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3 years ago

Evaluate 2 + x − 2 ∙ 8 for x = 9. 1. −5 2. 58 3. 72 4. −68

Mathematics

1 answer:

irga5000 [103]3 years ago

5 0

Answer:

The answer is -5

Step-by-step explanation:

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8. Resuelve los siguientes problemas:

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2 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

serg [7]

Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

Number of travelers who favor tight security, x = 370

$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$

92% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.08} = \pm 1.645$

Putting the values, we get:

$0.74\pm 1.645(\sqrt{\dfrac{0.74(1-0.74)}{500}}) = 0.74\pm 0.0322\\\\=(0.7078,0.7722)$

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4 years ago

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was co

Free_Kalibri [48]

Answer: 1.88

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\ \pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $1-0.94=0.06$

Critical value : $z_{\alpha/2}=z_{0.06/2}=z_{0.03}$

By using the standard normal distribution table for z, we find the critical value of $z_{0.03}$ corresponds to the p-value 0.03.

$z_{0.03}=1.8807936\approx1.88$

Hence, the z-value that was used in the computation must be 1.88 .

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3 years ago

For a closed For a closed rectangular box, with a square base x by x cm and height h cm, find the dimensions giving the minimum

12345 [234]

Answer:

x = h = ∛7 cm ≈ 1.913 cm

Step-by-step explanation:

The volume and other dimensions are related by ...

V = Bh = x²h

Solving for h gives ...

h = V/(x²)

The surface area is ...

S = 2(x² +h(2x)) = 2x² +4x(V/(x²)) = 2x² +4V/x

Differentiating with respect to x, we can find where the derivative is zero.

S' = 4x -4v/(x²) = 0

x³ -V = 0 . . . . . . . multiply by x²/4

x = ∛V . . . . . . . . . solve for x

h = V/(∛V)² = (∛V)³/(∛V)² = ∛V

The surface area is minimized when the box is a cube. Its edge lengths are all (∛7) cm ≈ 1.913 cm.

4 0

3 years ago