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docker41 [41]
3 years ago
6

This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started

the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week

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Henry is filling up his fish tank with water at a constant rate.
ira [324]

Answer:

It would have started to be filled at 10 cm

Step-by-step explanation:

FInd teh difference between 8 and 2 which is 6

Find the difference between 34 and 16 which is 18

Divide 18 by 6 which is 3

Subtract 2(3) = 6 by 16 which is 10

5 0
3 years ago
-1/2 = 3/8y solve for y
valentinak56 [21]

Answer:

y = -4/3

Step-by-step explanation:

cross multiply

-1(8) / 2(3)

=-8/6

simplify -8/6

y = -4/3

now substitute

-1/2=3/8(-4/3)

-1/2=-12/24

-1/2=-1/2

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6 0
3 years ago
Consider the probability distribution shown below. x 0 1 2 p(x) 0.15 0.60. 0.25 compute the expected value of the distribution.
ipn [44]

Answer:

1.10

Step-by-step explanation:

Given the probability distribution :

x : ___ 0 ___ 1 ___ 2

p(x)__0.15 _0.60 __0.25

The expected value is obtained by:

Σ(X * p(x))

(0 * 0.15) + (1 * 0.60) + (2 * 0.25)

0 + 0.60 + 0.50

= 1.10

6 0
3 years ago
What is the derivative of f(x) = x(6^-2x)
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3 years ago
A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in how is the approp
vova2212 [387]

Answer:

The correct answer is

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

Step-by-step explanation:

To solve the question we note that the question involves a test statistic calculation given by

t = \frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1} +}\frac{s_2^2}{n_2}  } Where

x₁ = Mean of sample 1

x₂ = Mean of sample 2

n₁ = Sample size of sample 1

n₂ = Sample size of sample 2

s₁ = Variance of sample 1

s₂ = Variance of sample 2

s₁ = ∑(x₁ - x₁')²/n₁,  s₂ = ∑(x₂ - x₂')²/n₂

The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis

With the given data, we have

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

4 0
3 years ago
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