Answer:
y = x³ - 3x² - x + 3
Step-by-step explanation:
Given the zeros x = - 1, x = 1 and x = 3 then
(x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence
y = a(x - 1)(x + 1)(x - 3) ← a is a multiplier
let a = 1 and expand the factors
y = (x² - 1)(x - 3)
= x³ - x - 3x² + 3
= x³ - 3x² - x + 3 ← in standard form
Answer:
The probability of the number of starfish dropping below 3 is 0.0463.
Step-by-step explanation:
Let X represent the number of starfish in the tide pool.
X follows a Poisson distribution with mean 6.4.
The formula for Poisson distribution is as follows.
![P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20e%5E%7B-6.4%7D%20%2A%20%5B6.4%5E%7Bx%7D%20%2F%20x%21%5D%20when%20x%20%3D%200%2C%201%2C%20...)
otherwise
We need to find the probability that the number of starfish in the tide pool drops below 3.
Therefore, the required probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)
P(X < 3) = 0.00166 + 0.01063 + 0.03403
P (X < 3) = 0.0463
Answer:
answer b
step - by - step explanation
- Hotel A. per night charge is 64 $
- Hotel B. per night charge is 60$
- Hotel c. per night charge is 65$
The answer is 12/100. This is because the 12 is a 100 decimal place.
The minimum value for g(x)=x² - 10x + 16 is -9
<h3>How to determine the minimum value?</h3>
The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
Read more about quadratic functions at:
brainly.com/question/7784687
