Solution: The formula for mean is:
Where:
is the sum of given observations
is the number of observations
rounded to two decimal places
To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.
Therefore, the median is:
Therefore, the median = 1.53
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line =
m =
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
Answer:
Part 1) The function of the First graph is
Part 2) The function of the Second graph is
Part 3) The function of the Third graph is
See the attached figure
Step-by-step explanation:
we know that
The quadratic equation in factored form is equal to
where
a is the leading coefficient
c and d are the roots or zeros of the function
Part 1) First graph
we know that
The solutions or zeros of the first graph are
x=-1 and x=3
The parabola open up, so the leading coefficient a is positive
The function is equal to
Find the value of the coefficient a
The vertex is equal to the point (1,-4)
substitute and solve for a
therefore
The function is equal to
Part 2) Second graph
we know that
The solutions or zeros of the first graph are
x=-3 and x=1
The parabola open down, so the leading coefficient a is negative
The function is equal to
Find the value of the coefficient a
The vertex is equal to the point (-1,8)
substitute and solve for a
therefore
The function is equal to
Part 3) Third graph
we know that
The solutions or zeros of the first graph are
x=-2 and x=6
The parabola open up, so the leading coefficient a is positive
The function is equal to
Find the value of the coefficient a
The vertex is equal to the point (2,-8)
substitute and solve for a
therefore
The function is equal to
