P(C|A∩B) = 0.20,

P(C|A'∩B) = 0.15,

P(C|A∩B') = 0.80, and

P(C|A'∩B') = 0.90.

A) From conditional probability;

P(B/A) = P(B ∩ A) / P(A)

P(B∩A) = P(B/A) × P(A) = 0.75 × 0.3 = 0.225

P(C/A∩B) = P(A∩B∩C)/P(A∩B)

P(A∩B∩C) =  P(C/A∩B) × P(A∩B)

P(A∩B∩C) = 0.2 ×0.225 = 0.045

B) P(A∩B∩C) = P(A) × P(B/A) × P(C/A∩B)

P(B'∩C) = P(A∩(B'∩C)) + P((A'∩B')∩C)

P(B'∩C) = P(A) × P(B'/A) × P(C/A∩B') + P(A') × P(B'/A') × P(C/A'∩B')

P(B'∩C) = 0.3 × 0.25 × 0.8 + (0.7 × 0.8 × 0.9) = 0.06 + 0.504 = 0.564

C) P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C)

P(A'∩B∩C) = P(A') × P(B/A') × P(C/A'∩B) = 0.7 × 0.2 × 0.15 = 0.021

P(A∩B'∩C) = P(A) × P(B'/A) × P(C/A∩B') =  0.3 × 0.25 × 0.8 = 0.06

P(A'∩B'∩C) = P(A') × P(B'/A') × P(C/A'∩B') = 0.7 × 0.8 × 0.9 = 0.504

P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C) = 0.045 + 0.021 + 0.06 + 0.504 = 0.63

D) P(A/B'∩C) = P(A∩B'∩C)/P(B'∩C)

P(A/B'∩C) = 0.06 / 0.564 = 0.106

6 0
3 years ago
The video streaming service that you want to use is represented with the equation below, where y represents the the total monthl
Kisachek [45]

The coefficients of the linear relation are:

  • Initial value = 5
  • Rate of change = 1.25

<h3>How to find a linear equation?</h3>

A general linear equation is given by:

y = a*x + b

Where a is the slope (also called the rate of change) and b is the y-intercept (also called the initial value).

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we will use only need the first two pairs from the table (you can use any two you want).

(0, 5)

(5, 11.25)

From the first one, you can see that when x = 0, y = 5.

Replacing that in the general linear equation we get:

5 = a*0 + b

5 = b

So we already know the initial value. Now we can use these two points to get the slope (rate of change).

a = \frac{11.25 - 5}{5 - 0} = 1.25

Then we can conclude:

  • Initial value = 5
  • Rate of change = 1.25

If you want to learn more about linear equations, you can read:

brainly.com/question/4074386

4 0
2 years ago
Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression.
MrRa [10]

Answer:

<em> The numbers are 6, 18, and 30 </em>

Step-by-step explanation:

If the three numbers are in the ratio of 3:9:10,

let the numbers be 3x, 9x and 10x.

<em>If 10 is added to the last number to form an arithmetic progression</em>

<em>Then, 3x 9x (10x+10) are the progression</em>

The common difference of an arithmetic progression (d) = T₂ - T₁ = T₃ - T₂

T₂-T₁ = T₃ - T₂ .............. Equation 1

Where T₁ = first term of the progression, T₂ = Second term of the progression, T₃ = third term of the progression

<em>Given: T₁ = 3x, T₂ = 9x, T₃ = 10x +10</em>

<em>Substituting these values into equation 1</em>

<em>9x-3x = (10x+10)-9x</em>

<em>Solving the equation above,</em>

<em>3x = 10+x</em>

<em>3x-x = 10</em>

<em>2x = 10</em>

<em>x = 10/2</em>

<em>x = 2.</em>

<em>Therefore the numbers are 6, 18, and 30 </em>

<em />

7 0
3 years ago
Ruby ate 1/3 (fraction) of a pizza, and Angie ate 1/5 (fraction) of the pizza. How much pizza did they eat in all?
Gnom [1K]
Ruby and Angie ate 8/15 of the pizza all together
3 0
3 years ago
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