24,000-21,000=3,000nThe decrease is 3,000 dollars. Now, put 3,000 over 24,000 which is 1/8, which is 12.5 percent.
Answer:
The slope of a line parallel to the given line = 5
The slope of a line perpendicular to the given line = - 1/5
Step-by-step explanation:
Answer:
The value of c is 12.25
Step-by-step explanation:
we know that
A perfect square trinomial is of the form

In this problem we have

so
equate the equations

we have
the following equations
-----> equation A
and
-----> equation B
<u>Solve the equation A</u>



<u>Solve the equation B</u>


therefore

The value of c is 12.25
Answer:
a) 33.33%)
b) 135 minutes
c) 8.66 min
d) 50%
Step-by-step explanation:
a) the probability for a uniform distribution is
P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values
therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)
P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)
b) the mean (expected value) for a uniform probability distribution is
E(X) = (c+d)/2 = (120+150)/2 = 135 minutes
c) the standard deviation for a uniform probability distribution is
σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²
σ = √75 min² = 8.66 min
b) following the same procedure as in a)
P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)
The answer is 8.333333 it goes on and 3 is repeating.