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marishachu [46]
2 years ago
8

The function

Mathematics
1 answer:
Ghella [55]2 years ago
8 0

Functions can be represented by equations and graphs

  • There are 2 million users online at 9 am
  • The domain is [0,23], while the range is [2,\infty)

<h3>The number of users at 9am</h3>

The function is given as:

g(x) = \frac 14\sqrt[3]{x - 3} + 2

At 9am, x = 9.

So, we have:

g(x) = \frac 14\sqrt[3]{9 - 3} + 2

Evaluate the difference

g(x) = \frac 14\sqrt[3]{6} + 2

Evaluate the exponent

g(x) = \frac 14 * 1.8 + 2

g(x) = 0.45 + 2

Evaluate the sum

g(x) = 2.45

Approximate

g(x) = 2

Hence, there are 2 million users online at 9 am

<h3>The function transformation</h3>

We have:

g(x) = \frac 14\sqrt[3]{x - 3} + 2

The parent function is:

f(x) = \sqrt[3]{x}

So, the transformations applied to the parent function are:

  • Vertical compression by a scale factor of 4
  • Horizontal shift to the right by 3 units
  • Vertical shift up by 2 units

<h3>The domain and the range</h3>

The domain is the possible input values, and the range are the possible output values.

There are 24 hours in a day.

So, the domain is:

Domain = [0,23]

While the range is [2,\infty)

Read more about function transformation at:

brainly.com/question/1548871

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If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c)
Ann [662]

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

  • at least 10 are repairable = 1 - (10 are not repairable)

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

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from 3 to 8 are repairable = 1/5 *8/15

  • exactly 5 are repairable = 5/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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