S=(n-2)180
Dived 180 both sides
S/180=n-2 add 2 both sides
S/180+2=n
S over 182=n
Hope this helps good luck have a nice nite
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%)
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
Answer:
x = 3 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
(x + 2) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
x - 3 = 0 or x + 2 = 0
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 or x + 2 = 0
Hint: | Look at the second equation: Solve for x.
Subtract 2 from both sides:
Answer: x = 3 or x = -2
Answer:
(g o f)(x) = 
(not simplified)
Step-by-step explanation:
(g o f)(x) = g(f(x))
g(x) = 
f(x) = 
g(f(-5)) = g(
= 
= 
g(-170) = 
=
