Option 1:
<span>Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
</span>
Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.
Option 2:
<span>Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.
Option 3:
</span><span>
Observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
</span>
Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.
Option 4:
<span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.
Comment: This sampling does fairly represent the population, although it might be an idea to scale down the sample population, i.e. every fiftieth parent.
Answer: Option 4</span>
The first step to solving this is to use tan(t) =
to transform this expression.
cos(x) ×
Using cot(t) =
,, transform the expression again.
cos(x) ×
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) ×
Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) ×
Reduce the expression with cos(x).
Lastly,, use
= csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)
Answer:
(A) $260 + $57x = $488
(B) 4 hours
Step-by-step explanation:
(A) We need to find out how many hours of labor he needed to complete the job. That's what the x will represent.
We know that he charged Katy for the parts and for the labor, with an hourly rate of $57.
We need to sum the amount of money he charged for the parts with the hourly rate multiplied by the number of hours he worked.
Let's notice that we multiply the number of hours just to the hourly rate, the price of the parts doesn't depend on how many hours he worked.
That is $260 + $57*x
We know that the total was $488, so we just need to equal the expression before to the total.
$260 + $57x = $488
That's the expression we were looking for.
(B) Let's solve the equation. We need to leave the x alone on one side of the equation.
First, let's subtract $260 on both sides:
$260 + $57x - $260 = $488 - $260
$57x = $228
Now we divide by $57 on both sides:
$57x/$57 = $228/$57
x = 4
He needed 4 hours to do the job.
Answer:
The y value is on agraph the up and down line
Step-by-step explanation:
Answer:A hope this helped
