Answer:
6.4 minutes ( or 6 minutes and 24 seconds)
Step-by-step explanation:
Filling up the jug means the empty space is 0, hence V = 0.
<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>

Hence it will take 6.4 minutes to fill up the jugs.
<u>Note:</u> 0.4 minutes in seconds is
seconds
Answer:
There is an 84.97% probability that at least six wear glasses.
Step-by-step explanation:
For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.
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 combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

What is the probability that at least six wear glasses?

There is an 84.97% probability that at least six wear glasses.
Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

Therefore, the population of the city in 13 years time will be:

The population be at that time will be approximately 1,474,951.
21 friends.
44 - 2x = 2, where x is the number of friends Kristin has.
Subtract 2 on each side.
42 - 2x = 0
Add 2x on each side.
42 = 2x
Divide by 2 on each side.
42 / 2 = x
21 = x
Kristin has 21 friends.
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Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

Therefore the common ratio is 6.