Answer:
e. R′
Step-by-step explanation:
Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given
R complement = R` = Universal Set minus Red cards will give blue cards.
a. R OR O
It cannot be this option because we need 4 blue card
b. B AND O
It cannot be this choice as well because 4 is not odd.
c. R OR E
4 is even but we need blue
d. R AND O
Red and odd is again not required
e. R′ = It will give our required result.
f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.
I manually graphed the equation
Answer:
Improve your growth attitude, be more proactive, learn to understand yourself, be persistent despite hurdles, learn to accept your limits, learn how to make successful decisions, practice thankfulness, and stay open-minded to new opportunities are some of the ways that SMART goals can assist you.
Step-by-step explanation:
I've done this before :)
Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
