213+497=710 total students, so 213 wore a silly hat so that would be 30% wore the silly hats
Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
Answer:
12.3%
Step-by-step explanation:
In this case, despite being different events, they are dependent on each other, therefore the final probability would be the multiplication of both probabilities.
So let L be the probability of being late that is equal to 41% and let T be the probability that the train will leave you and is equal to 30%.
That is to say:
L = 41% = 0.41
T = 30% = 0.3
So:
P = L * T
P = 0.41 * 0.3 = 0.123
So it means that the final probability is 12.3%
Answer:
1 cm : 250 m
Step-by-step explanation:
the scale is 4 cm : 1 km
4 cm/4 : 1 km/4
1 cm : 250 m