We have to choose the correct answer and to show what is 64 x^12 - 1,000 written as a difference of cubes.
64 = 4^3
x^12 = ( x^4 )^3
1,000 = 10^3
Finally:
64 x^12 - 1,000 = ( 4 x^4 )^3 - 10^3
Answer:
C ) ( 4 x^4 )^3 - 10^3
I suspect you meant
"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"
• Count the multiples of 10:
⌊100/10⌋ = ⌊10⌋ = 10
• Count the multiples of 7:
⌊100/7⌋ ≈ ⌊14.2857⌋ = 14
• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and
⌊100/70⌋ ≈ ⌊1.42857⌋ = 1
(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)
Then using the inclusion/exclusion principle, there are
10 + 14 - 1 = 23
numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.
Answer:
12.5
Step-by-step explanation:
use a calculator and don't waste your coins
Answer: 741
Step-by-step explanation:
As per given ,we have
The prior estimate of population proportion: 
Margin or error : 2.5%=0.025
Critical value for 95% confidence = 
Formula to find the sample size :-
i.e. 
Hence, the minimum sample size required to obtain this type of accuracy= 741
For the answer to the question above asking w<span>hy do we need to integrate probabilities in statistics?
Well, i</span>ntegration is used very very often in theoretical statistics. Transformation relates to the result that data values that are modelled as being random variables from any given continuous distribution can be converted to random variables having a standard uniform distribution. So, we need to see other possibilities by combining<span> (one thing) with another.</span>
