Let x and y be the 2 numbers
x + y = 10
x*y = 24
------------
4 and 6
The set is linearly dependent.
To explicitly prove this, we need to show there is at least one choice of constants 
such that
or equivalently,
which is the same as solving the system of equations
From the first and last equations, we have 
and 
. Substituting these into the second equation leaves us with 
, and so the overall solution set is
for which there are infinitely many not-all-zero solutions.
There is a probability of 22.66% that their average catch is less than 31.5 pounds
<h3>What is
z score?</h3>
The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
Find out more on z score at: brainly.com/question/25638875
Ee a solution process below:
Explanation:
The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y
−
−
1
)
=
−
3
(
x
−
2
)
(
y
+
1
)
=
−
3
(
x
−
2
)
