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Snowcat [4.5K]
3 years ago
11

3. Polygon ABCDE is congruent to polygon TVSRK. EAB corresponds to _____.

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0
The answer is T

A is in the same place as T
mars1129 [50]3 years ago
6 0

Answer: The answer is (A) ∠T.

Step-by-step explanation:  Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

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A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul
pav-90 [236]

Answer:

95% confidence interval for the proportion of the adults who were opposed to the death penalty is (0.668, 0.704).

Step-by-step explanation:

We are given that a survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results below, where X refers to the number of the respondents who were in favor.

X = 1,790

N = 2,610

\hat p = Sample proportion = X/N = 0.6858

Firstly, the pivotal quantity for 95% confidence interval for the population proportion  is given by;

     P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion = 0.6858

           n = sample of respondents = 2,610

           p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population​ proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at

                                   2.5% level of significance are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }]

  = [ 0.6858-1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} } , 0.6858+1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} } ]

  = [0.668 , 0.704]

Therefore, 95% confidence interval for the population proportion of the adults is (0.668, 0.704).

3 0
3 years ago
Find the difference: 7 7/8 - 3 1/4=?*
sveticcg [70]
4 5/8
4 1/8
20 1/2
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0.25 or 16
6 0
3 years ago
The radius of a square is 16 cm what is the area
sdas [7]
Radius is normally used for a circle
in a circle, radius is the distance form the center of the circle to the outer edge of the circle
area=legnth times width or in square area=legnth times legneth
since this is a square and this is a math problem, we will assume that radius=1/2legnth  so
if radius=16 then legnth =2 times 16=32
area=32 times 32=1042

area=1042 square cm or 1042 cm^2
6 0
3 years ago
Read 2 more answers
12 picks in all . 1 out of 4 picks are orange . the rest are green . How many picks are orange ?
makvit [3.9K]
For every 4 picks there is 1 orange pick, so 12/4 should be fine
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An athlete jumps these 4 distances in a log jump competition. witch jump dose NOT round to 4.7 meters A:4.746 meters B:4.680 met
yaroslaw [1]
The answer is C:4.647.
5 0
3 years ago
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