The answer is 3_4/11. The "_" indicates it's not the same number. So you don't get confused.
When repeating, you put a 99. Not 100. So, this will be 36/99. Now, you simplify. Also add the 3. You then get 3_4/11.
Proof:
x=0.6...
10x=6.6...
-x=0.6...
9x=6
x=2/3
2/3=0.6...
<h2>
Answer:</h2>
We have:
and
<h2>
Step-by-step explanation:</h2>
We are given a function H(θ) by:
Now, we are asked to find the first and second derivative of the function H(θ)
Now,
Also, the second derivative is calculate by:
Answer:
BD = 14
Step-by-step explanation:
Using Pythagoras' identity on Δ's ADC and ABC
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, thus
BC² + 12² = 15²
BC² + 144 = 225 ( subtract 144 from both sides )
BC² = 81 ( take the square root of both sides )
BC = = 9
and
DC² + 12² = 13²
DC² + 144 = 169 ( subtract 144 from both sides )
DC² = 25 ( take the square root of both sides )
DC = = 5
Hence
BD = BC + DC = 9 + 5 = 14
Answer:
Step-by-step explanation:
Given that:
Total Number of fourth downs = 10
Number of fourth downs converted to first downs = 6
Formula for probability of an event E can be observed as:
Here, Let E be the event of getting a fourth down converted to first down.
So, Number of favorable cases = 6
Total Number of cases = 10
Therefore, the required probability is: