Tell whether the statement is true or false.{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}
1 answer:
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Answer: The maximal margin of error is 4.822.
Step-by-step explanation:
Since we have given that
Number of bags = 38
Sample mean = 78 ounces
Standard deviation = 14.5 ounces
At 96% confidence interval for the true population mean bags of nut weight.
So, z = 2.05
As we know that formula for "Margin of error":
Hence, the maximal margin of error is 4.822.
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB =AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.