Answer: 8.96 × ten to the power of two
Sorry, I couldn't write ten to the power of two in numbers...but you get it right?
Answer:
Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Step-by-step explanation:
<u>TO FIND :-</u>
- Domain of

<u>SOLUTION :-</u>
Domain of a function is a value for which the function is valid.
The function
is valid until the denominator is 0.
So make sure that the denominator must not be 0.

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.




We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.
Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.
<u>CONCLUSION :-</u>
The function will be valid for any value of 'x' except 4 & -4. So in :-
Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)
Set builder notation , it can be written as → {x : x ≠ 4 , -4}
Answer:
The probability that a student is taking calculus given that he or she is taking statistics is = 0.26
Step-by-step explanation:
the probability that a student is taking calculus given that he or she is taking statistics.
Let C = Calculus
S = Statistics
We solve this above Question nursing the formula;
P ( C ∪ S) = P(C) + P ( S ) - P ( C ∩ S)
From the question,
P(C) = 0.10
P( S ) = 0.18
P ( C ∩ S) = 0.02
P ( C ∪ S) = ???
P ( C ∪ S) = 0.10 + 0.18 - 0.02
= 0.28 - 0.02
= 0.26