Answer:
Step-by-step explanation:
Given that 
is the repeating decimal.
The repeating decimal is converted into the fraction as
:
<=> 0.121212 = 
Multiplying both sides by x, we have,
<=> 0.121212x = 3
Dividing both sides by 0.121212, we get:
<=> x = 
<=> x = 25
So the fraction represents the decimal is:
Hope it well find you well.
Answer:
The Rome data center is best described by the mean. The New York data center is best described by the median
Step-by-step explanation:
Before moving forward, first we should understand that what is mean and median. Mean is the average of all the values in the data set. Median is the middle value of the data set in ascending order. As we noticed that there is an outlier in the data for NEW YORK (An outlier is an extreme value in the data set which is much higher or lower as compared to other numbers. It affects the mean value). Since outlier is found in the data of New York therefore mean is not a good representation on the central tendency of the data and gets distorted by the outlier. Therefore it is better to use median. While Rome does not have any outlier, so we can use mean for this.
Therefore we can say that the Rome data center is best described by the mean. The New York data center is best described by the median.
Thus option C is correct....
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 
Now let us consider ΔBDE, sin(∠DBE) = 
C=90°, A=75°, b=AC=19, x=AB
Without a figure, we see AC is adjacent to angle A, so
cos A = AC/AB = b/x
x = b/cos A = 10 / cos 75° ≈ 38.637
Answer: 38.6
