Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
Answer:
7.5 hours
Step-by-step explanation:
We can model an equation for this problem.
We can write:
Where
F is the final temperature (15 degrees we need)
m is the rate of temperature change (2 degrees per hour)
and
t is the time, in hours, it will take (we need to find this)
It is given,
F = 15
m = 2
So, t would be:
F = mt
15 = 2t
t = 15/2 = 7.5
So it will take 7.5 hours
Answer:
a) 0.222
b)0.037
c)0.549
Step-by-step explanation:
Let's start defining the random variable ⇒
X : ''The number of missing pulses''
X can be modeled as a Poisson random variable.
X ~ Po(λ)
In a Poisson distribution : μ = λ
Where μ is the mean of the variable.
X ~ Po(0.3)
The probability function for a Poisson random variable is :
In the equation I replace λ = m
Where P(X=x) is the probability of the random variable X to assume the value x
e is the euler number
m = λ is the mean of the variable
In this exercise :
is the probability function.
For a)
For b)
c)
Let's define A :''a disk doesn't contain a missing pulse''
We are looking for P(A1∩A2) of two different disk don't have a missing pulse.
Because of the independence we can write this probability as
P(A1∩A2)= P(A1).P(A2)
The probability of a random disk to don't have a missing pulse is P(X=0)
⇒