the numbers below represent 10 trials of a simulation 2632, 1365,9367,2056, 0026, 6564, 1434, 8045, 4781, 8681 the numbers 0-7 represent students who watched television last night and 8 and 9 represent students who did not. based on the simulated data, what was the probability that exactly 2 out groups out of 4 randomly selected watched television last night show with work

  1/10

Step-by-step explanation:

Apparently, a "trial" is a representation of a sample of 4 students. If the digits in that sample are 8 or 9, the students did not watch television. We can revise each of the trials by changing digits 0-7 to W, and digits 8-9 to N. (W = watched TV; N = did not watch TV.)

Now, the 10 trials are ...

  , , , ,

  , , , NWWW, WWNW, NWNW

Of the 10 trials, 1 trial had the result that exactly 2 of the 4 watched TV.

The probability that exactly 2 of 4 watched TV is about 1/10 = 10%.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

step-by-step explanation:

the answer is 89 d

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