To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.
We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3
Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
Perimeter of a square = 20 feet = 4a
=>4a = 20
=>a = 20/4
=>a = 5 feet
Area of a square = a²
=>a² = 5²
=>a = 25 square feet
Answer:
The null and alternative hypothesis for this test are

Step-by-step explanation:
If we perform a hypothesis test, we can reject or not reject the null hypothesis.
To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis
and then go on with the analysis to reject it (or not).
If the null hypothesis is rejected, the claim of the manufacturer is rigth.
The alternative hypothesis would be
, that would turn rigth if the null hypothesis is rejected.
Answer:
Option D.
Step-by-step explanation:
In the given graph x-axis represents the number of owners and y-axis represents yearly cost of pets, in hundreds.
It is given that the graph passes through the points (1,15), (3,7) and (10,0).
We need to check whether (4.5, 6) is a realistic solution for the function or not. (4.5,6) point represents
Number of owners = 4.5
yearly cost of pets = 6
It is realistic that owners spend $600 a year on their pet(s).
Number of owners can not be a fraction value. So, it is not realistic to have 4.5 owners.
Therefore, the correct option is D.