Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:

Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:

Then

So The coordinates of the center of the ellipse are (7, -3)
Step-by-step explanation:




Answer:
-$13.5
Step-by-step explanation:
Let x be a random variable of a count of player gain.
- We are told that if the die shows 3, the player wins $45.
- there is a charge of $9 to play the game
If he wins, he gains; 45 - 9 = $36
If he looses, he has a net gain which is a loss = -$9
Thus, the x-values are; (36, -9)
Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6
Thus;
E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)
E(X) = (1/6)(36 - (5 × 9))
E(X) = (1/6)(36 - 45)
E(X) = -9/6 = -3/2
E(X) = -3/2
This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5
Answer:
it would be 4.5
Step-by-step explanation:
basic explantion
step 1. 3+2 =5
step 2 5x5=25
step 3 25-16=9
step 4 9 divde by 2= 4.5
simplifyed it would be 25-16 ÷ 2
more deatialed explanation.
I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5. hope this helped!
Step-by-step explanation:
Case 1 :


Case 2 :

