Answer:
A. Valid
Step-by-step explanation:
The P-value is the probability of getting this result or sample statistic if the null hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.
The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.
Answer: No, she does not have enough.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.
- She need 200 centimeters of ribbon for the box.
2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

3. As you can see:
130.99 cm<200 cm
Therefore, she does not have enough ribbon.
Answer:
There are infinite number of triangles that could be achieved with those angles.
To picture this, we only have to imagine a triangle that is either smaller or bigger than the one at hand.
Tracing a series of paralell lines (which guarantee that the angles are being kept), we can draw triangles for infinite values of x,y and z.