Answer: The mean increases by 3
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The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
Answer:
D:24.83
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, move the decimal point of the percent two places left.
30% of 90 =
= 30% * 90
= 0.30 * 90
= 27
According to the data given above; x= 3..
y=x+4
y=3+4
y=7
If the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. 
<em><u>Recall:</u></em>
An inverse proportion relationship is represented with the equation, y = k/x.
k is the constant, which is: k = xy
<em><u>Given:</u></em>
Width varies inversely with the length of a rectangle, if:
width = 4
length = 12
The constant, k = (4)(12)
k = 48
To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:

Therefore, if the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. 
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