Answer: 0.9730
Step-by-step explanation:
Let A be the event of the answer being correct and B be the event of the knew the answer.
Given: 


If it is given that the answer is correct , then the probability that he guess the answer 
By Bayes theorem , we have


Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
Given u/7 - 1 = 7 and plugging in values for u,
For u = 28; 28/7 - 1 = 4 - 1 = 3; No
For u = -49; -49/7 - 1 = -7 - 1 = -8; No
For u = 42; 42/7 - 1 = 6 - 1 = 5; No
For u = 0; 0/7 - 1 = -1; No
Another way to find out which value would be a solution to u/7 - 1 = 7 is to solve for u.
u/7 - 1 = 7
u/7 = 7 + 1
u/7 = 8
u = 8*7
u = 56
The only solution to this equation is when u = 56.
Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:

Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:

Given

Putting the values in the formula

Putting the values of h,k and r in general form of equation

Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
it's an equilateral triangle so all sides are equal
using Pythagorean theorem
2(√6) raised to the power of 2 = √6 raised to the power of 2 + x raised to the power of 2
2(√6) raised to the power of 2 is 12
√6 raised to the power of 2 is 6
therefore 12=6 + x
x = 12-6
x=6
427+316
step one- add 400 and 300=700
step two- take 3 from the 16 and add it to the 27 and add - 27+3+13=43
step three- add 43 and 700
I think that the common core way just adds more steps and makes it more complicated than just adding it regularly, but that's just me.