Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
Answer:
a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder). Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.
Ex w/ 1ft base:
1^2 + b^2 = 16^2
1 + b^2 = 256
b^2 = 255
b = 15.97ft.
b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.
Ex w/ 1ft base:
15.97ft + 5.5ft = 21.47ft
c) Using logic here think about it. Let's take the 1ft base as the example. Marissa standing on top of the ladder is 21.47ft. That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards. As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.
Step-by-step explanation:
lolz
Answer:
Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒ 
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So, 
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is (Answer)
