The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225
The probability a surveyed driver is worried = 35%
- Number of people surveyed = 3
Since the probability of being worried is independent ;
- Probability = P(A) × P(B) × P(C)
The probability that all 3 surveyed are worried :
- P(worried) × P(worried) × P(worried)
- (0.35 × 0.35 × 0.35) = 0.1225
Therefore, the probability that all three people surveyed are worried is : 0.1225
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Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Answer:
14 cups
Step-by-step explanation:
1 l = 1000ml
to filled the jug we need 2.8 litres
2.8 l to ml
2.8 × 1000
= 2800ml
how many cup would give us 2800ml
2800 ÷ 200
=14 cups
Answer:
5.54 inches of rain
Step-by-step explanation:
Monday - 3.11
Tuesday - 0.81
Wednesday - 0.81 x 2= 1.62
3.11 + 0.81 + 1.62=5.54 inches