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amid [387]
3 years ago
6

The yearbook club surveyed 200 students about the number of courses in which they were enrolled and the length of time it took t

o get to school each day. Classify the random variables from
the survey (4 points)
O Number of courses, discrete; travel time to school, discrete
Number of courses, discrete; travel time to school, continuous
Number of courses, continuous; travel time to school, discrete
Number of courses, continuous; travel time to school, continuous
Unable to determine from information given
Advanced Placement (AP)
1 answer:
muminat3 years ago
6 0

Answer:

B) Number of courses, discrete; travel time to school, continuous

Explanation:

Discrete values are countable, Continuous values are measureable. Length of time is measureable, an amount of classes is counted.

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I can’t figure this problem out
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Answer:

Explanation:

Alright so the way to do this is to use properties of integrals to make our life easier.

So we have:

\int\limits^4_1 {(3f(x)+2)} \, dx

So lets break this up into two different integrals that represent the same area.

\int\limits^4_0 {f(x)} \, dx - \int\limits^1_0 {f(x)} \, dx = \int\limits^4_1 {f(x)} \, dx

Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:

\int\limits^4_1 {f(x)} \, dx

But since we have these values we can say that:

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Which means that \int\limits^4_1 {f(x)} \, dx = -5

So now we can evaluate \int\limits^4_1 {(3f(x)+2)} \, dx

Lets first break up our integrand into two integrals

\int\limits^4_1 {(3f(x)+2)} \, dx = 3\int\limits^4_1{f(x)} \, dx + 2\int\limits^4_1 {} \, dx

Now we can evaluate this:

We know that \int\limits^4_1 {f(x)} \, dx = -5

So:

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Explanation:

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