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Answer: Sample B as it has the smaller sample (choice #4)</h3>
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Explanation:
Recall that the margin of error (MOE) is defined as
MOE = z*s/sqrt(n)
The sample size n is located in the denominator, meaning that as n gets bigger, the MOE gets smaller. The same happens in reverse: as n gets smaller, the MOE gets bigger.
Put another way, a small sample size means we have more error because small samples mean they are less representative of the population at large. The bigger a sample is, the better estimate we will have of the parameter.
We are told that "sample A had a larger sample size" indicating that sample A has a more narrow confidence interval.
Therefore, sample B would have a wider confidence interval.
This is true regardless of what the confidence level is set at.
Answer:
1. x^2-9x+18
2. 2x^2-4x-16
3. 3x^2-19x-14
4. 6x^2 +14x + 8
Step-by-step explanation:
1. (x-3)(x-6)
x^2 - 6x - 3x +18 = x^2-9x+18
2. (2x+4)(x-4)
2x^2-8x+4x-16 = 2x^2-4x-16
3. (x-7)(3x+2)
3x^2+2x-21x-14 = 3x^2-19x-14
4. (3x+4)(2x+2)
6x^2+6x+8x+8 = 6x^2 +14x + 8
Answer:
CI = 21 ± 0.365
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 21.
The standard error for a sample mean is:
SE = σ / √n
SE = 3.2 / √510
SE = 0.142
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level and the critical probability.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
Using a calculator or a z-score table:
P(x<z) = 0.995
z = 2.576
Therefore:
CI = 21 ± 0.142 × 2.576
CI = 21 ± 0.365
Round as needed.
Answer:
-1/1 or -1
Step-by-step explanation:
subtract y: 3-4= -1
subtract x: 2-1=1
answer: -1/1
See explanations
Step-by-step explanation:
6. The fraction can be written as;

Divide 4 by 2
=
7.
The fraction can be written as;

introduce product sign as

8.
The fraction can be written as;

Introduce product sign

9.
The fraction can be written as;

10.
The fraction is simplified to;

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Keywords: simplifying, complex, fractions
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