Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Answer:
The expected value of profit is -0.5125. This is expected loss as value is negative.
Step-by-step explanation:
We are given the following in the question:
P(winning) = 0.075
Thus,
P(Loosing) =

If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.
Thus, we can form the probability distribution in the following manner:
Event: Winning Loosing
Profit(x): +5.50 -1
P(x): 0.075 0.925
We have to calculate the expected value of the profit.

Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.
Answer:
Step-by-step explanation:
Any negative (when there is only one of them) will be the least. negatives are smaller than positives.
A fraction is less than a whole number. So far what you have is
___ ___ 3/15 , - 24/30
So now which is bigger? 11 or 11.5
Which would you rather have? 11 dollars or 11 dollars and 50 cents. 11.5>11
The correct order is 11.5 11 3/15 - 24/30
The answer is -13
1 would become 1^2
-5 becomes -5x
and -13 stays as it is
Answer:
Step-by-step explanation:
1/2