Answer:




Step-by-step explanation:
Given
close
fail to close


First, calculate the value of q
Using complement rule



So, we have:
and 
Solving (a): Fails to close on the 4th attempt
This means that he closes the first three attempts. The event is represented as: p p p q
So, we have:




Solving (b): He closes for the first time on the 3rd attempt
This means that he fails to close the first two attempts. The event is represented as: q q p
So, we have:




Solving (c): First he closes is his 2nd attempt
This means that he fails to close the first. The event is represented as: q p
So, we have:



Solving (d): The first he close is one of his 3 attempts
To do this, we make use of complement rule
The event that he does not close any of his first three attempts is: q q q
The probability is:


The opposite is that the first he closes is one of the first three
So, we have:
--- complement rule




A^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
20^2 + 21^2 = c^2
400 + 441 = c^2
841 = c^2
sqrt 841 = c
29 = c <== third straw will be 29 cm
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3
The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.
So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4
----------------------------------------------------------------------------
In summary, the answer is
a1=3; an=an-1+4
which is choice B
Answer:
Option C. The time in seconds that passed before the printer started printing pages
see the explanation
Step-by-step explanation:
Let
y ---->the number of pages printed.
x ---> the time (in seconds) since she sent a print job to the printer
we know that
The x-intercept is the value of x when the value of y is equal to zero
In the context of the problem
The x-intercept is the time in seconds that passed before the printer started printing pages (the number of pages printed is equal to zero)
38,496 rounded to the nearest thousand is 38,000.