Please help me, I've been stuck on this problem forever and I need help! Please don't answer with something random to get points
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Complete the two-column proof
Given: ∠1 is complementary to ∠2
→BD bisects ∠ADC
Prove: ∠1 is complementary to ∠3
Statement Reason
1. ∠1 is complementary to ∠2 1. ?
2. ? 2. Definition of complementary
3. ? 3. Given
4. ∠2 ≅ ∠3 4. ?
5. m∠2 = m∠3 5. ?
6. ? 6. Substitution property of equality
7. ? 7. ?
Complete the two-column proof
Given: ∠1 is complementary to ∠2
→BD bisects ∠ADC
Prove: ∠1 is complementary to ∠3
Statement Reason
1. ∠1 is complementary to ∠2 1. ?
2. ? 2. Definition of complementary
3. ? 3. Given
4. ∠2 ≅ ∠3 4. ?
5. m∠2 = m∠3 5. ?
6. ? 6. Substitution property of equality
7. ? 7. ?
1 answer:
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Answer:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:And we can find this probability using the complement rule: