A survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football pla
1 answer:
Answer:
0.66
Step-by-step explanation:
Given that a survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 55% are basketball players, and 13% of the athletes play both football and basketball.
Probability for a randomly chosen person is either a football player or a basketball player
=Prob for football player + Prob for basketball player -Prob for both
=
i.e. Probability reqd =0.66
You might be interested in
Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
<h3>Axis of symmetry</h3>An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.
In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.
The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.
That is, in a quadratic function that has the form:
f(x)= ax² + bx + c
the axis of symmetry is a vertical line and it is defined as .
In this case, you know:
- a= 3
- b=12
- c=9
Replacing in the definition of axis of symmetry:
Solving:
<u><em>x= -2</em></u>
Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.
Learn more about axis of symmetry:
#SPJ1