blue marbles
y = yellow marbles
Sum = b+y
The <span>chance of a blue marble being drawn first is:
b / (b+y) = 0.55
</span>The <span>chance of a blue marble being drawn first then a yellow next is:
</span>b / (b+y) * y / (b+y-1) = 0.37
This can be solve easily by using a theorem of Bayes
0.37/0.55 = .67 or 67%
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.

Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.

So x = 29.0521°. Since x < 30°, it is a safe landing.
Easiest way I could think of is choose a point in the gray area and use the X,Y to plug into the answers whichever one makes sense is correct.
Given:
The function is:

To find:
The steps of finding the inverse function
.
Solution:
We have,

The steps of finding the inverse function are:
Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Taking square on both sides, we get

Step 4: Adding 21 on both sides, we get

Step 5: Divide both sides by 7.

Step 6: Substitute
.
, where
.
Therefore, the inverse of the given function is
and the arrangement of steps is shown above.