Answer:
D;
(x + 1/2)^2 + (y- √57)^2 = 81
Step-by-step explanation:
Mathematically, the general equation of a circle is given as;
(x-a)^2 + (y-b)^2 = r^2
where (a,b) represents the circle center and r represents the radius of the circle
Thus, we have this as follows;
(a,b) = (-1/2, √57) , r = 9
Substituting these values;
(x + 1/2)^2 + (y- √57)^2 = 9^2
sandwich = 6.50
Let s = sandwich price
d = drink price
6s + 4d = 53
4s + 6d = 47
Multiply the first equation by 3
18s + 12d = 159
Multiply the second equation by -2
-4s - 12d = -94
Add these equations together
-8s - 12d = -94
--------------------------
10s = 65
Divide by 10
s = 65/10
s =6.5
Probability of no one picking up a defective product = 571 / 1540
Total number of items = 22
non-defective items = 22-3 = 19
Probability of all three picking up non-defective products
= 19/22 * 18/21 * 17/20
= 969/1540
Probability of at least one picking up a defective product
= 1 - 969/1540
= 571/1540
(=0.371, approx.)
49, 17, 4, 18
There is a 25/81 probability that Grace will make both of her next two shots.
The probability of her making the first shot is 5/9.
The probability of her also making the shot after that is still 5/9, that does not change.
To find the probability of both of those events, multiply the fractions.
5/9 * 5/9
25/81.
