5/11 in decimal form is .45
A) it is left skewed
B) the median is 5
C) the mean is 5.15
D) the mean would be more affected (a change of 1.05 versus a change of 0.5).
The majority of the data is to the right of the graph; this means it is left skewed.
To find the median, write all of the data values out:
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7
The middle value is 5.
We find the sum of this set of values and divide by 13, the number of data points, to find the mean:
2+3+4+4+5+5+5+6+6+6+7+7+7 = 67/13 = 5.15
If we added an additional data value at 20, the new median would be 5.5. The new mean would be (67+20)/14 = 6.2. The mean changes more than the median.
Answer:
26.8°
Step-by-step explanation:
The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.
If cos B = 0.8926
then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.
B = cos-1 0.8926
= 26.8°
Let 
. Then differentiating, we get
We approximate 
at 
with the tangent line,
The 
-intercept for this approximation will be our next approximation for the root,
Repeat this process. Approximate at 
.
Then
Once more. Approximate at 
.
Then
Compare this to the actual root of , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.
