The confidence interval for the difference p1 - p2 of the population proportion is (0.063, 0.329)
<h3>How to determine the confidence interval?</h3>
The given parameters are:
n₁ = 93; n₂ = 80
p₁ = 0.814; p₂ = 0.618
The critical value at 95% confidence interval is
z = ±1.96
So, we have:
Substitute known values in the above equation
Evaluate
This gives
CI = 0.196 ± 0.133
Expand
CI = (0.196 - 0.133, 0.196 + 0.133)
Evaluate
CI = (0.063, 0.329)
Hence, the confidence interval is (0.063, 0.329)
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Answer: The lines L1 and L2 are parallel.
Step-by-step explanation: We are given to determine whether the following lines L1 and L2 passing through the pair of points are parallel, perpendicular or neither :
L1 : (–5, –5), (4, 6),
L2 : (–9, 8), (–18, –3).
We know that a pair of lines are
(i) PARALLEL if the slopes of both the lines are equal.
(II) PERPENDICULAR if the product of the slopes of the lines is -1.
The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by
So, the slope of line L1 is
and
the slope of line L2 is
Therefore, we get
Hence, the lines L1 and L2 are parallel.
Answer:
8.125
Step-by-step explanation:
BIG BRAIN :3
Each friend will get 1.35 pounds of pecans.
To find this, simply divide 16.2 by 12 to find the weight of pecans everyone gets. Thus making 1.35 pounds of pecans the answer.
I hope this helps!
Answer:
Step-by-step explanation:
A circle is described by an equation in the following form:
(1)
where:
is the x-coordinate of the centre of the circle
is the y-coordinate of the centre of the circle
r is the radius of the circle
For the circle in this problem, we have:
- The centre is located at (2,-8), so
- The radius is 11, so
Therefore substituting into eq(1) we find the equation of this circle:
So the correct option is option B:
