Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is
and option 4 is correct.
Answer:
The greatest common factor is 2
Step-by-step explanation:
the greatest common factor is 2 because 6 98 and 140 are all numbers that can be multiplied by 2
Answer:
The volume of the right rectangular prism is 5400 cubic centimeter.
Step-by-step explanation:
Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.
To find : The volume of a right rectangular prism ?
Solution :
The formula used is 
Where, l is the length of the prism l=45 cm
w is the width of the prism w=12 cm
h is the height of the prism h=10 cm
Substitute the value in the formula,


Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
You take away from them so your answer will be 4,950
hope this help you with your question~~~~
love
meowlover