Answer:
19.35% probability that five will have completed four years of college
Step-by-step explanation:
For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
28% of individuals
This means that 
For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?
This is P(X = 5) when n = 15. So
19.35% probability that five will have completed four years of college
Answer:
$25.00
Step-by-step explanation:
You already know that $85 is an additional fee added to the monthly fees.
So, you first have to subtract 85 from $685 to get the total amount of monthly fees paid over 2 years.
685-85= 600
So, you can conclude that $600 is the total amount of monthly fees paid.
Now, you want to divide 600 by (the number of months in 2 years) to get the amount of monthly fees.
Since there is 24 months in 2 years you do:
600/ 24 which equals 25.
In conclusion, you can find that the monthly fee is $25.00.
Answer:
3053.63 cm^3
Step-by-step explanation:
Volumme of a sphere = 
We do not have the radius of the sphere, but we have its diameter.
We know that there is a relationship between radius and diameter.
Then the formula of the volume of a sphere according to its diameter is:
<h3>
Answer: C) 2.47 cm</h3>
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Explanation:
We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay
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The volume of a cone is
V = (1/3)*pi*r^2*h
Solving for h gets us
3V = pi*r^2*h
(3V)/(pi*r^2) = h
h = (3V)/(pi*r^2)
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The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.
We'll plug this radius in, along with V = 4.05 and pi = 3.14
h = (3V)/(pi*r^2)
h = (3*4.05)/(3.14*(1.25)^2)
h = 2.4764
This value is approximate. Rounding down to the nearest hundredth gets us 2.47
We round down because rounding up to 2.48 will lead to a volume larger than 4.05
