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Vsevolod [243]
3 years ago
7

Five tables and eight chairs cost $115; three tables and five chairs cost $70. Determine the cost of each table and of each chai

r. PLEASE HELP
Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

$75

Step by step explanation:

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Solve 4x^2 + 43 = 120. Round to the nearest hundredth.
Lady bird [3.3K]
4x² + 43 = 120
4x² = 120 - 43
4x² = 77
x² = 77/4
x² = 19.25
x = ±√19.25
x = ±4.39
<span>
The solutions are ±4.39</span>
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Brut [27]
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4 years ago
Suppose that a researcher is planning a new study on hemoglobin levels amongst women under 25 years old. Previous research sugge
Mariulka [41]

Answer:

A sample size of at least 531 is required.

Step-by-step explanation:

We are lacking the confidence level to solve this question, so i am going to use a 90% confidence level.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Find the required sample size for the new study.

A sample size of at least n is required.

n is found when M = 0.05

We have that \sigma = 0.7

So

M = z*\frac{\sigma}{\sqrt{n}}

0.05 = 1.645*\frac{0.7}{\sqrt{n}}

0.05\sqrt{n} = 1.645*0.7

\sqrt{n} = \frac{1.645*0.7}{0.05}

(\sqrt{n})^{2} = (\frac{1.645*0.7}{0.05})^{2}

n = 530.4

Rounding up

A sample size of at least 531 is required.

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3 years ago
In the above diagram, which of the following pairs of angles are NOT adjacent?<br><br><br>​
SpyIntel [72]
The answer is C. b and d.

Adjacent means next to each other.

hope this helps !
4 0
3 years ago
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