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RSB [31]
11 months ago
5

For each variable, determine whether it is best thought of as discrete or continuous.Variable(a) The fuel efficiency, in miles p

er gallon, of an American-made car(b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana(c) In an experimental study, the participant's estimate for the height of a 3-meter imageprojected 12 meters away(d) The highest grade level (1st, 2nd, or 3rd) completed by a high-school dropout
Mathematics
1 answer:
svetoff [14.1K]11 months ago
8 0

A Discrete variable is countable in a finite amount of time while a Continous variable is uncountable in a finite amount of time.

Therefore, grouping the variables into Discrete and Continous, we have:

a) The fuel efficiency, in miles per gallon, of an American-made car >>> Continous variable.

b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana >>>Discrete variable.

c) In an experimental study, the participant's estimate for the height of a 3-meter image >>> Continous variable.

d) The highest grade level (1st, 2nd, or 3rd) completed by a high-school dropout >>> Discrete variable

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Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

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From ΔBCO tan80 = \frac{h}{x} = 5.67

h = 5.67x

Now h = 5.67x = 2.14(45-x)

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x = 96.3/7.81 = 12.33 ft

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