Answer:
X = 1 ; x = 7
Step-by-step explanation:
Given the equation:
s=10|x-4|+50
s = sound level in decibels ; x = number of measures of music played
Take away 50 from Both right hand and left hand side of the equation
Recall s = 80
80 - 50 = 10│x - 4│+ 50 - 50
30 = 10│x - 4│
To get rid of the absolute value sign, append ± to left hand side
± 30 = 10x - 40
Minimum value of x : - 30 + 40 = 10x ; 10 = 10x ; x = 1
Maximum value of x : 30 + 40 = 10x ; 70 = 10x ; x = 7
Answer:
Increasing sample size (n), decreasing the standard deviation or decreasing the confidence level will reduce the margin of error.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
The margin of error for this interval is:
So, the factors affecting the margin of error are:
- Confidence level
- Standard deviation
- Sample size
It is provided that the team was not happy with the result of the 95% confidence interval constructed, because they felt the margin of error was much too large.
To reduce the margin of error:
- Increase the sample size.
Since the sample is inversely proportional to the margin of error, increasing the value of <em>n</em> will decrease the MOE.
- Decrease the standard deviation.
The standard deviation is directly proportional to the margin of error. On decreasing the standard deviation value the MOE of the interval will also decrease.
- Decrease the confidence level.
The critical value of the distribution is based on the confidence level. Higher the confidence level, higher will be critical value.
So, on deceasing the confidence level the critical value will decrease, hence decreasing the margin of error.
Answer:
13) x=n-11
15) x=3*10
Step-by-step explanation:
I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!
If you are referring to angles of a line, 102° and 78° could be angles of a line since a line equals 180°. This would also be the same for an interior triangle angle and it's matching exterior triangle angle. The two angles (102° + 78°) would also equal 180° since they would be supplementary angles.
I would need to see a picture to know what you are referring to with the 45°.
Hope this helps a little at least! :)
Answer:
1) V
2) V
3) V
4) V
5) V
Step-by-step explanation: