Answer:

Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:

#The margin of error, ME can be calculated for the confidence intervals using the formula:

#The number of individuals in the sample is the product of the point estimate and population size:

Hence, there are 645 individuals in the sample.
Answer:
a. 176 feet b. 2640 feet
Step-by-step explanation:
a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.
So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet
b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet
731,934,030
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Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
![[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree](https://tex.z-dn.net/?f=%5Bx%2B2x%2B3x%5D%3D360%5Ctextdegree%5C%5C%5C%5C6x%3D360%5Ctextdegree%5C%5C%5C%5Cx%3D60%5Ctextdegree)
Hence, the arc measurement x is 60°
(x^2 +5x+2.5^2) +4+5
(x+2.5)^2+9
vertex -2.5,9