Basically almost the same as your other answers, Emily lost $55, or -55.
Answer:
Step-by-step explanation:
Let be "x" the speed of current (in mph).
According to the exercise, we know that the speed of the steamer in still water is 18 mph, so its speed downstream with the water current is:
Since going downstream it convered the distance between the two ports in 3 hours, then distance is:
[Equation 1]
The speed upstream in mph can be represetend with:
You know that the return trip took 3 hours 40 minutes. Since there are 60 minutes in 1 hour, this time is:
Therefore, the distance travelled upstream is:
[Equation 2]
Make and solve for "x":
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
2. The two equal angles (θ) can be found using the following trigonometric identity:
Hence, the two equal angles are 44°.
I hope it helps you!
Answer:
d= 3 2/3
Step-by-step explanation:
distribute the 3
combine like terms
add -19 to both sides
divide by 6 on each side
d=3 2/3
The conditions are suitable to be modelled using a binomial distribution.
p=0.43
n=15
x=5
P(x=5)
=C(15,5)*0.43^5*(1-0.43)^(15-5)
=15!/(5!(15-5)!)*0.43^5*(1-0.43)^(15-5)
=3003*0.0147008*0.003620333
=0.1598