Answer:
150
Step-by-step explanation:
Hello there!
We are given the function:

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.
Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.
So, we substitute x = 1,2 and 3 in the function.
<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

Recall that any numbers in absolute value are always positive.

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

Therefore, Range: {-1,1,3}
Let me know if you have any questions!
Topic: Absolute Value Function / Modulus Function
Answer:
And using the normal standard table or excel we find the probability:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then, the distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Answer:
T can be equal to 1 1/10 or 1.1 or 11/10
Step-by-step explanation:
10t=11
So divide by 10 on both sides.
t=11/10 which can be simplified to t=1 1/10 or t=1.1
:)