Answer:
Step-by-step explanation:
prob blue = 3/12 = 1/4
since you are replacing ,
prob(blue, blue) = (1/4)(1/4) = 1/16
Center of the circle: C=(3,8)=(h,k)→h=3, k=8
Radius of the circle: r=5
Standard form of the equation for the circle:
(x-h)^2+(y-k)^2=r^2
(x-3)^2+(y-8)^2=5^2
(x-3)^2+(y-8)^2=25
General for of the equation for the circle:
(x)^2-2(x)(3)+(3)^2+(y)^2-2(y)(8)+(8)^2=25
x^2-6x+9+y^2-16y+64=25
x^2+y^2-6x-16y+73=25
x^2+y^2-6x-16y+73-25=25-25
x^2+y^2-6x-16y+48=0
Answer: The general form of the equation for the circle is:
x^2+y^2-6x-16y+48=0
Answer:
1. 7/41
2. 7/15
Step-by-step explanation:
1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41
2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15
We can use Pythagorean's theorem to solve this problem:
a^2 + b^2 = c^2
a and b would both be the same value, since the shape is a square.
The sides of the square would each equal 30.
30^2 = 900
a^2 = 900 which means b^2 = 900
900 + 900 = 1,800
√1,800 ≈ 42.43
A diagonal of the playground would be about 42.43 yards!
Independent-a variable (often denoted by x) whose variation does not depend on that of another
dependant-a variable (often denoted by y) whose value depends on that of another.
