Answer:
60.0735651 degrees
Step-by-step explanation:
So the hypotenuse is 50 and the vertical leg is 13
For the angle, you need to find the sine (opposite and hypotenuse)
sin(x) = 13/50
x = asin(13/50)
x = 60.0735651
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:
Step-by-step explanation:
The area for the sector of a circle is
where theta is the measure of the central angle. We have some given values to fill in:
Area is 64π and the central angle is 90°, so all we have left to find is the radius. Filling into the equation:
Let's get that solved for r-squared first:
Doing all the math on that gives us:
Take the square root of both sides and get that r = ±16. BUT we know that lengths cannot be negative, so we disregard the -16 and say that the radius is 16 inches.
Answer:
$40 is the difference. One is positive(W1), one is negative(W2). Therefore, you subtract.
Step-by-step explanation:
You subtract week ones profit and week twos profit.
65 - 25 = $40
You subtract because she had a negative profit for week two and/or a profit below 0.