The probability that the aircraft is overloaded is 0.6141; since this is a greater than 50% chance, the pilot should either reduce the number of passengers on the plane or require them to reduce their baggage.
The z-score for this is given by
z = (X-μ)/σ = (169-180.2)/38 = -11.2/38 = -0.29.
Using a z-table (http://www.z-table.com) we see that the probability of weights being less than this (the area to the left of this score) is 0.3859; to find the probability that the weight is greater than this (to the right), we subtract from 1:
1-0.3859 = 0.6141.
Answer:

Step by step explanation:
We can solve this situation by using proportions for similar right triangles:

Substitute and solve for x:
Answer:
A.
Step-by-step explanation:
Perpendicular => so it will have a slope of negative reciprocal to this slope
Slope = 2/3
Now
Point = (x,y) = (6,5)
So,
x = 6, y = 5
Substituting in the slope intercept form
5 = (2/3)(6)+b
5 = 4+b
=> b = 1
So, we have
m = 2/3
b = 1
Putting in the slope intercept equation
y = 2/3x+1
You have 100 yen if you have a dollar or one hundred = 1000 yen