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WARRIOR [948]
2 years ago
10

Simplify 2x²/x²-7x+12 - x²+9/x²-7x+12

Mathematics
2 answers:
Nina [5.8K]2 years ago
7 0

Answer:

2x²/x² - 7x + 12 - x² + 9/x² - 7x + 12

2x²/x² simplifies to just 2 (the x²s cancel out)

2 - 7x + 12 - x² + 9/x² - 7x + 12

add like terms: (2 + 12 + 12) + (-7x - 7x) - x² + 9/x²

= - x² - 14x + 9/x² + 26

Ivenika [448]2 years ago
5 0

Answer:

(x+3)/(x-4)

Step-by-step explanation:

[2x²/(x-4)(x-3)] - [x²+9/(x-4)(x-3)] =

(x²-9)/(x-4)(x-3) =

(x+3)(x-3)/(x-4)(x-3) =

x+3/x-4

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Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation
Leto [7]

Answer:

The 95% confidence interval obtained with a sample size of 64 will give greater precision.            

Step-by-step explanation:

We are given the following in the question:

A 95% confidence interval is calculated with the following sample sizes

n_1 = 25\\n_2 = 64

The population mean and standard deviation are unknown.

Effect of sample size on confidence interval:

  • As the sample size increases the margin of error decreases.
  • As the margin of error decreases the width of the confidence level decreases.
  • Thus, with increased sample size the width of confidence level decreases.

If we want a confidence interval with greater precision that is smaller width, we have to choose the higher sample size.

Thus, the 95% confidence interval obtained with a sample size of 64 will give greater precision.

3 0
2 years ago
The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta
Anestetic [448]

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.

7 0
3 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumfere
scZoUnD [109]
C=d x pi
d= 24
C= 24 x 3.14
C=75.36 inches

hope this helps
8 0
3 years ago
Last year there were 120 students in choir. This year, 30% more students took choir. How many students are taking choir this yea
hjlf

Answer:

120 into a third and divide and the answer

Step-by-step explanation:

160

7 0
3 years ago
A function f (x)=-8x^2. What is f (-3)?
Sveta_85 [38]
F(x)= -8x²

f(-3)= -8* (-3)²

f(-3)= -8 * 9

f(-3)= -72
8 0
3 years ago
Read 2 more answers
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