Answer:
156 inches^2
Step-by-step explanation:
The area of a triangle is 1/2 base x height
All of the triangles have a base of 6 inches and a height of 10 inches.
so 1/2 6 x 10= 30
There are 4 triangles with an area of 30 square inches
and then the square in the middle has a length of 6 in and a width of 6 in so it has an area of 36 in^2
so in total you would have 30+30+30+30+36, or 156
Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598
Answer:

Step-by-step explanation:
Number of red balls = 4
Number of green balls = 6
Total number of balls = 6+4 =10
Probability of drawing a green marble is given as
⇒ 
⇒ 
The ball is replaced after drawing.
Probability of drawing a green ball a second time will be:
⇒ 
⇒ 
Thus, probability of drawing 2 green balls with replacement can be given as:
⇒ (Probability of drawing a green marble)
(Probability of drawing a green ball a second time)
⇒ 
⇒ 
Simplifying fraction by dividing numerator and denominator by their GCF.
⇒ 
⇒
(Answer)