A circle with area \blue{16\pi}16πstart color #6495ed, 16, pi, end color #6495ed has a sector with a central angle of \purple{\dfrac{8}{5}\pi}
5
8

πstart color #9d38bd, start fraction, 8, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the sector?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.

(64/5)π

Step-by-step explanation:

Area of the circle: 16π

central angle: (8/5)π

The Area of the circle corresponds to a central angle equal to 2π (the complete circle). Then the following proportion must be satisfied:

16π / x = 2π / (8/5)π

x = [16π * (8/5)π] / 2π

x = (64/5)π

20

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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