A. a 90 degree counterclockwise rotation about the origin
We can write this as:-
P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.
P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.
125 is a multiple of 5 so By rational root theorem 5 could be a positive root.
P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0
x = 5,-5
so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero
9514 1404 393
Answer:
512 million
Step-by-step explanation:
Expected value is the sum of the products of probability and the value associated with that probability. Here, it is the sum ...
0.4(390) +0.4(890) +0.2(0) = 512 . . . million
The expected value of the loss over a 5-year period is $512 million.
Answer:
Step-by-step explanation:
Given
The attached table
Required
Expected number of Daffodil when N = 150
First, we calculate the probability of having a Daffodil.
This gives:
Simplify
When there are 150 flowers, the prediction of Daffodils is:
-6x+-4x=-50
-10x=-50
-10(5)=-50
x=5
