Observe the figure given.
Given: ABCD is a parallelogram.
To prove: ABCD is a rhombus
Statement
1. ABCD is a parallelogram. AC bisects .
Reason: Given
2.
Reason: Definition of an angle bisector
3.
Reason: Reflexive property of congruence
4.
Reason: ASA Postulate
5.
Reason: corresponding parts of congruent triangles are equal.
6.
Reason: Opposite sides of the parallelogram are congruent.
7.
Reason: Transitive property of congruence
8. ABCD is a rhombus
Reason: Definition of rhombus
Answer:
The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
Answer: -4
Step-by-step explanation:
Let the integer be x.
So, the integers are -4 and -3.