Answer:
Alan = reject H0
Bill = cannot say
Step-by-step explanation:
Given that Heather is a student in a class that has been asked to conduct a hypothesis test for a population proportion.
(two tailed test at 5% significance level)
Since she rejects null hypothesis p value should have been less than 0.05
when p value <0.05, it is definitely less than 0.10
So at 1% level of significance also the null hypothesis would be rejected.
So Alan also would get the same result as to reject the H0
But about Bill since Bill uses 0.01, we cannot definitely say that p value is less than or greater than 0.01
All we know is that p is less than 0.05
Hence it is impossible to tell from the information for Bill
Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is 
of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, 
is of the distance from 
to 
, since the latter is the midpoint of the side opposite to . We know this because belongs to 
, so must be 
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting 
into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by 
to get rid of 's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
Answer:
10.5 I think
Step-by-step explanation:
the platform is 42ft so if you divide 42 by 4 you get 10.5
-18x-8y-14 because you need to distribute the digits
