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kotegsom [21]
2 years ago
9

There are 12 jurors sitting in a circle. A crazed gunman comes in, but has only 11 bullets. He shoots a juror, then skips a livi

ng juror. He continues this process until only 1 juror remains alive. Which juror remains alive? Consider the same scenario with 1050 jurors and 1049 bullets. Generalize.
Mathematics
1 answer:
matrenka [14]2 years ago
6 0
The juror which he skips (the living juror) remains alive
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A computer program contains one error. In order to find the error, we split the program into 6 blocks and test two of them, sele
Aleksandr-060686 [28]
There are \dbinom62 ways of selecting two of the six blocks at random. The probability that one of them contains an error is

\dfrac{\dbinom11\dbinom51}{\dbinom62}=\dfrac5{15}=\dfrac13

So X has probability mass function

f_X(x)=\begin{cases}\dfrac13&\text{for }x=1\\\\\dfrac23&\text{for }x=0\end{cases}

These are the only two cases since there is only one error known to exist in the code; any two blocks of code chosen at random must either contain the error or not.

The expected value of finding an error is then

\displaystyle\sum_{x=0}^1xf_X(x)=0\times\dfrac23+1\times\dfrac13=\dfrac13
7 0
2 years ago
A 6-kg bag of fertilizer covers a rectangular area of 2.5 m by 5.0 m.
Naily [24]

Answer

Given,

Mass of bag = 6 Kg

Area covered by the bag = 2.5 x 5 = 12.5 m²

a) Bags required to cover area = 7.5 x 10.2

                                                    = 76.5 m²

 Number of bags, N = \dfrac{76.5}{12.5}

                               N = 6.12 = 7 (approx.)

7 Bags of 6 Kg fertilizers will be needed to cover the area.

b) Cost of 6 Kg fertilizers = $15.50

  Cost of 7 bags of 6 Kg fertilizers = 7 x $15.50

                                                         = $108.50.

8 0
2 years ago
Sully is a vocalist in a rock band. The table provided shows the number of tracks his band records and the respective number of
Alina [70]

Answer:

C

Step-by-step explanation:

The rate of change here will be the difference in the number of tracks divided by the difference in the number of albums.

Let's pick two random rows (it doesn't matter which two because they will produce the same result): (2, 16) and (4, 32).

The rate of change is: \frac{32-16}{4-2} =\frac{16}{2} =8

The answer is thus C.

6 0
2 years ago
Read 2 more answers
The table shows the relationship between time spent running and distance traveled. A 2-column table with 5 rows. The first colum
user100 [1]

Answer:

Step-by-step explanation:

It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".

4 0
2 years ago
What is m? 49° 77° 98° 161°
Mariana [72]

we know that

The measurement of <u>the external angle</u> is the semi-difference of the arcs it includes.

In this problem

21\°=\frac{1}{2}[arc\ RU-arc\ SU]

Solve for the measure of arc SU

42\°=[arc\ RU-arc\ SU]

arc\ SU=arc\ RU-42\°

arc\ SU=119\°-42\°=77\°

therefore

the answer is

The measure of the arc SU is 77\°

4 0
2 years ago
Read 2 more answers
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