Answer:
A. It exhibits both types of symmetry: rotational and reflectional.
Step-by-step explanation:
An image of a regular polygon is presented to us, and we need to identify its symmetry characteristics.
Upon examining the polygon, we can determine that it is a pentagon.
It's known that a regular pentagon consists of five sides of equal length and possesses five lines of symmetry.
Each line of symmetry enables the pentagon to be split into two identical halves, thus confirming the existence of reflectional symmetry in this pentagon.
Additionally, a regular polygon also has rotational symmetry. To establish the degree of rotational symmetry, one multiplies 360 degrees by the number of its sides.
Consequently, a regular pentagon displays rotational symmetry as well.
Answer:
3) One-sided, compare two populations
Step-by-step explanation:
A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.
Thus, we have two distinct populations:
Population 1: Mid-sized sedans equipped with the new tire.
Population 2: Mid-sized sedans without the new tire.
Consequently, a comparison is being made between these two populations.
Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.
Answer:
Nina's speed in MPH: 12.706 miles per hour
Nina is quicker than Sophia.
Step-by-step explanation:
To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.
Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.
(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.
Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.
This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).
Cheers.
