Carl is trying to determine the length of segment MN using the Pythagorean theorem. On a coordinate plane, line M N has points (negative 3, 1) and (4, negative 4).

Step 1: Find the vertex of a possible right triangle. V(4, 1)

Step 2: Find the leg lengths of the right triangle. NV = 7, MV = 5

Step 3: Substitute the values into the Pythagorean theorem. 7 squared + 5 squared = c squared

Step 4: Solve for c. 7 squared + 5 squared = c squared. 49 + 25 = c squared. 74 = c squared. StartRoot 74 EndRoot = c.

Which best describes the accuracy of Carl’s solution?

Carl’s work and answer are both entirely correct.

Carl’s answer is correct, but he incorrectly labeled the leg lengths in step 2.

Carl’s work and answer are incorrect. He choose a vertex, V, that does not make a right triangle with MN.

Carl’s work and answer are incorrect. He substituted and solved incorrectly.

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

The? half-life of a radioactive substance is 20 years. if you start with some amount of this? substance, what fraction will remain in 120 ? years

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0