Answer:
It is sufficient to prove that 
Step-by-step explanation:
The propositions 
being equivalent means they should always have the same truth value. If one of them is true, then all of them must be true. And if one of them is false, then all of them must be false.
Suppose we've proven that (call these first, second and third implications).
If 
was true, then by the first implication that we proved, it would follow that 
is also true. And then by the second implication that we prove it would follow then that 
is also true. Therefore the three of them would be true. Notice the reasoning would have been the same if we had started assuming that the one that was true was either 
. So one of them being true makes all of them be true.
On the other hand, if was false, then by the third implication that we proved, it would follow that 
has to be false (otherwise would have to be true, which would be a contradiction). And then, since is false, by the second implication that we proved it would follow that 
is false (otherwise 
would have to be true, which would be a contradiction). Therefore the three of them would be false. Notice the reasoning would have been the same if we had started assuming that the one that was false was either . So one of them being false makes all of them be false.
So, the three propositions always have the same truth value, and so they're all equivalent.
Answer: Here you go hope this helps
If a line is drawn through (twenty, seventy) and (twenty-five, sixty), then you can use the points in getting the equation.
Slope is = (60-70)/(25-20) = -2
Using the two-point slope form, y – y1 = m(x – x1)
y – 70 = -2(x – 20)
y – 70 = -2x + 40
y = -2x + 110
Step-by-step explanation:
........................................d
The purpose of statistical inference population based upon information obtained from the sample.
<h3>What is statistical inference?</h3>
statistical inference uses sample data to make estimates of or draw conclusions about one or more characteristics of a population.
The purpose of statistical inference is to estimate this sample to sample variation or uncertainty. Understanding how much our results may differ if we did the study again, or how uncertain our findings are, allows us to take this uncertainty into account when drawing conclusions. It allows us to provide a plausible range of values for the true value of something in the population, such as the mean, or size of an effect, and it allows us to make statements about whether our study provides evidence to reject a hypothesis.
We have four ideas for using the statistical inference.
1. Estimating uncertainty.
2. Confidence intervals.
3. Hypothesis tests.
4. Connections with other material.
To learn more about statistical inference from the given link:
brainly.com/question/20038845
The given question is not complete.
The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.
#SPJ4
Answer:
third and fourth option
Step-by-step explanation:
volume of rectangular prism = length*width*height
=7.5 * 2 * 4.2
= 63 cm^3
