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nekit [7.7K]
3 years ago
5

If the probability that a student is on-time to class is 0.1 and the probability he is on-time or marked tardy on the attendance

roster is 0.9, what is the probability he will be marked tardy if the events on-time and marked tardy are mutually exclusive? If A and B are independent?
Mathematics
1 answer:
kompoz [17]3 years ago
3 0

T Tardy– Student tardy for less than 30 minute with no valid excuse. W See Unexcused Absences (above). Z Excused Tardy– Student tardy to class but with an acceptable explanation, i.e. doctor/dentist.
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Find the volume of the hemisphere below leave your answers in terms of pi
Ainat [17]

Answer:

volume of the hemisphere

\frac{2}{3}  \times \pi \times  {r}^{3}  \\  \frac{2}{3} \times \pi  \times  1331 \\  = 887.3333333333\pi

7 0
3 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
I put image because it wouldn’t let me put the emoji’s in my sentence
zysi [14]

Answer:

k12

Step-by-step explanation:

5 0
2 years ago
Which inequality describes this graph?
ZanzabumX [31]

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

  • The graph is a number line
  • The number line extends at both ends
  • The number line starts from less than -5 and ends at greater than 5
  • There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4

Read more about number line at

brainly.com/question/24644930

#SPJ1

4 0
1 year ago
The length of a rectangle is three feet less than twice its width. If x
d1i1m1o1n [39]
 So if the question says at most 30 sq ft than most likely the > is going to go this way even if it has a line that symbolizes equal or more so that kinda narrows it down to 2 and 4. The L is -3ft x 2 Id say 4. Hope I helped 
5 0
3 years ago
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