Answer:
The inverse is ±sqrt((x-1))/ 4
Step-by-step explanation:
y = 16x^2 + 1
To find the inverse, exchange x and y
x = 16 y^2 +1
Then solve for y
Subtract 1
x-1 = 16 y^2
Divide by 16
(x-1)/16 = y^2
Take the square root of each side
±sqrt((x-1)/16) = sqrt(y^2)
±sqrt((x-1))/ sqrt(16) = y
±sqrt((x-1))/ 4 = y
The inverse is ±sqrt((x-1))/ 4
Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event 
and 
are independent, then
. (
is the probability that the outcome of both event and event are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator 
or the prime superscript 
denotes that an event does not happen.
.
.
Since the two events 
and 
, 
and 
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:
.
The answer is b.
A is in the negatives, and there are no negative years.
B works ; it starts at 150, is positive, and slowly reaches 300
C is exponential and goes to fast.
D starts at 0 not 150
So the answer is b.
Hope this helps!
Answer:
Im pretty sure its E
Step-by-step explanation:
hope this is right
