Answer:
C) 0.880
B) 0.075
Step-by-step explanation:
If the professor forgets to set the alarm
Probability = 0.1,
Wakes up in time probability = 0.25.
If the professor sets the alarm
Probability = 1 - 0.1 = 0.9
Wake up in time probability = 0.95.
A.)
The probability that professor Moore wakes up in time to make his first class tomorrow
Probability = ( Forgets to set alarm probability x Wakes up in time )+ ( Sets the alarm probability x Wakes up in time ) = ( 0.1 x 0.25 ) + ( 0.9 + 0.95 ) = 0.88
B.)
Late in the class
Set the Alarm Probability = 0.1
Wakes up late probability = 1 - 0.25 = 0.75
Professor Sets the alarm probability = Set the Alarm Probability x Wakes up late probability = 0.1 x 0.75 = 0.075
<span> The difference between the observed </span>value<span> of the dependent variable (y) and the predicted </span>value<span> (ŷ) is called the </span>residual<span> (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.</span>
B. Associative Property
, you're working out the numbers in the parentheses before anything else.
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
