Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Answer:
y = 5; x = 1/5
Step-by-step explanation:
xy = 1 -----> x = 1/y
xy^2 = 5 -----> 1/y * y^2 = 5
y^2 / y = 5
y = 5
5x = 1
x = 1/5
Hope this Helps!
Answer: 5.000
Step-by-step explanation:
The formula to find the standard deviation for binomial distribution is given by :-
, where p is the probability of getting success in each trial and n is the number of trials.
Given : The probability of flipping a coin and noting Heads is = 0.50
The total number of trials = 100
Then , the standard deviation of Heads to be noted will be :-

Hence, the standard deviation of Heads to be noted = 5.000
Answer:
f= 3ˣ
g= (1/3)ˣ
Step-by-step explanation:
A square has 4 sides each of X miles. Its diagonal is X times Square Root of 2.
If the diagonal is 8 miles then 8 = xSqrt(2)
x = 8/Sqrt(2)
Rationalize the Denominator, i.e. multiply by Sqrt(2)/Sqrt(2)
X = 8Sqrt(2)/2
X = 4Sqrt(2)