Answer:
Jaime's. Interval not centered around the point estimate.
Step-by-step explanation:
When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.
For Jaime's interval
Lower bound = 0.078
Upper Bound = 0.193

For Mariya's interval
Lower bound = 0.051
Upper Bound = 0.189

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 9 ← is in slope- intercept form
with slope m = - 4
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, hence
y =
x + c ← is the partial equation of the perpendicular line
To find c substitute (4, 5) into the partial equation
5 = 1 + c ⇒ c = 5 - 1 = 4
y =
x + 4 ← equation of perpendicular line → C
First, let's find the slope of the line using the slope formula, which is:

((
,
) and (
,
) are points on the line)
In context of this problem, we can use the formula to find the slope of the line between the two points:

Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is
where (
,
) is a point on the line)
In the context of the problem, we could use the formula to find the equation of the line:



The equation of the line is y = -x + 5.
Answer:Benjamin’s age = 30 and David’s age = 6
Explanation:
Let x be the age of Benjamin
Let y be the age of David
x + y = 36
And 2x + 2y = 72
If we plug 30 for x and 6 for y we get:
30 + 6 = 36
36 = 36
2(30) + 2(6) = 72
60 + 12 = 72
72 = 72
=
You would divide 6 by 30.
6/30=0.2
Therefore the answer is D