Step-by-step explanation:
a general line equation is
y = ax + b
the original line is
y = 3/5 x + 10
the factor of x is always the slope (inclination of the line).
it is "y change/x change".
the slope of a perpendicular line (angle of 90°) is turning the slope of the original line upside-down and flips the sign.
so, it is -5/3.
we use the point information to get the right "b" for our new line :
-5 = -5/3 × 15 + b
-5 = -5×5 + b
-5 = -25 + b
b = 20
so, the perpendicular line equation going through (15, -5) is
y = -5/3 x + 20
650 letter permutations * 5040 numbers permutations = total licence number possible = 3,276,000
Answer:
-4>-12
9>-35
Step-by-step explanation:
Answer:
0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 14%
Standard Deviation, σ = 2.5%
We are given that the distribution of water content of soil is a bell shaped distribution that is a normal distribution.
Formula:

P(water content above 16% or below 12%)
= 1 - P(water content between 12% and 16%)

0.424 is the probability that a sample taken from the site will have a water content above 16% or below 12%.