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Marat540 [252]
3 years ago
7

I know it equals 180 I’m just confused.

Mathematics
1 answer:
devlian [24]3 years ago
4 0
A whole triangle is total of 180°

as the two angles are same which is x, hence it is an isosceles triangle.

so using all the angles given,

46° + x° + x° = 180

by collecting all the like terms,

46° + 2x° = 180

GET RID of 46° on the left hand side
ADD of 46° on the right hand side

2x° = 180° - 46°
2x = 134°

now divide all with 2

2x÷2 = 134÷2
x° = 67°

therefore, the answer is x = 67°

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Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

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pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

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Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

8 0
2 years ago
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