The function f(x)=−x2+40x−175 f(x)=−x2+40x−175 is graphed in the xy xy -plane above. for what value of x x is the value of f(x) f(x) greatest?

The maximum value of f(x) is when x = 225.

The equation given is an upside down parabola. Therefore, the maximum height of the parabola is at the vertex.

To find the vertex when the equation is in standard from, we can use "-b/2a" to find the x-value.

Our expression is: 

-40/-2 = 20

X=225

Step-by-step explanation:

0.4996

Step-by-step explanation:

We are given;

Population proportion; p = 14% = 0.14

Sample size; n = 804

Sample proportion; p^ = 13% = 0.13

Standard deviation; σ = √np(1 - p)

σ = √(804 × 0.14 × (1 - 0.14))

σ = 9.8388

Formula for z-score is;

z = (p^ - p)/σ

z = (0.13 - 0.14)/9.8388

z = -0.01/9.8388

z = -0.001

From online z-score and probability converter attached, we have;

P(Z < -0.001) = 0.4996