What number has the same value as 14 tens
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The proportion of sophomores that do not own a car is equal to 0.93.
<h3>What is ratio?</h3>Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
The proportion of sophomores that do not own a car is given by:
- Number of sophomores that do not own a car = 398.
- Total number of sophomores = 427
Therefore, proportion = 398/427 = 0.93.
The proportion of all students who are seniors who own cars is given by:
- Number of seniors who own cars = 123
- Total number of students = 1192
Therefore, proportion = 123/1192 = 0.10.
The proportion of non-car owners who are juniors is given by:
- Number of juniors who are non-car owners = 339
- Total number of students that do not own a car = 976.
Therefore, proportion = 339/976 = 0.35.
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<u>Complete Question:</u>
At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.
The proportion of sophomores that do not own a car is?
The proportion of all students who are seniors who own cars is?
The proportion of non-car owners who are juniors is?
1. I suppose the ODE is supposed to be
Solving for gives
which is undefined when . The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives
Integrate both sides. On the left, we have
where we substituted - or
- and
- or
.
On the right, we have
So
I'll leave the solution in this form for now to make solving for easier. Given that
, we get
and so our solution is