Ŷ<span> “y-hat” = predicted average y value for a given x, found by using the regression equation.
</span>p̂ “p-hat” -----> <span>proportion
</span>I can't type y-bar but its a straight line on the top of letter y.
Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.
Step-by-step explanation:
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
More can be learned about linear functions at brainly.com/question/24808124
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Function number one , the graphing seems good
Answer:
The arc length of the semicircle is
or 
Step-by-step explanation:
The complete question in the attached figure
we know that
The circumference of a semicircle is given by the formula

where
D is the diameter of the semicircle
we have

substitute

----> exact value
Assume

----> approximate value
therefore
The arc length of the semicircle is
or 