OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:
16, 19, 43; no
16, 19, 50; no
16, 43, 50; yes
19, 43, 50; yes
Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.
Answer:
5
Step-by-step explanation:
xy-5
plug in 5 for x and 2 for y
5*2-5
multiply
10-5
subtract
5
Answer:
1/6
Step-by-step explanation:
1/2 + 1/3 = 5/6
1/5 of 5/6 = 5/30
5/30 can be simplified as 1/6.
Dividing is changed to multiplication by inverting the second fraction. So:
Answer: 0.4758
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Also, the new population of pilots has normally distributed .
The formula to calculate the z-score :-
For x=130 lb .
For x=171lb.
The p-value =
Hence, the required probability : 0.4758
