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jmwmarshall
26.11.2019 •
Mathematics
Given below are the analysis of variance results from a minitab display. assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean. identify the value of the test statistic. a) 5.17 b) 0.011 c) 13.500 d) 4.500 identify the p-value. a) 0.870 b) 0.011 c) 4.500 d) 5.17 find the critical value. a) 3.06 b) 5.42 c) 8.70 d) 3.24 what can you conclude about the equality of the population means? a) accept the null hypothesis since the p-value is less than the significance level. b) reject the null hypothesis since the p-value is less than the significance level. c) reject the null hypothesis since the p-value is greater than the significance level. d) accept the null hypothesis since the p-value is greater than the significance level.
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Ответ:
To use the HL THeorem to prove the triangles congruent, you have to check for three conditions.
1) The triangles are both right triangles.
2) Their hypotenuses are congruent
3) They have one pair of congruent legs.
The squares at the angle of the triangle indicate the triangles are right triangles. Since the triangles in the picture share one side, the hypotenuse, the hypotenuses of the triangles are congruent. The triangles also have one pair of congruent legs. Since all three conditions of the HL Theorem are met, the triangles are congruent.