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:
L = w + 5
P = 2(L+w) = 42
L + w = 21
w+5 + w = 21
2w + 5 = 21
2w = 16
w = 8 ft
L = w+5 = 13 ft.
Rectangle is 13 ft by 8 ft
Area = 13(8) = 104 ft2
Check: P = 2(L+w) = 2(13+8) = 2(21) = 42 ft
For 3 servings:
chili powder needed is: 3.5x3/2 = 5.25
olive oil needed is 3x3/2 divided by 2 = 2.25
We need to find the principal amount on an interest rate of 13% where the end of year payment is $5043.71.
The original amount is .
i = Interest rate = 13%
n = Compounding period = 4 years
E = End of year payment = $5043.71
The required formula is
The original principal amount was .
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