Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72
Answer:
a) -$3.03; b) The $5 on the number 25
Step-by-step explanation:
To find the expected value, multiply each probability by its value and then add them together.
The probability of making a profit of $20 is 3/38; this gives us
3/38(20) = 60/38
The probability of losing $5 is 35/38; this gives us
35/38(-5) = -175/38
Together, this gives us
60/38-175/38 = -115/38 ≈ $-3.03
b) Since the expected value for the $5 bet on a single number is $-0.53, and the expected value for the $5 on either 00, 0 or 1 is $-3.03, the better bet is on the number 25. The expected value loses less money with this option.
Answer:
X= 12.5
Step-by-step explanation:
U do the inverse which is 114.50-14.50=100
100\8= 12.5
Answer:
[see below]
Step-by-step explanation:
Finding the slope of the two points:
The slope is -6.
Using an incomplete slope-intercept form equation to find the y-intercept:
The equation for the line passing the points is 
.
The equation in standard from would be 
.
Answer:
24
Step-by-step explanation:
3x+x=48
4x=48
x=48/4
x=12
Mrs. robert=3x=3*12=36
when her son was born she was =36-12=24
