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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Answer:
water is Arthur's favorite drink
Step-by-step explanation:
The three drinks are lemonade, milk, and water.
If Paige's drink is a dairy product, milk would be the only answer there.
If Frank's drink comes from a fruit, lemonade would be the answer. Lemonade is made from lemons and sugar.
Water is the only choice left and Arthur is the only person who doesn't have a drink.
So, Arthur's favorite drink would be water.
Taking v to be y, it's written in the standard form for a linear equation, y=mx+c
Answer:
Simplifying
4cos(10x) + 2 = 2
Remove parenthesis around (10x)
4cos * 10x + 2 = 2
Reorder the terms for easier multiplication:
4 * 10cos * x + 2 = 2
Multiply 4 * 10
40cos * x + 2 = 2
Multiply cos * x
40cosx + 2 = 2
Reorder the terms:
2 + 40cosx = 2
Add '-2' to each side of the equation.
2 + -2 + 40cosx = 2 + -2
Combine like terms: 2 + -2 = 0
0 + 40cosx = 2 + -2
40cosx = 2 + -2
Combine like terms: 2 + -2 = 0
40cosx = 0
Solving
40cosx = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Divide each side by '40'.
cosx = 0.0
Simplifying
cosx = 0.0
The solution to this equation could not be determined.
Step-by-step explanation: