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lys-0071 [83]
3 years ago
11

Every ten years, the Bureau of the Census counts the number of people living in the United States.  In 1790, the population of t

he U.S.  was 3.93 million.  By 1800, this number had grown to 5.31 million.  Write an exponential function that could be used to model the U.S. population y in millions for 1790 to 1800.  Write the equation in terms of x, the number of decades since 1790.
Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
3.93 (million) + (5.31 million). y (3.91 M) + y (oth) = 1.
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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, <em>MOE</em> = 0.04.

The formula for margin of error is:

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

The critical value of <em>z</em> 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, <em>MOE</em> = 0.02.

The formula for margin of error is:

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

The critical value of <em>z</em> 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
Someone pls help me :((
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Answer:

They are both correct.

Step-by-step explanation:

4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.

5 0
3 years ago
What acceleration would that object need to achieve to create a force of 25 Newtons?
Aleks04 [339]

Answer: We want to find the acceleration needed to achieve a force of 25 Newtons.

The acceleration is:

a = 25N/m

By Newton's second law, we know that:

F = m*a

Force equals mass times acceleration.

So if we want to have a force of 25N, we replace F by 25N, so we get:

25N = m*a

Solving this for the acceleration, we get:

25N/m = a

Notice that we can't get the exact acceleration as we do not know the mass of the object, but we got a general formula where we can replace the mass of the object to get the exact acceleration.

Step-by-step explanation:

8 0
1 year ago
4 boys weighed themselves in different pairs and alone. The weights of the pairs were 110kg, 112 kg, 113kg, 118kg, 121 kg, and t
ioda

Answer:

wafasgfawga

Step-by-step explanation:

wadfasgawsgasg

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2 years ago
Express( (√3 +i )^60 )in polar form​
Zinaida [17]

Observe that

|√3 + i| = √((√3)² + 1²) = √4 = 2

and

arg(√3 + i) = arctan(1/√3) = π/6

so that

√3 + i = 2 exp(i π/6)

By de Moivre's theorem, we get

(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰

4 0
2 years ago
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