Answer:
(a) 25
(b) 9.27
Step-by-step explanation:
Step 1
We have to rearrange the given days set from least to highest
35, 40, 45, 55, 60
(a) the range
Range = The highest number - The least number
= 60 - 35
= 25
(b) the standard deviation of the data set
35, 40, 45, 55, 60.
We find the Mean
Mean = Sum of values/Number of values
= 35+40+45+55+60/5
= 235/5
= 47
We can find the standard deviation now.
The formula =
√(x - Mean)²/n
= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5
= √144 + 49 + 4 + 64 +169/5
= √430/5
= √86
= 9.273618495
Approximately = 9.27
Answer:
Supplementary angle; x = 14.
Step-by-step explanation:
Angle (9x - 2) and angle (10y + 6) form a straight line, so they form a supplementary angle.
Because angle (9x - 2) and (5x + 54) are corresponding angles, we can set them equal to each other.
9x - 2 = 5x + 54
9x - 5x = 54 + 2
4x = 56
x = 14.
Hope this helps!
Answer:
-2x = 4 4 + -2x
Step-by-step explanation:
-4x - 2x 2x - 4x
The height will be four, becaus 5 is the height of the base not the whole prism. You can tell be beacause when you find the area of the base and multiply it by the height you multiply it by 4 not 5.