Answer:
a) P) 0.25 = 1/4 both
b) P) 0.75 = 3/4 one
c) P) 0.25 = 1/4 none
Step-by-step explanation:
4 routes to D + H
6 routes to H + S
= D H S
4 | 6
- 2 | -3
= 2 | 3 = route 1 = 2/4 and route 2 = 3/6
= 1/2 route 1 and 1/2 route 2
Answer a ) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
Answer b) = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability
Answer c) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
Answer:
g = 
Step-by-step explanation:
x = 3g + 2 ( subtract 2 from both sides )
x - 2 = 3g ( divide both sides by 3 )
= g
Answer:
PQRS and TUVW are similar.
Step-by-step explanation:
We are give two polygons.
Sides of first polygon are :
PQ = 8 ft
QR= 13ft
RS = 8ft
PS = 13ft.
Sides of second polygon:
TW = 2.4 ft
TU = 5.2 ft
UV = 2.4 ft
VW = 5.2 ft.
We can see that PQRS and TUVW are parallelograms.
Note: <em>If an angle of a parallelogram is equal to an angle of another parallelogram then parallelograms would be similar.</em>
We can see that <Q ≅ <T = 120°.
<h3>Therefore, PQRS and TUVW are similar.</h3>
Answer:
Yes they are directly proportional quantities.
Step-by-step explanation:
We find the area of a square by;
A = length squared or (L)² , where 'L' stands for length and 'A' stands for area.
So Area = L²
Assume the length is a units and increase the length by 2 units
The initial area before increasing the length is a²
After increasing the length, the area becomes: (a + 2)² = a² + 4a + 4
Now we subtract the initial area from the final area and get;
(a² + 4a + 4) - a² = 4a + 4
So the new area increases by 4a + 4 units.
Hence, the area increases as the length increases implying that the area of a square is directly proportional to its length.
We denote this proportionality as;
A ∝ L
