Elapsed time from 105pm to 440am is 15 hours and 35 minutes.
Given:


To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are


On comparing these equations with (i), we get


Angle between two lines whose slopes are
is

Putting
and
, we get



Now,
and 
and 
and 
, so it is an obtuse angle and
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
Divide calories by grams so 161 / 28= 5.75 now you know 1 gram has 5.75 calories so you multiply 5.75 * 12 to get 69. so 12 grams of <span>cashews = 69 calories </span><span />
Answer:
a) 
b) 
c) 
d) 
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:

Part a
The probability density function is given by the following expression:


Part b
We want this probability:

And we can use the cumulative distribution function given by:

And replacing we got:

Part c
We want this probability:

And we can use the CDF again and we have:

Part d
We want this conditional probabilty:

And we can find this probability with this formula from the Bayes theorem:
