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Alona [7]
3 years ago
5

A power plant measures its emissions by putting a sensor 1 mile upwind (in the opposite direction of the wind) of the plants smo

kestack. Will the reading this sensor provides be a random sample of the plants emissions?
Mathematics
1 answer:
lana66690 [7]3 years ago
5 0
The reading that the sensor will provide will be random samples of the different plant emissions. This is because 1 mile is quite a long distance already, if samples are to be tested that far, it is not guaranteed that the samples are really what they are to be.
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4x-x<br> If i have 4x and i minus x, would that make it 3x or just 4?
azamat

Answer:

It would make it 3x

Step-by-step explanation:

4x is just a simplified version of 4 multiplied by x

4*x-x wouldn't equal 4 because you aren't following

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(PEMDAS)

3 0
3 years ago
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
4 years ago
The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units an
zmey [24]

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

  • a = vertical shrink/stretch
  • b = horizontal shrink/stretch
  • c = horizontal movement left/right
  • d = vertical movement up/down

Step-by-step explanation:

<u>Step 1: Define</u>

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

<u>Step 2: Write Vertex Form</u>

  1. Define:                    f(x) = a(bx - c)² + d
  2. Substitute:              f(x) = -1/3(x + 12)² + 9

<u>Step 3: Write Standard Form</u>

  1. Define:                              f(x) = -1/3(x + 12)² + 9
  2. Expand:                             f(x) = -1/3(x² + 24x + 144) + 9
  3. Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9
  4. Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

8 0
3 years ago
(–6)² – (–7)²<br><br> I need a step by step process.
Sati [7]
Is the = -13. Is the response
8 0
3 years ago
How much money will be in Account A at the end of 3 years? $ How much money will be in Account B at the end of 3 years? $.
nalin [4]

Account A is having $1,093 after 3 years. and Account B is having $1,120 after 3 years.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Elisa put $1,000 in each bank.

Account A: gives her at a rate of 3% per annum compounded annually.

Account B: $40 bonus is added to the account each year.

After 3 years, account A will have

\rm Account \ A = 1000(1.03)^3\\\\Account \ A = 1093

Account A is having $1,093 after 3 years.

After 3 years, account B will have

\rm Account \ B= 1000 + 3(40)\\\\Account \ B= 1,120

Account B is having $1,120 after 3 years.

More about the compound interest link is given below.

brainly.com/question/25857212

3 0
2 years ago
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