Answer:
Budgeted amount is $446.44
Step-by-step explanation:
Given data:
mean ![\mu = 430](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20430)
standard deviation is given as ![\sigma = 10](https://tex.z-dn.net/?f=%20%5Csigma%20%20%3D%2010)
![P(X\geq x) = 0.05](https://tex.z-dn.net/?f=P%28X%5Cgeq%20x%29%20%3D%200.05)
![1 - P(X\leq x) = 0.05](https://tex.z-dn.net/?f=1%20-%20P%28X%5Cleq%20x%29%20%3D%200.05)
![P(X\leq x) = 0.95](https://tex.z-dn.net/?f=P%28X%5Cleq%20x%29%20%3D%200.95)
![P(\frac{X - \mu}{\sigma} \leq \frac{x - \mu}{\sigma}) = 0.95](https://tex.z-dn.net/?f=P%28%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D%20%5Cleq%20%5Cfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D%29%20%3D%200.95)
![P(Z\leq z) = 0.95](https://tex.z-dn.net/?f=P%28Z%5Cleq%20z%29%20%3D%200.95)
{ by using normal table or online calculator}
![\frac{x - 430}{10} = 1.644](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%20430%7D%7B10%7D%20%3D%201.644)
solving for x we have
x = 446.44
Budgeted amount is $446.44
Your answer would be <span>f(x) = -3√x+5</span>
It is 0.067 it’s a decimal in this equation
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
Answer:
78 units squared
Step-by-step explanation: