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guapka [62]
2 years ago
9

What is the simplified form of each expression?

Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Answer:

-(10)^-1 = A. -1/10

y^-5/x^-3 for x = 2 and y = -4. C. -1/128

Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation

What is the number written in standard notation 5.71 x 10^-3? D) 0.00571

Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3

What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4

Find the simplified form of the expression. Give your answerer in scientific notation.

(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3

What is the simplified form of the expression (m^7) ^2? D. m^14

What is the simplified form of the expression t^8 (t^10) ^0? C. t^8

What is the simplified form of the expression (3q^2) ^4?

D. 81q^8

What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
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Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

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An equation is shown below:
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What is correct about F-test of overall validity of the model?
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Answer: B

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It is one sided test of R-squared being zero versus being greater than zero.

These are the steps of the test.

1. State the null and alternative hypothesis: ...

2. Compute the test statistic: ...

3. Find a (1 - 0.05)×100% confidence interval for the test statistic. ...

4. Decide whether to accept or reject the null hypothesis: 5.991 ∉ [0, 2.28], so reject H 0 .

5. Determine the p-value.

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3 years ago
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