Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:
2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:
3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:
4) The pooled estimate of a proportion is the average of both proportions:
5) The standard error can be calculated as:
6) The z-statistic can be calculated as:
7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).
8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0
Answer:
Step-by-step explanation:
y - 2 = 30
y = 32
Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.
Which composition of transformations will create a pair of similar, not congruent triangles?
<h3>What is congruent geometry?</h3>
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.
Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.
Learn more about congruent geometry here.
brainly.com/question/12413243
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The complete question is:
A geometric sequence is defined recursively by
(a) Write out the first four terms of this sequence.
(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.
Answer:
- <u>The 9th term is larger than 1/10.</u>
Explanation:
You are given the first term, 
, and the recursive formula
Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).
<u>(a) First four terms of the sequence</u>
Those are the first four terms.
<u>(b) 9th term</u>
You can write the explicit formula of the sequence as:
Thus, for the 9th term, n = 9, and the term is:
Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.
Answer:
Option C is the correct answer
Step-by-step explanation:
is supplementary to 
