Answer:
Option (C): 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:
1. Rome
Minimum=0
Maximum=16
Median ,
Mean = 8
Standard Deviation(σ)=5.4
As, difference between , Maximum -Mean =Mean - Minimum=8
So, Mean will Worthy description to find the center of Data set, given about Rome.
2. New York
Minimum=1
Maximum=20
Median , Q2 = 5.5
Mean = 7.25
Standard Deviation(σ)=6.1
As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.
As, you can see , the three Quartiles , are very close to each other, it means , other data values are quite apart from each other. So, Mean will not appropriately describe the given data.So, in this case Median will suitable to find the center.
The answer would be 140 because if you subtract 710 from 850 you would get 140.
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
6. 4x
7. 3y
8. 1/2 x (2y-9)
9. 7/2x + 2
The answer is
34 - 12 x > 8
