By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>How to calculate the length of an arc</h3>
The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.
If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:
s = [(360π/180) - (52π/180)] · (6 in)
s ≈ 32.254 in
By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>Remark</h3>
The statement has typing mistakes, correct form is shown below:
<em>Find the length of the arc EF shown in red below. Show all the work.</em>
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Answer:
The correct answer is C, as growth on stock E is bigger from the growth of stock B
Step-by-step explanation:
In order to resolve this problem, we must have in mind that the negative numbers are smaller when they are more distant from 0, and that positive numbers are bigger when they are more distant from 0. So, the biggest number of growth is the one that is more distant from 0.
The correct answer is C, as growth on stock E is bigger from the growth of stock B.
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
Answer:
To multiply rational expressions, first factor all numerators and denominators and cancel any factors you can. Then multiply what you have left.
Step-by-step explanation:
Answer:
<h2>12</h2>
Step-by-step explanation:
To evaluate 4P2, we will use the permutation formula as shown;
nPr = 
4P2 = 
4P2 = 12
