Answer:
a) The mean of the probability distribution = 0.6
b) The variance of the probability distribution = 0.3
c) The standard deviation of the probability distribution = 0.5
Step-by-step explanation:
a) Data and Calculations:
number of dogs per household in a small town
Dogs Probability Expected Mean Diff Mean Diff.
Value Squared
0 0.650 0 -0.569 0.32376
1 0.216 0.216 -0.353 0.12461
2 0.087 0.174 -0.395 0.15603
3 0.026 0.078 -0.491 0.24108
4 0.014 0.056 -0.513 0.26317
5 0.009 0.045 -0.524 0.27458
The mean = 0.569 (Sum of expected value)
Variance = mean of squared differences = 0.27665 (1.38323/5)
Standard deviation = square root of variance = 0.526 = 0.5
Answer & Step-by-step explanation:
PEMDAS:
Parentheses
Exponents
Multiplication and Division left to right
Addition and Subtraction left to right
We have two forms of grouping in the expression. Do the inner-most one first, still following PEMDAS within the grouping symbol:
Simplify division:

Re-insert:

Simplify subtraction and addition within parentheses:

Re-insert:

Simplify division:

:Done
Answer:
40
Step-by-step explanation:
Plug x=-9 in. -9-8+(-9×(-8)) -15=-17+72-15=-17+72-15=40. I hope this helped!
1/350=x/182
350x=182
x=0.52 gal
Are
x= 182/350
..
0.52 gallonsa of fence = 26*7=182
Answer:
20 units³
Step-by-step explanation:
Since<em> all dimensions are being reduced by 1/3</em>, that means that the total volume will decrease by <em>1/3 * 1/3 * 1/3 = 1/27</em> the size of its original.
That means that the new volume is 1/27 * 540 = 20 units³