Answer:
As per the statement
The altitude of the balloon is 50 feet and the rope is 75 feet long.
⇒ Altitude of the balloon = 50 feet.
And length of the rope = 75 feet.
We have to find the angle that rope makes with ground,
Using Sine ratio:

You can see the diagram as shown below.
Here,
Opposite side = Altitude of the balloon = 50 feet.
Hypotenuse side = length of the rope = 75 feet.
Substitute the given values we have;

⇒
= 41.8°
Therefore, the angle that the rope makes with the ground is, 41.8 degree
Missing part of the question
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................
Answer:



Step-by-step explanation:
Given


Solving (a): The probability distribution of x
We have:


The probability of not having earthquake insurance (q) is:


If x has insurance, then n - x do not.
The distribution follows a binomial pattern. So, the probability distribution is:

Substitute 4 for n

Solving (b): The most likely value of x i.e. The mean
We have:
and




Solving (c): At least 2 of 4 selected have earthquake insurance.
This is calculated as







So:



--- approximated
Answer:
101
Step-by-step explanation:
Find the area of the left triangle
11 -8 = 3
A = l*w = 15*3 = 45
Then find the area of the right triangle
A = l*w = 8*7 = 56
Add the areas together
45+56 =101
There is no picture what do you mean
Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=