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3 years ago

Which of the following is an arithmetic sequence with common difference 2

Mathematics

1 answer:

Marta_Voda [28]3 years ago

4 0

Answer:

Step-by-step explanation:

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2 years ago

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Consider three equal sources m in a triangular configuration: one at (a/2, 0), one at (−a/2, 0) and one at (0, a). Plot the stre

belka [17]

Answer:its the third one i took the test

Step-by-step explanation:

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2 years ago

Find the Volume 5 cm 8 cm

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Answer:

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3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

mojhsa [17]

Answer:

(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

Step-by-step explanation:

Let us assume that the percentage of support for the candidate, among voters in her district, is 50%.

(A)

The margin of error, MOE = 0.04.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.04=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.04}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=600.25\approx 601$

Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

The margin of error, MOE = 0.02.

The formula for margin of error is:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}$

The critical value of z for 95% confidence interval is: $z_{\alpha/2}=1.96$

Compute the minimum sample size required as follows:

$MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401$

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

8 0

3 years ago

Great Amusements Park has been raising its ticket prices every year, as shown in the table below

Fiesta28 [93]

1.)

Between year 0 and year 1, we went from $50 to $55.

$55/$50 = 1.1

The price increased by 10% from year 0 to year 1.

Between year 2 and year 1, we went from $55 to $60.50.

$60.50/$55 = 1.1

The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.

The sequence can be written as an = 50·(1.1)ⁿ

2.) To determine the price in year 6, we can use the sequence formula we established already.

a6 = 50·(1.1)⁶ = $88.58

The price of the tickets in year 6 will be $88.58.

4 0

3 years ago