Answer:
a) 
b) 
Step-by-step explanation:
Part a
Let A the random variable that represent "The arrival time (minutes) for a daily flight from Boston to New York ". And we know that the distribution of A is given by:
We select our starting point a=0 representing 9:05 AM and the amount of minutes between 9:05 am to 9:55 am are 50 ans for this reason b =50
For ths uniform distribution the expected value is given by 
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:
And the variance is given by:
And the standard deviation by definition is just the square root of the variance:
Part b
If we convert 9:30 AM to our scale we know that we have 25 minutes between 9:05 AM and 9:30 AM.
For this case we want to find this probability: 
And we can find this probability using the complement rule like this:
And we can use the cumulative distribution function given by:
And we got:
3(X-2) = 22- x
Expanding the bracket by multiplying the 3 outside the bracket with x and 2, it becomes 3x- 6= 22-×
Take like terms of X
3x+x = 22+6
4× =28
Divide both sides by 4
X= 7
<h2><u>Answer: 9</u></h2><h2><u>Step-by-step explanation</u></h2><h2><u>Explanation:</u></h2><h2><u>Let n be the integer in question. Then we have</u></h2><h2><u>We now have a quadratic equation to solve. We could use the quadratic formula, however we know that </u></h2><h2><u>n</u></h2><h2><u> is an integer, so instead let's try to solve by factoring instead.</u></h2>
<u />
(-3x)⁴
Basically, just do this :
(-3x) × (-3x) × (-3x) × (-3x)
So now you have 9x² × 9x²
9 × 9 = 81
x² × x² = x⁴
So, your answer is 81x⁴
~Hope I helped!~
Answer:
y=2
x=3
Step-by-step explanation:
make x - y = 1 into x= y + 1
put that wherever x is in the other equation
so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2
then substitute 2 into the y in the equation x - y = 1 and you get x = 3
