Answer:
122 students (Answer C)
Step-by-step explanation:
40 percent of the 305 total students comes out to 0.40(305 students), or
122 students.
This corresponds to answer C. 122 students play an instrument.
Answer:
About 37% of the box
Step-by-step explanation:
Step-by-step explanation:
we have y intercept -10
and slope 3
we know the equation of line in slope -intercept form
y=mx+b
where m is slope and b is y-intercept
so the final equation would be
y=3x-10
Answer:
<em>B) 24</em>
<em>D) 48</em>
<em></em>
Step-by-step explanation:
Given:
Two fractions
To find:
Number that can be chosen as Common denominator such that numerator is also a whole number ?
Solution:
Common denominator for two fractions 
and 
is chosen as LCM or multiple of LCM of (q, s).
OR
Common denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.
The denominators of the given fractions are 6 and 8.
Let us factorize and try to find the LCM of 6 and 8.
Common part of the denominators (as underlined) will be taken only once.
So, 
Multiples of LCM, 24 = 48
So, the correct answers are:
<em>B) 24 </em>and
<em>D) 48</em>
Answer:
P(A ∩ B) = 0.
a) NO
b) YES
Step-by-step explanation:
Thinking about this through Venn diagrams we can sort of understand that:
if P(A) = 0.2 and P(B) = 0.2, and P(A∪B) = 0.4.
there's no overlapping between P(A) and P(B).
(If there was overlapping then P(A∪B) < 0.4, since you'd be excluding the overlapped part from getting counted twice.
Think of it in terms of calculating areas circles A and B, if the circles were disjoint, then the sum of the areas A and B would be 0.2+0.2. But if the circles were overlapping then the sum of the areas would be 0.2+0.2-P(A ∩ B), where P(A ∩ B) is the overlapping part)
since there's no overlapping P(A ∩ B) = 0.
a) NO
events A and B are only independent when P(A ∩ B) > 0 (or overlapping)
b) YES
events A and B are mutually exclusive when P(A ∩ B) = 0 (or disjoint)
