To calculate the standard deviation of those numbers:<span>
1
Work out the Mean (the simple average of the numbers)
2
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.<span>Take the square root of that and we are done!</span></span>
We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
Answer:
133,784,560
Step-by-step explanation:
using the combinations formula: n!/(n-r!)r!, the equation would be 52!/52-7! x 7! which is simplified to 52!/45!7! which is equal to 133,784,560
Answer:
Yes, the expressions are equivalent.
Step-by-step explanation:
Notice that -2 is defined as in additive inverse of 2, that is, 2 + -2 = 0.
and substracting 2 from 2 is also equal to zero, that is, 2 - 2 = 0.
Thus 2-2 = 2+ -2, implying -2 = + -2. Consequently, -5 + -2 = -5 -2
