Answer:
a)
b)
If we compare the p value and the significance level given we see that
we have enough evidence to reject the null hypothesis at 5% of significance.
Step-by-step explanation:
Data given and notation
n=114 represent the random sample taken
estimated proportion of people that their approval rating might have changed
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis
We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:
Null hypothesis:
Alternative hypothesis:
Part a
(1)
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part b: Statistical decision
The significance level provided
. The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
If we compare the p value and the significance level given we see that
we have enough evidence to reject the null hypothesis at 5% of significance.
Answer:
B. Given quadrilateral ABCD, BC⎯⎯⎯⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯⎯⎯⎯ are adjacent
Step-by-step explanation:
A. A square has 4 congruent sides and 4 congruent angles, so it is a regular polygon. True.
B. Draw the quadrilateral and label the vertices in the order shown. Given quadrilateral ABCD, BC and AD are opposite sides, not adjacent sides. False.
C. All angles of a rectangle are right angles that measure 90 degrees. True.
D. True by a theorem.
My guess would be guess A
Answer:
avn= -8 + (n-1)(-7)
Step-by-step explanation:
arithmetic sequence formula= avn= av1 + (n-1)d
av1= first number in the sequence
d= common difference
n= the number of the term to find
The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.
There is no specific n to find so it remains n.
I hope this helps! Let me know if this helps.