We are asked to solve for:
P (sand | positive)
So, we solve this by:
P (sand | positive) = P (sand) x P (positive for sand)
P (sand | positive) = 0.26 (0.75)
P (sand | positive) = 0.195
The probability is 0.195 or 19.5%.
Answer:
Step-by-step explanation:
It is not perfectly linear because the difference between the y values is not constant. However, when you use the regression function on your calculator and enter the L1 values as your x's and the L2 values as your y's and use the LinReg equation, you get an r-squared value of .999900 and an r value of .999950. So it linear, with your answer being "linear, because the r value for the linear model is closest to 1".
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Answer:

Step-by-step explanation:
<u>Differentiation</u>
We have a relationship between x and y as follows:

Both variables depend on time t for t≥0.
Differentiating with respect to time:

Applying the derivative of a power function:

Recall the derivative of a constant is 0.
Dividing by 2:

Solving for y':

At some specific time, we have:
x=3, y=4, dx/dt = x' = 6. Substituting:

Operating:

Simplifying:

Answer:
2:1 that is 2 inches in real life is equal to 1 inch in the drawing.
Step-by-step explanation:
We are given the following in the question:
Longest side of the pool = 10 inches
Longest side of the pool in drawing = 5 inches
Scale:
We find the ratio of the real length of pool and the measurement of the length of the pool in the drawing.

Thus, we can say Paco's new drawing follows a scale of 2:1 that is 2 inches in real life is equal to 1 inch in the drawing.