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ozzi
3 years ago
10

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable

. ​(a) The number of hits to a Web site in a day. ​(b) The weight of a Upper T dash bone steak. ​(a) Is the number of hits to a Web site in a day discrete or​ continuous? A. The random variable is continuous. The possible values are xequals​0, ​1, ​2,.... B. The random variable is continuous. The possible values are x greater than or equals 0. C. The random variable is discrete. The possible values are xequals​0, ​1, ​2,.... D. The random variable is discrete. The possible values are x greater than or equals 0. ​(b) Is the weight of a Upper T dash bone steak discrete or​ continuous?
Mathematics
1 answer:
yan [13]3 years ago
8 0

Answer:

a) C. The random variable is discrete. The possible values are xequals​0, ​1, ​2,....

b) B. The random variable is continuous. The possible values are x greater than or equals 0.

Step-by-step explanation:

Discrete variables are countable in a finite amount of time. Continuous variables can be infinitely many. They rather assume values in a range.

<u><em>(a) Is the number of hits to a Web site in a day discrete or​ continuous? </em></u>

C. The random variable is discrete. The possible values are x equals​ 0, ​1, ​2,....

<u><em>(b) Is the weight of a Upper T dash bone steak discrete or​ continuous?</em></u>

B. The random variable is continuous. The possible values are x greater than or equals 0.

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The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

  • -6 is in the domain of f(g(x))
  • -6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

g(x) = \sqrt{x + 9

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

Subtract 9 from both sides

x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

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Step-by-step explanation:

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