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stiv31 [10]
2 years ago
13

Subtract (-2x² +3x-5) from( 6x2 -4x+2)

Mathematics
1 answer:
Andreyy892 years ago
8 0

Answer:

8x² - 7x + 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(6x² - 4x + 2) - (-2x² + 3x - 5)

<u>Step 2: Simplify</u>

  1. Distribute negative:                    6x² - 4x + 2 + 2x² - 3x + 5
  2. Combine like terms (x²):             8x² - 4x + 2 - 3x + 5
  3. Combine like terms (x):               8x² - 7x + 2 + 5
  4. Combine like terms (Z):              8x² - 7x + 7
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The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta
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Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

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Step-by-step explanation:

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2 years ago
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