A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years
1 answer:
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Answer:
Step-by-step explanation:
We want to find the equation of the line tangent to the graph of:
So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:
Simplify:
We can factor out the denominator within the square root:
Simplify:
So, we can find the slope of the tangent line at <em>x</em> = 5/2. By substitution:
Evaluate:
We will also need the point at <em>x</em> = 5/2. Using our original equation, we acquire that:
So, a point is (5/2, π/6).
Finally, by using the point-slope form, we can write:
Distribute:
Isolate. Hence, our equation is:
Complete question:
A student in an introductory statistics course investigated if there is evidence that the proportion of
milk chocolate M&M's that are green differs from the proportion of dark chocolate M&M's that are
green. She purchased a bag of each variety and her data are summarized in the following table:
Milk chocolate- Green:8 Not Green: 33 Total: 41
Dark Chocolate- Green: 4 Not green: 38 Total :42
a) Define the appropriate parameter(s) for this data.nd state the hypotheses for testing if the proportion of green M&M's differs for milk chocolate and dark chocolate M&M's.
b. The p-value is 0.32. Use this p-value to make a decision about these hypotheses with an alpha of 0.05. Be sure to word your decision in the context of the problem. Include an assessment of the strength of your evidence.
Step-by-step explanation:
a. = Proportion of milk chocolate M&M 's that are green
= Proportion of dark chocolate M&M 's that are green
≠
b. This p-value provides no evidence that the proportion of green candies differs for milk chocolate and dark chocolate M&M's
Given:
The number of members in an organization since the year 2000 can be represented by the function
where, x represents the number of years after 2000.
To find:
The statement which best describes the term 5.
Solution:
We have,
It is clear that 5 is a constant because it is free from variable x.
At x=0,
It means, 5 is the initial number of members in the organization.
Therefore, there are 5 members in the organization in year 2000.