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iragen [17]
2 years ago
10

1/4(24x+12)=6(x+1/2)

Mathematics
1 answer:
forsale [732]2 years ago
7 0

Answer:

The final answer cannot be decided

Step-by-step explanation:

Since 1/4(24x+12)=6(x+1/2)

This can also be written as

24x+12/4=6(x+1/2)

So let's open the bracket from the right side and also solving using the LCM

24x+12/4=6(2x+1/2)

Open the bracket

24x+12/4=3(2x+1)

24x+12/4=6x+3

Cross multiply

24x+12=4(6x+3)

24x+12=24x+12

Collect like terms

24x-24x=12-12

0=0

Therefore the final answer cannot be decided

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Answer:

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Step-by-step explanation:

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iogann1982 [59]
The <u>correct answer</u> is:

18.

Explanation:

There were 303 people surveyed total.

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Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

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In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., y=\dfrac{1}{4}x, is of the y=kx, where, k=\dfrac{1}{4}.

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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab
Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.25

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when M = 0.1

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.1\sqrt{n} = 2.575{0.25*0.75}

\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}

(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}

n = 124.32

Rounding up

The minimum sample size needed is 125.

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Answer:

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Step-by-step explanation:

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