Answer:
Probability of having at least 4 Girls
= 0.6875
Step-by-step explanation:
Probability of having at least 4 Girls is 1-probability of having exactly 3 girls
Total number of children= 5 = N
Probability of having a girl p = 0.5
Probability of not having a girl q= 0.5
X= 3
Probability of at least 4 girls is given by
Probability= NCX(p)^x(q)^(N-x)
Probability = 5C3(0.5)^3(0.5)^(5-3)
Probability = 5C3(0.5)^3(0.5)^2
Probability= 5!/3!2!(0.5)^3(0.5)^2
Probability= 10(0.125)(0.25)
Probability= 0.3125
Probability of having at least 4 Girls
= 1- 0.3125
= 0.6875
(a-b) X (a+b)
= aXa - bXa +aXb -bXb (distributing)
Now, cross product of a vector with itself = 0
so, aXa = 0, bXb = 0
Also, aXb = - bXa
so,
(a-b) X (a+b) = 0 + aXb + aXb + 0
= 2aXb
hence, proved :)
So the easiest way to do this problem is to put your equation in linear form, meaning y = the rest of the equation.
I'm going to show the work to do that below:
2x - y = 4
-2x -2x (Here I am subtracting 2x)
- y = 4 - 2x
(-1)(- y) = (-1)(4 - 2x) (Now I'm multiplying both sides by -1 to make y positive)
y = 2x - 4 (And just for neat purposes I'm going to put the 2x in front of the 4)
Now you have your equation ( y=2x-4 ) and you're ready to put it on the points of your graph.
Start on the point (0, -4) to represent the y axis.
y = 2x - 4
Then, your rise (2) over your run (1)
so your coordinates for a line will be:
(0, -4) (-2, 1) (1, 0)
You only need to plot these three to connect your line.
I appologize for my lack of visuals i understand this might be confusing, however if you have any further questions feel free to let me know!
Answer:
16/3
Step-by-step explanation:
Answer:
10-3
=7
Step-by-step explanation:
i hope it wil help
