Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus

2. A is its subset containing all natural numbers less than 10, thus

3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:

Thus,

See the diagram in attached diagram.
Note that

Answer:
The expected participation rate is 0.637.
The standard error is 0.04397
Step-by-step explanation:
For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.
Binomial probability:
Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So
. This means that the expected participation rate is 0.637.
Standard error for the participation rate:
The standard error is given by the following formula:
.
In this problem, 120 people are asked, so 
.
So the standard error is 0.04397
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>q is independent variable, we need to solve it for s:</u>
- 6q = 3s - 9
- 3s = 6q + 9
- s = 2q + 3
<u>Correct choice is </u>
Answer:
Sam worked
hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:

Now,

The hours worked by Sam is 41/30 hours (fractional answer).