Answer:
132°
Step-by-step explanation:
We will using exterior angle property which states that sum of two interior angles equals to the exterior angle.
60° + 72° = x
132° = x
Hence, exterior angle 'x' measures 132°.
Answer:
Step-by-step explanation:
It means that you are above the poverty level by 67%. Good state to be in.
Although what exactly that amounts to depends on where you live. When you follow the government link, there are only 2 examples given -- one for Alaska and 1 for Hawaii. It is easier to understand what 100% of the poverty level means and then figure out what 200% means. That way you can estimate 167%.
Suppose in your state you and your significant other live in the same household. The chart shows the base line is 17000 dollars. Below that and you are even poorer than at the poverty level.
So 100% is 17000
200% would be 2*17000 = 34000 dollars.
167% is somewhere between these two numbers.
The simple way to do this is to use the fractional amount
167%/100 = 1.67
The number you have to work with is 1.67 * 17000 = 28390.
The reason this is important is because the state you live in may offer you assistance up to and including 167% of the base poverty level, in this case 28390
In a box and whisker plot, the Median is represented by the line at the center of the box.
So, from the above figures we can see that the Median for the Class Data is around 82 and the median for the Exam Data is around 87. It is clear that the Median of Exam data is higher than the Median of Class Data.
So, the best statement to describe the medians will be the option C. The class median is lower than the exam median. The option A and B are not correct. The outlier does have not have much of a large impact on the median of the data and neither the spread of the data primarily determines its median. Median only depends on the number of values in the data set.
Therefore, the correct answer is option C
Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value = 
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
Answer:
F=140
Step-by-step explanation:
Remember that all angles will be able to add to 720 so you should get something like this:
130+120+110+x-20+x-60+x-40=720
Then solve for x to do this:
130+120+110+x-20+x-60+x-40=720
360-120+3x=720
3x+240=720
3x=480
x=480/3
x=160
With x=160, you can plug in to solve and find that F=140
