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2 years ago

Find the values of x for which f(x) = g(x). (Enter your answers as a comma-separated list.)

Mathematics

1 answer:

Rashid [163]2 years ago

5 0

Step-by-step explanation:

When f(x) = g(x), x^4 - 8x^2 = 8x^2.

x^4 - 16x^2 = 0

x^2(x^2 - 16) = 0.

Either x^2 = 0 or x^2 = 16.

The possible values of x are {-4, 0, 4}.

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2 years ago

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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard d

Ostrovityanka [42]

The margin of error of the random selection is 0.29

The given parameters are:

$n = 320$ --- the sample size

$\sigma = 2.9$ --- the standard deviation

$\bar x = 24$ --- the mean

$\alpha = 90\%$ --- the confidence level.

The margin of error (E) is calculated as follows:

$E = z \times \sqrt{\frac{\sigma^2}{n}}$

So, we have:

$E = z \times \sqrt{\frac{3.2^2}{320}}$

$E = z \times \sqrt{\frac{10.24}{320}}$

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

$E = 1.645 \times \sqrt{\frac{10.24}{320}}$

$E = 1.645 \times \sqrt{0.032}$

Take square roots

$E = 1.645 \times 0.1789$

Multiply

$E = 0.2943$

Approximate

$E = 0.29$

Hence, the margin of error is 0.29

Read more about margin of error at:

brainly.com/question/14396648

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2 years ago

Read 2 more answers

1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of th

yKpoI14uk [10]

Answer:

V = 8,181.23 $cm^{3}$

Step-by-step explanation:

Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...

V = $\frac{4}{3} * \pi * r^{3}$

radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.

V = $\frac{4}{3} * \pi * 12.5^{3}$