Answer:
probability that he or she will answer at least 4 problems correctly = 0.5
Step-by-step explanation:
probability that he or she will answer at least 4 problems correctly is given as;
P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)
Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1
Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]
= [(35 x3)/252 ] + [21/252]
= [ 105/252 ] + [ 21/252 ]
= 126 / 252
= 0.5
Answer:
The y-coordinate of point A is 
.
Step-by-step explanation:
The equation of the circle is represented by the following expression:
(1)
Where:
- Independent variable.
- Dependent variable.
, 
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that 
, 
and 
, then the equation of the circle is:
(1b)
Then, we clear within (1b):
(2)
If we know that 
, then the y-coordinate of point A is:
The y-coordinate of point A is .
It would be ASA(angle side angle)
if 2 angles and an included side are congruent, then the two triangles are congruent.
