Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
Answer:
45¹³/₁₀₀
Step-by-step explanation:
The average number of hourly visitors to an art exhibit is 45.13.
We are required to write the average number of hourly visitors as a mixed number.
45.13=45+0.13
0.13=13/100 in its simplest form.
Therefore:
45.13=45+13/100
Writing this as a mixed number, we have:
45.13= 45¹³/₁₀₀
Therefore the average number of hourly visitor is given by 45¹³/₁₀₀
Answer:
Soo the triangle adds up to 180 so u know the right angle is 90 so add 15 and 14 and 90 and minus it by 180.
I THINK!!!! I SO PLEASE CHECK THIS BEFORE YOU DO IT
Answer:
C. 2.937
Step-by-step explanation:
Given the following :
H0 : p = 0.25
H1 : p > 0.25
Number of observations (n) = 647
p' = 30% = 0.3
SD = sqrt[(p(1 - p) / n)]
1 - p = 1 - 0.25 = 0.75
SD = sqrt[(0.25 * 0.75) / 647]
SD = sqrt[0.0002897]
SD = 0.0170234
Z = (p' - p) / SD
Z = (0.3 - 0.25) / 0.0170234
Z = 0.05 / 0.0170234
Z = 2.9371187 = 2.937
