Answer:

Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 ×
) = N ( 50,
)
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50,
)




Using Chebyshev's inequality:

Let assume that X has a symmetric distribution:
Then:


where: (
)

Answer:
The answer is 600.
Step-by-step explanation:
This is because 5 percent of 800 is 40. 800+40 = 840. 15 percent of 800 is 160. 840 - 160 is 680. 10 percent of 800 is 80. 680 - 80 is 600.
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9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
18+ 13 gives you 31 so the difference between 13 and 31 is 18.
the answer is 31
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
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