Answer:
Step-by-step explanation:
x2 - 4x - 12 = 0
x2 - 6x + 2x - 12= 0
x(x - 6) + 2(x - 6) = 0
x + 2 = 0
x = - 2
x - 6 = 0
x = 6
Answer: Volume of the cone = 47.12 cubic feet.
Step-by-step explanation:
You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.
To solve for the full volume including the cylinder, use the cylinder's volume formula.
Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.
Volume of a cone is pi(r^2)(h/3)
plug and chug!
h stands for height and r stands for radius.
Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
The probability that either the girls' or boys' team gets a game is 0.85
Step-by-step explanation:
Step 1:
Let P(G) represent the probability of girls team getting a game and P(B) represent the probability of the boys team getting a game.
P(B ∪ G) represents the probability of either girls and boys team getting a game.
P(B ∩ G) represents the probability of both girls and boys team getting a game.
Step 2:
It is given that P(G) = 0.8, P(B) = 0.7 and P(B ∩ G) = 0.65
We need to find the probability of either girls or boys team getting a game which is represented by P(B ∪ G)
Step 3:
P(B ∪ G) = P(B) + P(G) - P(B ∩ G)
= 0.8 + 0.7 - 0.65 = 0.85
Step 4:
Answer:
The probability that either the girls' or boys' team gets a game is 0.85
Slope formula:
m = (y2-y1)/(x2-x1)
m = (13-19)/(-3-(-8))
m = (13-19)/(-3+8)
m = -6/5
The slope is therefore -6/5
