As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.
<h3>What is the Central limit theorem?</h3>
- The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
- Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.
Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.
Learn more about the central limit theorem here:
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To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b).
Thus, we have
9x² = 4
9x² - 4 = 0
(3x)² - (2)² = 0
(3x + 2)(3x - 2) = 0
We now have two linear equations:
3x + 2 = 0 | 3x - 2 = 0
3x = -2 | 3x = 2
x = -2/3 | x = 2/3
Thus, x = +2/3 and -2/3.<span>
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Answer:
66 inches
Step-by-step explanation:
1 foot = 12 inches
5 feet = how many inches?
Cross multiplying gives;
5 × 12 = 60 inches
So 5 feet 6 inches = 60 inches + 6 inches = 66 inches.
Answer:
True
Step-by-step explanation:
Evaluating the proposed trigonometric form, we get ...
5(cos(270°) +i·sin(270°))
= 5·cos(270°) +5i·sin(270°)
= 5·0 +5i·(-2)
= 5i
The statement is true.
Answer:
40 and 16 for 8 servings
25 and 10 for 5 servings
15 and 6 for 3 servings
Step-by-step explanation:
