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3 years ago

1. What is the transformed quadratic equation of 3x2 + 5x = 6 in the form of ax2 + bx + c = 0?

Mathematics

1 answer:

Murljashka [212]3 years ago

6 0

Answer:

That will be;

3x^2 + 5x -6 = 0

Step-by-step explanation:

Here, we want to write 3x^2 + 5x = 6 in the form

ax^2 + bx + c = 0

That will be;

3x^2 + 5x -6 = 0

We can simply get it by bringing the value 6 from the right hand side of the equation to the left hand side of the equation

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Which of the following is equivalent to 1/8?

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Reason: because there’s 1 of 8 items is the same ratio

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Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

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2 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

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And the standard error is given by:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

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