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Natasha_Volkova [10]
3 years ago
15

Disasters (Vol. 28, 2004) published a study of the effects of a tropical cyclone on the quality of drinking water on a remote Pa

cific island. Water samples (size 500 milliliters) were collected approximately four weeks after Cyclone Ami hit the island. The following variables were recorded for each water sample: a. Town where sample was collected b. Type of water supply (river intake, stream, or borehole) c. Acidic level (pH scale, 1 to 14) d. Turbidity level (nephalometric turbidity units NTUs) e. Temperature (degrees centigrade) f. Number of fecal coliforms per 100 milliliters g. Free-chlorine residual (milligrams per liter) h. Presence of hydrogen sulphide (yes or no) Identify each variable as quantitative or qualitative.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer and explanation:

A quantitative variable is the one that can be measured numerically (in a discreet form or a function form). A qualitative variable are those that can´t be a numerical value but can be organized in groups.

Assuming these statements, we can determine that the variables in a), b) and h) are qualitative, while the variables in c), d), e), f) and g) are quantitative ones.

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If the total value of the coins is 36¢, what is the missing coin?
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Answer:

1 penny 3 nickels 2 dimes = 36 cents

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Step-by-step explanation:

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The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po
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Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

A = B

Step-by-step explanation:

<em>See comment for complete question</em>

Given

A: (4x^2 - 4x)(x^2 - 4)

B: (x^2 + x - 2)(4x^2 - 8x)

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

A: (4x^2 - 4x)(x^2 - 4)

Factor out 4x

A: 4x(x - 1)(x^2 - 4)

Apply difference of two squares on x^2 - 4

A: 4x(x - 1)(x - 2)(x+2)

For, Polynomial B: We have:

B: (x^2 + x - 2)(4x^2 - 8x)

Expand x^2 + x - 2

B:(x^2 + 2x - x - 2)(4x^2- 8x)

Factorize:

B:(x(x + 2) -1(x + 2))(4x^2- 8x)

Factor out x + 2

B:(x -1) (x + 2)(4x^2- 8x)

Factor out 4x

B:(x -1) (x + 2)4x(x- 2)

Rearrange

B: 4x(x - 1)(x - 2)(x+2)

The simplified expressions are:

A: 4x(x - 1)(x - 2)(x+2) and  

B: 4x(x - 1)(x - 2)(x+2)

Hence, both polynomials are equal

A = B

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Step-by-step explanation:

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