Select the polynomial that is a perfect square trinomial.
2 answers:
Answer:
Option D. It's a perfect square trinomial.
Step-by-step explanation:
(a) 36x² - 4x + 16
= (6x)² - 2(2x) + (4)²
It's not a perfect square trinomial
(b) 16x² - 8x + 36
= (4x)² - 2x(4x) + (6)²
It's not a perfect square trinomial
(c) 25x² + 9x + 4
= (5x)² + 2 + (2)²
It's not a perfect square trinomial
(d) 4x² + 20x + 25
= (2x)² + 2(10x) + (5)²
= (2x+5)²
It's a perfect square trinomial.
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Answer:
(a) The probability that the members of the committee are chosen from all nationalities =0.1212.
(b)The probability that all nationalities except Italian are represent is 0.04848.
Step-by-step explanation:
Hypergeometric Distribution:
Let ,
,
and
be four given positive integers and let
.
A random variable X is said to have hypergeometric distribution with parameter ,
,
,
and n.
The probability mass function
Here
Given that, a foreign club is made of 2 Canadian members, 3 Japanese members, 5 Italian members and 2 Germans members.
=2,
=3,
=5 and
=2.
A committee is made of 4 member.
N=4
(a)
We need to find out the probability that the members of the committee are chosen from all nationalities.
=1,
=1,
=1 ,
=1, n=4
The required probability is
=0.1212
(b)
Now we find out the probability that all nationalities except Italian.
So, we need to find out,
=0.04848
The probability that all nationalities except Italian are represent is 0.04848.