What is the value of x
1 answer:
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1. Check the picture at the bottom.
2. ABCD is a right trapezoid so the diagonals have equal length. Lets find diagonal BD.
3. In triangle ABD we are given the length AB=7, AD=5 and m(A)=80°.
4. We use the cosine law:
5. Cosine of 80 can be found with a scientific calculator or in the internet as cos80=0,17
6.
square root of BD=7.88, so the answer is 8 feet.
Answer: (a)
(b) Restaurant B has a significantly lower percentage of orders that are not accurate.
Step-by-step explanation:
Confidence interval for population proportion is given by :-
Given: Significance level :
Critical value :
For Restaurant A , The proportion of orders not accurate :
Then , the Confidence interval for population proportion will be :-
Also, 95% confidence interval for the percentage of orders that are not accurate at Restaurant B:
By comparing both the lower confidence limit and upper confidence limit of the interval for Restaurant B is lower than the lower confidence limit of t and the upper confidence limit of the interval for Restaurant A.
Therefore, Restaurant B has a significantly lower percentage of orders that are not accurate.