Step-by-step explanation:
the answer is in the above image
<h3>
Answer:</h3>
12 units²
<h3>
Step-by-step explanation:</h3>
Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is
... (1/2)·10 +7 = 12 square units
_____
<em>Alternate calculation</em>
The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...
.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units
Answer:
1) 
2) 49.225
3) 
Step-by-step explanation:
1) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:

2) To find the variance of the expected values we can use the equation:

So for our problem will be:



3) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:

Answer:
-9x^9y^5
Step-by-step explanation:
Do the multiply first:
-16x^9y^5+7x^9y^5
=x^9y^5(-16+7)
=-9x^9y^5