Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true; hence making it have no solution.
For this case we model the problem as a rectangle.
The area of the rectangle is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting values we have:
4800 = (w) * ((1 1/3) * w)
We rewrite:
w ^ 2 = 4800 / (1 1/3)
w ^ 2 = 3600
w = root (3600)
w = 60 in
The long will be then:
l = (1 1/3) * w
l = (1 1/3) * (60)
l = 80 in
Answer:
the dimensions of the quilt are:
w = 60 in
l = 80 in
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
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%)
