We have expression 
that renders the system of inequalities,
Which can be simplified to,
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
![x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}](https://tex.z-dn.net/?f=x%5Cin%28%5Cinfty%2C-1%29%5Ccap%28%5Cinfty%2C%205%5D%3D%5Cboxed%7B%28%5Cinfty%2C5%5D%7D)
.
Hope this helps.
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring.
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:
The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
Answer:
Yes, because it is a ratio, it is a proportional relationship.
Answer:
12 number for theanswer of that question answer
The critical values for a 90% confidence interval are approximately
, so the confidence interval in this case is roughly
