Answer:
see below
Step-by-step explanation:
The "fundamental theorem of algebra" tells you the number of roots of a polynomial is equal to its degree. This includes real and complex roots and counts repeated roots the number of times they are repeated. (Real numbers are a subset of Complex numbers, so the choice of "complex" for this problem is appropriate.)
_____
The given quadratic can be solved using the quadratic formula:
for ax²+bx+c=0, the solutions are
... x = (-b±√(b²-4ac))/(2a)
Here, a=2, b=-4, c=-1, so ...
... x = (4 ±√(16 -4·2·(-1)))/(2·2)
... x = (2±√6)/2
Ralph would need 9 sheets of pink paper if he had 3 sheets of red paper.
The reason of this is because for every 1 piece of red paper there are 3 pieces of pink paper. So if you have 3 pieces of red paper you would do 3x3 which equals 9, and that's your answer.
Hi, your answer will be 6829.62
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383