Answer:
An irrational decimal is a decimal that cannot be written in fraction form
Ex: Pi or any decimal that keeps going and doesn't repeat
Step-by-step explanation:
I would give you more examples but they are all really long numbers and go on forever.
Answer:
the answer is 12
Step-by-step explanation:
since the triangle is equilateral meaning all side of ABC is equal to each other AB= BC = AC= 8cm and MN is the middle line that divides AB and BC by two
thus, MB =BN= 4 cm. MN is the middle line thus will also be equal to the half of AC meaning MN=AC/2= 4cm. and perimeter is MBN = MN+MB+BN= 4cm+4cm+4cm =12cm
The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got: