Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and
be the sample proportion .
As per given question , we have

z-score : 

The required probability ( using z-table ):-

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
The difference of the distances traveled by the comets for any given number of minutes is 25t.
Since the first comet travels at a speed of 30,000 miles per hour, the distance it travels in t minutes is d = 30000 mph × 1 h/60 min × t = 500t miles.
Also, the second comet travels at a speed of 28,500 miles per hour, the distance it travels in t minutes is d' = 28,500 mph × 1 h/60 min × t = 475t miles.
So, the difference in the distances traveled by the comets D = d - d'
= 500t - 475t
= 25t
So, the difference of the distances traveled by the comets for any given number of minutes is 25t.
Learn more about distance traveled by comets here:
brainly.com/question/11458136
Answer:
we can identify the period over which the graph is changing in specific way.
we say that function is increasing over an interval if the input values of functions increases within the interval. similarly function is decreasing if its input values decrease within the interval.
Answer with Step-by-step explanation:
We are given two input A and B
A AND B=
If A=0 and B=0 then 
If A=0 and B=1 then 
If A =1 and B=0 then 
If A=1 and B=1 then 
A OR B=A+B
If A=0 and B=0 then A+B=0+0=0
If A=0 and B=1 then A+B=0+1=1
If A =1 and B=0 then A+B=1+0=1
If A=1 and B=1 then A+B=1+1=1
If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1
This is the main difference A AND B and A OR B.