Answer:
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
Step-by-step explanation:
Let x is the number of defective sets purchased by the hotel.
Total number of television sets = 7
Total number of defective television sets = 2
Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.
If X=0,
If X=1,
If X=2,
The probability distribution is
X : 0 1 2
f(X) : 2/7 4/7 1/7
The probability histogram is shown below.
Answer:
A.
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.
Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.
Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
Answer:
Step-by-step explanation:
<u>Right Triangles </u>
In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including
where a is the opposite leg to and c is its adjacent led .
In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.
The height of the statue is h=a+b, where
Thus
