Answer:
56.5 ft
Step-by-step explanation:
Here we know that:
- Keisha swims 18 feet from one side of her circular pool to the other swimming straight through the center --> this means that the diameter of the swimming pool is 18 feet, so
d = 18 ft
- Then, she swims one time around the entire edge of her swimming pool. --> this means that she swims along the perimeter of the swimming pool
The perimeter of a circle is given by
where d is the diameter. Therefore in this case, the length of Keisha's second swim is:
The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77
<h3>The scatter plot that represents the table</h3>
See attachment for the required scatter plot
<h3>The best model of the scatter plot</h3>
From the attached scatter plot, we can see that the points are almost on a straight line
Hence, the best model that fits the scatter plot is a linear model
<h3>The equation of the regression model</h3>
Using a graphing calculator, we have the following calculation summary:
- Sum of x = 28
- Sum of y = 12.1
- Mean X = 4
- Mean Y = 1.7286
- Sum of squares (SSX) = 28
- Sum of products (SP) = 6.7
- b = SP/SSX = 6.7/28 = 0.23929
- a = MY - bMX = 1.73 - (0.24*4) = 0.77143
The regression equation is represented as:
y = bx + a
So, we have:
y = 0.23929x + 0.77143
Approximate
y = 0.24x + 0.77
Hence, the equation of the regression model is y = 0.24x + 0.77
Read more about regression models at:
brainly.com/question/13345245
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Using the probability concept, it is found that there is a 
probability that a teenager selected at random is female and their favorite hobby is watching films.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem:
- There is a total of 32 teenagers.
- Of those, 8 are female with a favorite hobby of watching films.
Hence:
probability that a teenager selected at random is female and their favorite hobby is watching films.
You can learn more about the probability concept at brainly.com/question/15536019
