Answer:
The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;
C. A linear regression t-test for slope
Step-by-step explanation:
The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;
Y = B₀ + B₁·X
The test is used to test the regression line slope where we have;
B₀ = The constant
B₁ = The slope also known as the regression coefficient
The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.
Therefore, we have
Y = B₀ + B₁·X
Where;
X = The percentage of peaches in the ice cream
Y = The density of the ice cream
14 - 2x = 4a - 16
First, add 2a to both sides. / Your problem should look like:
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like:
Third, add 16 to both sides. / Your problem should look like:
Fourth, add 14 + 16 to get 30. / Your problem should look like:
Fifth, divide both sides by 6. / Your problem should look like:
Sixth, 6 goes into 5 to get 30, so simplify

to 5. / Your problem should look like:
Seventh, switch your sides. / Your problem should look like:

Answer:
a = 5
A line segment is a line between its endpoints.
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