Answer:
The z- score for a value of 3.99 will be 3.38.
Step-by-step explanation:
It is given that the mean of a set of data is -3.82 and its standard deviation is 2.31.
Thus, the value of the z-score=
=
=
=
=
Thus, the z- score for a value of 3.99 will be 3.38.
Answer:
28 + 0.15x = 49.30
0.15x = 49.30 - 28
0.15x = 21.3
divide both sides by 0.15
x = 21.3/0.15
x = 142
Answer:
(x + 1)^2 + (y - 1)^2 = 74
Step-by-step explanation:
By looking at the graph, we can see the center of the circle is (-1, 1).
Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:
r = √([-1-6]^2 + [1-(-4)]^2)
r = √(49 + 25)
r = √74
The equation of a circle is denoted in the form:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can plug in the values we calculated:
(x + 1)^2 + (y - 1)^2 = 74