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:
9/8 or 1 1/8
Step-by-step explanation:
9/4 - 9/8
Need a common denominator, multiply 9/4 x 2/2
18/8 - 9/8
Subtract the top numbers
18-9 = 9
The eight stays the same
9/8 or 1 1/8
9514 1404 393
Answer:
28
Step-by-step explanation:
The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.
Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.
Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.
__
Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.
perimeter ΔBEC = CB +BE +EC
perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in
The perimeter of triangle BEC is 28 inches.
