<span>Interval between 2.6 minutes late and 8.2 minutes late is within 2
standard deviations of the mean (k =8.2â’5.4/1.4 =5.4â’2.6/1.4 = 2). By Chebyshev’s Theorem, at least 1 â’1/2^2 =3/4 of all flights, i.e. at least 75% of all flights arrive
anywhere between 2.6 minutes late and 8.2 minutes late.</span>
Answer:
Step-by-step explanation:
Given
Required
Correctly combine the like terms
We have:
Collect like terms (in decreasing degrees of m)
So:
Answer:
3 5/8
Step-by-step explanation:
2 1/2 + 1 1/8
Convert to improper fractions.
5/2 + 9/8
Make the denominators equal.
40/16 + 18/16
Add the fractions.
58/16
Simplify.
29/8 ⇒ 3 5/8
Answer:
Step-by-step explanation:
sec(theta) is defined as:
In the diagram you provided the hypotenuse of the triangle is sqrt(41) and the opposite side is 5, using these two sides, we can solve for the adjacent side by using the Pythagorean Theorem:
So this gives us the equation where a=adjacent side:
Subtract 25 from both sides
Take the square root of both sides
So now plug this into the definition of sec(theta) and you get: . This is in most simplified form since 41, has no factors besides 41 and 1.