<h3>
Answer: Choice A) 0.20</h3>
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Explanation:
Let's say there are 1000 students. The students must take math, science or they can take both simultaneously.
- 65% of them are in math. So there are 0.65*1000 = 650 math students.
- 43% are in science, leading to 0.43*1000 = 430 science students.
- 13% are in both so we have 0.13*1000 = 130 students who are in both.
Now onto the sentence that says "Suppose a high school student who is enrolled in a math class is selected at random"
This means we only focus on the 650 math students and ignore the 1000-650 = 350 students who aren't in math.
Of those 650 math students, 130 are also in science (since 130 are in both classes).
The probability we're after is therefore 130/650 = 0.20
Answer:
The coordinates of point B is (8,-4)
Step-by-step explanation:
Midpoint of a line segment: It is the point on the line segment that divides the segment in two congruent segments.
Since it is given that C is the midpoint of Line segment AB.
Mid-point of a segment of end points
and
is, C=
.
As, given the coordinates of A and C are (2,4) and (5,0)
then, we have
,
;
and 
to find the coordinates of
.

Simplify:

⇒ 
to solve for
we have, 
or
or
= -4
so, the values of
and 
Therefore, the coordinates of point B is (8,-4)
Answer:
B
Step-by-step explanation:
Divide 16 by 2 first following PEMDAS.
10 - 8
Solve
2
Answer:
26 square meters (the first option)
Step-by-step explanation:
The area of a trapezoid is (b1+b2)/2*h.
b1=one of the bases (one of the bases that are parallel to each other)
b2= the other base (that is parallel to base 1)
h=height
In this picture, b1=5, b2=8, h=4
So, the area is
(5+8)/2*4
=13/2*4
=6.5*4
= 26 square meters