Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
From the reference of the 18 degree angle, 'h' is the opposite side and 100 is the adjacent side.
The trig ratio which uses both the opposite and adjacent sides is the tangent.
tan(18) = opp/adj = h/100
Trig equation:
tan(18) = h/100
Answer:
Option D. The student did not use the correct formula to calculate the area of the segment
Step-by-step explanation:
step 1
Find the area of the isosceles triangle
Applying the law of sines

step 2
Find the area of the sector
The area of the sector is 1/6 of the area of the circle
so

substitute the value

step 3
Find the area of the segment
The area of the segment is equal to the area of sector minus the area of triangle

therefore
The student did not use the correct formula to calculate the area of the segment
Answer:
Cougar population was 790 at the beginning
830-790=40
The answer is 3.2. you have to find the mean subtract then find the mean again