Question

what is the distance, in units, between points l and m on the coordinate plane?
write your answer in the box.

1. sports fans were asked to name their favorite team sport to watch from three choices.

choose yes or no to tell whether each sentence is true.
a. men are about as likely as women to prefer baseball. ◎yes ◎nob. nearly half of people surveyed like basketball the most. ◎yes ◎noc. men like the three sports more than women do. ◎yes ◎nod. most women prefer baseball over either of the other sports. ◎yes ◎no

Explanation:

Question 15 (Distance between L and M)

Step1: Find coordinates of L and M

From the grid, point L is at \((-4, 7)\) and point M is at \((8, -9)\).

Step2: Use distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Substitute \(x_1 = -4\), \(y_1 = 7\), \(x_2 = 8\), \(y_2 = -9\):
\(d = \sqrt{(8 - (-4))^2 + (-9 - 7)^2}\)
\(d = \sqrt{(12)^2 + (-16)^2}\)
\(d = \sqrt{144 + 256}\)
\(d = \sqrt{400}\)
\(d = 20\)

Probability men prefer baseball: \(\frac{12}{50} = 0.24\). Probability women prefer baseball: \(\frac{8}{30} \approx 0.267\). These are close, so "Yes".

Total surveyed: 80. Basketball total: 36. \(\frac{36}{80} = 0.45\), which is nearly half. So "Yes".

Answer:

20

Question 16 (Sports Survey)

Part a