Answer:

Step-by-step explanation:
Notice that in the second equation, the coefficient of
is
times greater than in the first. Therefore, by making the coefficient of
in the second equation
times greater than in the first, it's impossible to only isolate one variable.
Therefore, when
, there are no solutions to this system.
Answer:
Step-by-step explanation:
Given that a fair coin is flipped twelve times.
It means the number of possible sequences of heads and tails would be:
2¹² = 4096
We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

Plug in n = 12 and r = 9


∵ 
∵ 

Thus, the probability will be:



Thus, the probability of the coin landing tails up exactly nine times will be:
Answer:
Mean = 0.2(100) = 20
Variance = 0.2×0.8×100 = 16
Standard deviation = 4
Yes, np > 5 & nq > 5
Answer:
x=41
Step-by-step explanation:
The answer is in the picture below I used the square rooting method hope this is the answer you need!