What is the mean of the following set of numbers? 12, 14, 2, 12
2 answers:
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Answer:
Volume of the cone =
Step-by-step explanation:
Height of the cone =
Radius of the cone =
Volume of a cone is:
As,
Volume is:
The volume of the cone is:
Answer:
a) 0.2725
b) 0.7275
c) 0.8948
Step-by-step explanation:
This is a binomial distribution probability problem. The formula is:
Where
n is the number of trials [here we are taking 8 person, so n = 8]
x is what we are looking for [in the problem]
p is the probability of success [ 15%, so p = 0.15
q is the probability of failure [q = 1-p = 0.85]
Now,
a)
We are looking for "no one" did fling, so x = 0
Let's put into formula and find out the probability:
So, the probability that no one has done a one-time fling is 0.2725
b)
Atleast 1 person means P(x ≥ 1).
This can be found by:
P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275
THus, Probability that at least one person has done a one-time fling is 0.7275
c)
No more than 2 people means P (x≤2).
This is essentially
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)
P ( x = 0 ) is found in part (a), which is 0.2725
P (x = 1 ) and P(x=2) can be found using formula:
and
Thus,
P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948
Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it
Step-by-step explanation:
The question in english is:
A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?
We know 1 gallon is equal to 3.78 liters:
In addition, we are told you have filled the gallon with at a rate of
.
So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the to the total amount of a gallon:
This is the amount you need to complete the gallon
On the other hand, the rate is defined as:
Isolating :
Then, if we input the we need to fill the gallon we will have the time:
This is the time you need to fill the gallon