Typically, the equation of a circle is given like this: (x-h)^2 + (y-k)^2 = r^2, where r is the radius of the circle and the point (h,k) is the center. To find the value k, you need to put the first equation you have into this form. Standard form requires that you only have the1 y variable, as seen in the parentheses, so you first need to complete the square.
x^2 + y^2 - 2y = 11
x^2 + y^2 - 2y +1 = 11 + 1
x^2 + (y - 1)^2 = 12
And that puts the equation in standard form. k = 1.
Answer:
a) 0.1091
b) 0.9994
c) 0.5886
Step-by-step explanation:
X = the number of fish out of 20 that die after 24 hours
x = 0, 1, 2, . . . , 20
X~ Binomial (n= 20, p =0.20)
P(14 survive) = P(X = 6)
= 
=0.1091
Similarly we can find out
P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994
P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886
Answer:
1.42
Step-by-step explanation:
Answer:
3003 cm³
Step-by-step explanation:
21cm × 13cm × 11 cm = 3003 cm³
Answer:
13.5
Step-by-step explanation:
(Are you meaning this as the answer is a decimal?)
3/50 * 225/1
<em>Cross-cancel 50 and 225 by cancelling out 25.</em>
3/2 * 9/1
<em>Rewrite this so it is a single fraction.</em>
(3 * 9)/2
<em>Multiply 3 by 9 to get 27.</em>
27/2
<em>Divide 27 by 2 to get 13.5.</em>
13.5
6% of 225 is 13.5.
