We know that h = 65 ft and the angle of elevation to the top is α = 56°.
x - the length of the support wire;
x · cos 56° = 65
x = 65 / cos 56°
x = 65 / 0.5592
x = 116.237 ≈ 116.2 ft ( to the nearest tenth )
Answer: The support wire is 116.2 ft long.
<span>2/5(10x - 10y) - 3/4(12x - 24y)
=4x - 4y - 9x + 18y
= -5x + 14y
answer is </span><span>A) -5x + 14y </span>
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,
![P(A\cap B)=P(A)\times P(B)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3DP%28A%29%5Ctimes%20P%28B%29)
Compute the value of P (<em>X ∩ Y</em>) as follows:
![P(X\cap Y)=P(X)\times P(Y)=0.50\times 0.0001=0.00005](https://tex.z-dn.net/?f=P%28X%5Ccap%20Y%29%3DP%28X%29%5Ctimes%20P%28Y%29%3D0.50%5Ctimes%200.0001%3D0.00005)
Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.