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blagie [28]
2 years ago
15

A parent is using a garden hose to fill up a small inflatable pool for her young child. The pool has a capacity of 90 gallons. S

he turns the water off after 5 minutes, but leaves the hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8 minutes since the parent started filling the pool can be seen as a function.

In that function, which variable is independent? Which one is dependent?

Type your response in the space below.
Mathematics
2 answers:
anzhelika [568]2 years ago
4 0

Answer:

Independent variable = the time. Dependent variable = amount of water per minute

Step-by-step explanation;

The total amount of water <em>depends</em><em> </em>on how long the hose is left on.

REY [17]2 years ago
3 0

Answer:

Independent variable = the time. Dependent variable = amount of water per minute

Step-by-step explanation;

The total amount of water depends on how long the hose is left on.

Step-by-step explanation:

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zheka24 [161]

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

\sqrt{\dfrac{\left (n-1  \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1  \right )s^{2}}{\chi _{\alpha /2}^{}}}

s = \sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }

Where:

\bar x = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

\bar x = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = \sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} } = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }

\sqrt{\dfrac{\left (7-1  \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1  \right )2.854^{2}}{0.872}}

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.

7 0
3 years ago
Factor completely 3x(x + 2) + 4(x + 2). (1 point) (x + 2)(7x)
Nezavi [6.7K]

ANSWER

(x + 2)(3x + 4)

EXPLANATION

The given expression is

3x(x + 2) + 4(x + 2)

We can see that (x+2) is the greatest common factor.

We factor to obtain;

(x + 2)( 3x + 4)

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The answer is in fact D
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48 should be the answer
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balandron [24]

Answer:

Step-by-step explanation:

The LCD here is 10.

Multiplying numerator and denominator of (4*10^2) by 10 results in:

40*10^3

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and rewriting (2x10^-1) with positive exponent in the denominator results in:

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So, before simplification, this difference comes out to be:

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