Answer: y = 3x-1
Step-by-step explanation: I was never the best at doing this, but here it goes...
first start with the formula Y2-Y1/X2-X1 for this problem, lets say your Y2 is -1, your Y1 is 5, your X2 is 0, and your X1 is 2, making your equation -1-5/0-2 which equals -6/-2, which can be qritten as 3. this is your slope.
now take the equation Y-Y1 = M (X-X1) m is your slope, which is 3 in this case as stated above. your X1 is2, your Y1 is 5. plug this in and you get
y-5 = 3 (x-2) which you put into slope intercept form, which is y = mx + b
your answer should be y = 3x-1
The answer to that question is 5
Irrational
i dont know how to explain this one, but its irrational
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
a) The graph of the probability density function for flight time is shown below.
b) 1/2
c) 0
d) 130 minutes
Step-by-step explanation:
Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by
for t in [120, 140]
a) The graph of the probability density function for flight time is shown below.
Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.
b) The probability that the flight will be no more than 5 minutes late is given by
c) The probability that the flight will be more than 10 minutes late is given by
because the probability density function is zero for t outside of [120, 140]
d) The expected flight time is given by 
minutes
