Answer:
a) 97.37%
b) 1.31%
Step-by-step explanation:
a)
Here we want to calculate the area under the Normal curve with mean 0.52 and standard deviation 0.009 between 0.5 and 0.54
This can be easily done with a spreadsheet and we get
<em>P (0.5くV < 0.54) = 0.9737 or 97.37% </em>
(See picture 1)
b)
Here we want the area under the Normal curve with mean 0.52 and standard deviation 0.009 to the left of 0.5.
<em>P(V ≤ 0.5) = 0.0131 or 1.31% </em>
(See picture 2)
Answer:
y= -2x²+4x.
Step-by-step explanation:
the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.
1) the coordinates of the vertex are:
2) if according to the condition x₀=1, then b= -2a.
If according to the condition y₀=2, then
it means that c=a+2.
3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:
-6=3²*a-6a+a+2; ⇔ a= -2.
4) if a= -2, then b=-2a=4, and c=a+2=0.
5) if a=-2, b=4 and c=0, then the required equation of the parabola is:
y= -2x²+4x.