P(no girls in five births) = p(five boys) = (1/2)^5 = 1/32 = 0.0313
Answer:
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Step-by-step explanation:
Given:
Let,
point L( x₁ , y₁) ≡ ( -6 , 2)
point M( x₂ , y₂ )≡ (x , 2)
l(AB) = 15 units (distance between points L and M)
To Find:
x = ?
Solution:
Distance formula between Two points is given as
![l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}](https://tex.z-dn.net/?f=l%28LM%29%5E%7B2%7D%20%3D%20%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D)
Substituting the values we get
![15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}](https://tex.z-dn.net/?f=15%5E%7B2%7D%3D%28x--6%29%5E%7B2%7D%2B%282-2%29%5E%7B2%7D%5C%5C%5C%5C225%3D%28x%2B6%29%5E%7B2%7D)
Square Rooting we get
![(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21](https://tex.z-dn.net/?f=%28x%2B6%29%3D%5Cpm%20%5Csqrt%7B225%7D%3D%5Cpm%2015%5C%5C%5C%5Cx%2B6%20%3D%2015%5C%20or%5C%20x%2B6%20%3D%20-15%5C%5C%5C%5Cx%3D%209%5C%20or%5C%20x%20%3D%20-21)
As point M is located in the first quadrant
x coordinate and y coordinate are positive
So x = -21 DISCARDED
Hence,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
A (5, 4) and B( 5, -2) is 6 units
E(-2, -1) and F(-2, -5) is 4 units
G(3, -5) and H(6, -5) is 3 units
C(-4, 1) and D(1, 1) is 5 units
The answer would be 30x-10