Answer:
0.20
Step-by-step explanation:
Given : The number of side dishes for the lunch menu =6
The number of ways to select 3 dishes from 6 :
Total outcomes :
If applesauce and broccoli is already selected , then we need to select only one dish out of remaining 4 dishes.
Number of ways to select 1 dish from 4 :
Favorable outcomes:
Now, the theoretical probability that applesauce and broccoli will both be offered on Monday :-
Hence, the theoretical probability that applesauce and broccoli will both be offered on Monday = 0.20
Step-by-step explanation:
Answer:
(4.0) and (6.0)
Step-by-step explanation:
when the function cross the x- axis
the y-coordinate equals to zero
x2 - 10x + 24=0
x=6,4
y=0
Answer:
7, 9, 11
Step-by-step explanation:
x+x+2+x+4=5(x+2)-18
3x+6=5x+10-18
3x+6=5x+-8
3x=5x+-14
-2x=-14
x=7
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where 
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
