1) Given
2) Definition of supplementary
3) Substitution
4) Exterior sides in opposite rays.
Answer:
Will no explain too much in details.
The bottom rectangle has sizes 21cm*9cm, so its area is 189cm^2.
The remaining rectangle has sizes 6cm*7cm(16-9=7cm),so its area is 42cm^2.
The area of the object is 231 cm^2.
The perimeter is 21+9+16+6+(16-9)+(21-6) = 74 cm.
Degree of the polynomial is defined as the highest exponent or power of the variable involved. Do not mistake it with the power of first term.
From the given polynomial we can see that the highest exponent is 10 of the fourth term. So the degree of the given polynomial is 10.
Thus, the answer to this question is option D
The function is decreasing from X=-3 to X=-1. If you look at the values of the function, the value of -3 is 17 and the value at -1 is -3. So if you draw a graph, it'll be a steep decrease to go from 17 all the way down to -3
Answer:
The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).
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 true proportion of all consumers who favor the design is (0.52, 0.59).