Answer:
Estimation is a mental process of coming up with an answer that is relatively close, to allow decisions to be made. The types of estimation are quantity, computation and measurement.
An estimation strategy is simply coming up with a good estimate based on evidence and already known facts. Coming to a conclusion as close to the real answer as you can. It can also be called an educated guess.
We have 3⁴ = 81, so we can factorize this as a difference of squares twice:
Depending on the precise definition of "completely" in this context, you can go a bit further and factorize as yet another difference of squares:
And if you're working over the field of complex numbers, you can go even further. For instance,
But I think you'd be fine stopping at the first result,
Answer:
Step-by-step explanation:
we have given x'=(24-16)x=8x
x' denotes the differenation
differentiation is performed with respect to t
by variable separable method we can write
on integrating both side
(property of log )
so the solution for x will be
Answer:
The probability mass function is expressed as:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
Step-by-step explanation:
This is not a binomial distribution. It is actually a negative binomial distribution. The probability mass function is expressed below:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
where:
x = number of failures
r-1 = number of successes (10 in this scenario)
p = probability of a success
nCr = n!/[r!(n-r)!]
The main formula difference in the positive binomial versus negative binomial is this: With respect to the negative binomial, it is obviously known that the last event will be: when we reach our 10th "head", we stop .
Thus, the last flip will ALWAYS be a "head".
We are given parabola equation y=x^2-10x+30.
We need to convert it in vertex form y= a(x-h)^2+k.
We need to find the value of a, h and k to get the vertex form.
For the given equation y=x^2-10x+30, the coefficient of x^2 is 1.
Therefore, a=1.
Now, let us find values of h and k.
h = -b/2a.
h = -(-10)/2(1) = 5.
Plugging x=5 in given equation to get the value of k.
y= x^2-10x+30 => (5)^2 -10(5) +30 = 25 -50 +30 = 5.
Therefore, k =5.
Therefore, vertex (h,k) = (5,5).
<h3>So, the vertex form is </h3>