Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
Answer:
804
Step-by-step explanation:
1240- 436= 804
Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.
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Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.
The given equations are y= 6x^2+1 and y=x^2+4
Both the equations equal y so we can make them equal
6x^2+1=x^2+4
To bring x term on one side we subtract x^2 both sides
6x^2-x^2+1=4
5x^2+1=4
To isolate x term we subtract 1 both sides
5x^2=4-1
5x^2=3
Dividing by 5 both sides
X^2=3/5
Taking root of both sides we have:
X=±√⅗
Substituting x value to find y
When x=+√⅗=0.7745
Y= 6x^2+1
Y=6(3/5)+1
Y= 18/5+1
Y=23/5 =4.6
When x= -√⅗=-0.7745
Y= 6(3/5)+1
Y=23/5=4.6
Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)
