See the explanation
<h2>Explanation:</h2><h2 />Hello! Remember you have to write complete questions in order to get exact and good answers. However, I found a similar question on the internet which is attached below and want to explain it to you. Here we know that the graph is a line that passes through the points So the slope is:
<em>From the slope we know that the plant grows 1 cm every two days.</em>
<h2>Learn more:</h2>Parallel lines: brainly.com/question/12169569
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The correct question as understood from the statement is:
Determine which equations have the same solution set as 2/3 – x + 1/6 = 6x by recognizing properties, rather than solving. Check all that apply.
a) 4 - 6x + 1 = 36x
b) 5/6 - x = 6x
c) 4 - x + 1 = 6x
d) 5/6 + x = 6x
e) 5 = 30x
f) 5 = 42x
Answer:
Options: a, b and f
Step-by-step explanation:
The given equation is:
Adding x to both sides, we get:
Option a) 4 - 6x + 1 = 36x
Moving 6x to the right hand side of the equation and simplifying the answer, would give us 5 = 42x, which is the same as the second last equation in above simplification. Thus this equation has the same roots.
Option b) 5/6 - x = 6x
Moving x to other side will give us the same equation as we got in 3rd last step of the above simplification. Thus this equation has the same roots.
Option c) 4 - x + 1 = 6x
Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.
Option d) 5/6 + x = 6x
Moving x to other side, and simplifying the result gives us an equation which does not match with the equations in above simplifications. So, this equation does not have the same root.
Option e) 5 = 30x
This does not match with the second last step of the above simplification. So, this equation does not have the same root.
Option f) 5 = 42x
This equation matches with the second last step of the above simplification. Thus this equation has the same roots.
Answer:
There is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.
Step-by-step explanation:
We have to answer the population proportion for Vermont.
We can only do it by a confidence interval, as we only have information from a sample.
This sample, of size n=100, has a proportion p=0.653.
The degrees of freedom are:
We will calculate a 95% confidence interval, which for df=99 has a critical value of t of t=1.984.
The margin of error can be calculated as:
Then, the upper and lower bounds of the confidence interval are:
Then, we can say that there is 95% confidence that the population proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is between 55.9% and 74.7%.