Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
x = 3
Step-by-step explanation:
So if we plug in 3 to 7+x+(-10), it simplifys to
7+3+(-10)
10+(-10)
10-10 = 0
x=3
Given that half of the personal music players sold by a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 20% fail in the first six months.
Let A be the event that it fails in I 6 months
B1 = it has a flaw
B2 = it does not have a flaw
B1 and B2 are mutually exclusive and exhaustive
the chances that it has this flaw
=The probability that it has the flaw is
Answer:
58.8
Step-by-step explanation:
basic facts:
-15.4% is the same as 15.4/100
- the word 'of' in maths means times
so 15.4% of the 382ml is the same as
382*15.4/100
to do that, you multiply 382 by 15.4 = 5882.8
then you divide that by 100= 58.828
and then you just round that of to 58.8
<span>The area in the right tail more extreme than z= 3.01 in a standard normal distribution is given by
P(z > 3.01) = 1 - P(z < 3.01) = 1 - 0.99869 = 0.00131
</span>
