<u>Answer:</u>
The correct answer option is B. 72°.
<u>Step-by-step explanation:</u>
A polygon is said to be a regular polygon when all its sides and angles are equal.
So a regular pentagon coincides with its pre-image when it is rotated at an angle of 72°.
When rotated at an angle of 72°, a regular pentagon produces the same pentagon regardless of being rotated clockwise or anticlockwise.
Therefore, option B is the right choice.
Answer:
107.8155
Step-by-step explanation:
According to the described situation, it is found that:
1.
,
.
2. Since the interval does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the mean flight time is of 32 minutes, that is:

At the alternative hypothesis, it is tested if it differs of 32 minutes, hence:

<h3>What is the decision?</h3>
The confidence interval is of (28.5, 31.4), that is, is does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.
More can be learned about an hypothesis test at brainly.com/question/26454209
Total number of Pizzas sampled = 344+391+155+185 = 1075
No. of Thick crust Pizzas in sample = 391
Proportion of Thick crust Pizzas in sample = 391/1075
Expected number of Thick crust in next 3500 pizzas = 3500*(391/1075)
Expected number of Thick crust in next 3500 pizzas = 1273
Out of 3500, he may expect 1273 pizzas to be thick crust