The equation of the function g(x) is g(x) = x - 1
<h3>How to determine the
equation of the
function g(x)?</h3>
The given parameters are:
f(x) = x - 5
The above function f(x) is translated left by 4 units
So, we have
g(x) = f(x + 4)
This gives
f(x + 4) = x + 4- 5
Evaluate the sum
f(x + 4) = x - 1
So, we have:
g(x) = x - 1
Hence, the equation of the function g(x) is g(x) = x - 1
Read more about function transformation at:
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Let the require value be x, then
P(z > x) = 0.025
1 - P(z < x) = 0.025
P(z < x) = 1 - 0.025 = 0.975
P(z < x) = P(z < 1.96)
x = 1.96
Therefore, <span>the positive critical value that corresponds to a right tail area of 0.025</span> is 1.96
Answer:

Step-by-step explanation:
The equation of a circle is
where
is the center of the circle and
is the radius of the circle.
Given that
and it passes
, their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

Therefore, if the length of the radius is
units, then
, making the final equation of the circle 
Answer:

Step-by-step explanation:
The first partial sum is:

The second partial sum is:

Which represents the option A.