Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinXZY =
=
=
, then
∠ XZY =
(
) ≈ 23.6° ( to 1 dec. place )
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2
Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0
So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12
So, In short that numbers would be 12,12
Hope this helps!
Step-by-step explanation:
so we can't do anything with this, what is the task
Answer:
TX: 0.23
LA: 0.24
MS: 0.03
AL: 0.03
FL: 0.47
Step-by-step explanation:
In the figure attached, the map is shown.
Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles
probability of the ship landing in Texas: 367/1631 = 0.23
probability of the ship landing in Louisiana: 397/1631 = 0.24
probability of the ship landing in Mississippi: 44/1631 = 0.03
probability of the ship landing in Alabama: 53/1631 = 0.03
probability of the ship landing in Florida: 770/1631 = 0.47