What are the solutions to this equation 2(6X² + 5x) =12
1 answer:
Answer:
x = - , x =
Step-by-step explanation:
Given
2(6x² + 5x) = 12 ( divide both sides by 2 )
6x² + 5x = 6 ( subtract 6 from both sides )
6x² + 5x - 6 = 0 ← in standard form
(2x + 3)(3x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
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Answer:
For the sampling distribution of the sample proportion for a sample of size 50, the mean is 0.061 and the standard deviation is 0.034.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
So
Mean:
Standard deviation:
For the sampling distribution of the sample proportion for a sample of size 50, the mean is 0.061 and the standard deviation is 0.034.