A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable
1 answer:
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whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5
and whatever the concentrated quantity is in each, they must add up to (5)(0.14)
notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something
thus
solve for "x", to see how much of the 15% juice will be needed
what about "y"? well, y = 5 - x
Answer:
a) 0.1423
b) 0.2977
c) 0.56
Step-by-step explanation:
For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So 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 combinations 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:
13 percent of the drivers stopped for speeding have invalid licenses.
This means that
14 drivers are stopped
This means that
(a) None will have an invalid license.
This is
(b) Exactly one will have an invalid license.
This is
(c) At least 2 will have invalid licenses.
Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is
We want
So
In which