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almond37 [142]
3 years ago
11

Please help! The length of a rectangle is 3 less than 4 times the width. The perimeter is 34. Find the length and width of the r

ectangle
Mathematics
1 answer:
Inga [223]3 years ago
3 0

Length (L): 4w - 3

width (w): w

Perimeter (P) = 2L + 2w

                 34 = 2(4w - 3) + 2(w)

                 34 = 8w - 6 + 2w

                 34 = 10w - 6

                 40 = 10w

                   4 = w

Length (L): 4w - 3   = 4(4) - 3   = 16 - 3   = 13

Answer: width=4, length = 13

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<h3>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

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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.

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3 years ago
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Answer:

1. x^2-9x+18

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1. (x-3)(x-6)

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6 0
3 years ago
a random sample of 510 high school students has a normal distribution. The sample mean average ACT exam score was 21 with a 3.2
34kurt

Answer:

CI = 21 ± 0.365

Step-by-step explanation:

The confidence interval is:

CI = x ± SE * CV

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Here, x = 21.

The standard error for a sample mean is:

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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

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Using a calculator or a z-score table:

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See explanations

Step-by-step explanation:

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The fraction can be written as;

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introduce product sign as

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The fraction can be written as;

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Simplifying complex fractions:brainly.com/question/12214941

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