Help me with this equation please thanks.
1 answer:
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Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] =
or
E[X] =
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] =
or
E[X²] =
or
E[X²] =
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7
Answer:
Step-by-step explanation:
The problem could be simplified as following:
Given:
The radius of a circle O is 26 feet.
Solve for:
The length of arc on circle O that measures 13 radians
Solution:
Step 1: Let's find out the correct formula to apply:
The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:
L = r*x
Step 2: Let's put the data into formula to work out the length L of arc:
L = 26*13 = 338 (ft)
=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)
Hope this helps!
:)