Answer:
2 x 4 x 8 = 64
Step-by-step explanation:
Multiply all given lengths when finding the volume of a rectangular prism.
Answer:
1.0.008
2. 0.0307
3. 12
Step-by-step explanation:
Probability p=0.2
Given that x + k = 3 and k = 3 hence x=0 where k is sales and x is successful visits
1
Required probability =P(x=0)
Using negative binomial distribution
=
=
2 ) Here , Given that , x + k = 5 and k = 3 hence x=5-3=2
Required probability =P(X=2)
Using negative binomial distribution
=
3 ) Given : k = 3 p = 0.2 q = 1 - p = 1 - 0.2 = 0.8
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both and are factors of f(x), and furthermore, their product, , is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that
I'll go through to steps to factor that second expression below:
Solving both of the expressions when f(x) = 0 gets us our final two zeroes:
So, the remaining zeroes are 1/2 and 3.