Answer:
See explanation
Step-by-step explanation:
1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then
m∠AOM = 180° - 135° = 45°
2. OM − angle bisector of ∠AOB, then
m∠AOM = m∠MOB = 45°
3. Now
m∠BOC = m∠MOC - m∠MOB
m∠BOC = 135° - 45° = 90°
4. Since m∠BOC = 90°, BO is perpendicular to AC.
5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus
∠ABO ≅ ∠CBO
<u>Answer:</u>
The number of tickets bought is 1000 adults tickets and 700 children were present
<u>Explanation:</u>
Let the number of children and adults present in the circus be x and y respectively
According to question,
Then, x + y = 1700 ……………..equation (1)
And, cost of ticket to circus for children and adult be 19, 42 respectively
Total cost of ticket;
for adults = 42y; for children = 19x
19x + 42y = 55300 …………………equation (2)
Multiplying equation (1) by 19
19x + 19y = 32300 ……………… eqn (3)
Subtracting equation 1 and 3, we get
23y = 23000
y = 1000
putting this value in eq (1), we get x = 700
Therefore, 1000 adults and 700 children were present
.
Just substitute in the number 3 for x then subtract 3 at both sides and youll have y=7
Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:
c. probability of obtaining this finding by chance alone is less than some quantity.
<h3>What is an hypothesis test?</h3>
- When a hypothesis test, there are two hypothesis, the null and the alternative hypothesis.
- There is also a significance level.
- If the probability of obtaining the finding by chance is less than the significant value, the result is statistically significant.
Hence, according to these bullet points, option C is correct.
You can learn more about hypothesis tests at brainly.com/question/16313918
