Answer:
step 1
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
21 because it is being multiplied
Answer: Option D
![t_{max} =19\ s](https://tex.z-dn.net/?f=t_%7Bmax%7D%20%3D19%5C%20s)
Step-by-step explanation:
Note that the projectile height as a function of time is given by the quadratic equation
![h = -12t ^ 2 + 456t](https://tex.z-dn.net/?f=h%20%3D%20-12t%20%5E%202%20%2B%20456t)
To find the maximum height of the projectile we must find the maximum value of the quadratic function.
By definition the maximum value of a quadratic equation of the form
is located on the vertex of the parabola:
![t_{max}= -\frac{b}{2a}](https://tex.z-dn.net/?f=t_%7Bmax%7D%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
Where ![a](https://tex.z-dn.net/?f=a%20%3C0)
In this case the equation is: ![h = -12t ^ 2 + 456t](https://tex.z-dn.net/?f=h%20%3D%20-12t%20%5E%202%20%2B%20456t)
Then
![a=-12\\b=456\\c=0](https://tex.z-dn.net/?f=a%3D-12%5C%5Cb%3D456%5C%5Cc%3D0)
So:
![t_{max} = -\frac{456}{2*(-12)}](https://tex.z-dn.net/?f=t_%7Bmax%7D%20%3D%20-%5Cfrac%7B456%7D%7B2%2A%28-12%29%7D)
![t_{max} =19\ s](https://tex.z-dn.net/?f=t_%7Bmax%7D%20%3D19%5C%20s)
Answer:
Suppose a random number generator from 1 to 1,000 is used as a statistical model to create simulated results for births in the United States during 2018. Suppose the numbers 1 to 511 represent a male birth in the United States during 2018 and 512 to 1,000 represent a female birth in the United States during 2018. Explain whether the following results