You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1. This will give probability that any other number up to 9 of the babies are girls.
Use binomial theorem.

n = 11
k = 10,11
p = 1/2
Answer:
The inverse of function
is ![\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7%7D)
Option A is correct option.
Step-by-step explanation:
For the function
, Find 
For finding inverse of x,
First let:

Now replace x with y and y with x

Now, solve for y
Taking 5th square root on both sides
![\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D%3D%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%5C%5C%5Csqrt%5B5%5D%7Bx%7D%3Dy%2B7%5C%5C%3D%3E%20y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D%5C%5Cy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
Now, replace y with 
![f^{-1} (x)=\sqrt[5]{x}+7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7)
So, the inverse of function
is ![\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%5E%7B-1%7D%20%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D%2B7%7D)
Option A is correct option.
Answer:
Option B.
Step-by-step explanation:
It is given that a delivery truck driver charges a fixed base price of $6 for 2 miles.
After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.
We need to describe the cost of the delivery truck between 1 mile and 2 miles.
In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.
From the given graph it is clear that the value of function is constant between x=1 and x=2.
It means the cost of the delivery truck between 1 mile and 2 miles is constant.
Therefore, the correct option is B.
Answer:

Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

where
is the vertex of parabola and p is parabola's parameter.
By the definition,
is the distance from the vertex to the directrix, so

Hence, the equation of parabola is

See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is

a / 75 = 15 / 100
100a = 75 * 15 [cross multiplication]
a = 11.25
i hope this helps!!! :D