Answer:
x^2 +2x +1
Step-by-step explanation:
(x+1)^2
=(x+1)(x+1)
= x×x+x×1+1×x+1×1
=x^2+x+x+1
=x^2+2x+1
Answer:
Step-by-step explanation:
Answer:
For the second figure
X=10
Y=30
Step-by-step explanation:
3x=(5x-20).... Alternative interior angles
3x=5x-20
20=5x-3x
20=2x
x=10
2y+4y= 180
6y=180
Y=30
Answer:
a) Figure attached
b)
c)
d)
Step-by-step explanation:
2 hr = 120 min
2hr 20 min = 120+20 = 140 min
Let X the random variable that represent "flight time". And we know that the distribution of X is given by:
For this case the density function for A is given by:
And for other case
Part a
For this case we can see the figure attached. We see that the probability density function is defined between 120 and 140 minutes.
Part b
The arrival time is 2hr 5 min = 125 min. So then 5 minutes leate means 130 min
For this case we want to find this probability:
And we can use the cumulative distribution function for X given by:
And if we use this formula we got:
Part c
For this case more than 10 minutes late means 125 +10 = 135 min or more, so we want this probability:
And using the complement rule we have:
Part d
The expected value for the uniform distribution is given by:
Answer:2 units left of g(x)
2 units down from g(x)
Step-by-step explanation: plug in the formulas