1/2r+2(3/4r-1)=1/4r+6
2r-2=1/4r+6
2r=1/4r+8
7/4r=8
7r=32
r=32/7
Answer:
A.The mean would increase.
Step-by-step explanation:
Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.
Presence of outliers effect the measures of central tendency.
The measures of central tendency are mean, median and mode.
The mean of a data set is a a single numerical value that describes the data set. The median is a numerical values that is the mid-value of the data set. The mode of a data set is the value with the highest frequency.
Effect of outliers on mean, median and mode:
- Mean: If the outlier is a very large value then the mean of the data increases and if it is a small value then the mean decreases.
- Median: The presence of outliers in a data set has a very mild effect on the median of the data.
- Mode: The presence of outliers does not have any effect on the mode.
The mean of the test scores without the outlier is:
*Here <em>n</em> is the number of observations.
So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.
The mean increased.
Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.
Conclusion:
After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.
Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour.
CommentI think you need brackets to clarify what you mean. I think it should be written as
10b/(2b + 8)
If that is the case the reciprocal is
(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did.
Put the numerator in the denominator,
Put the denominator in the numerator.
You could simplify this a bit.
2b/10b + 8/10b
which reduces further.
1/5 + 4/5b
Just to make sure you understand where that b is, I will do this in
Latex.
Alternate answerIf you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2
The 8 has nothing to do with the reciprocal under these conditions.
The answerI have given you all the choices I can think of without going into decimals. If you have choices, please list them under the comments.
Answer:
Step-by-step explanation: