How can you find the probability of a simple event if the total number of equally likely outcomes is 20?

The equation tan(x- pi/3) is equal to _____.

kherson [118]

Answer:

B

Step-by-step explanation:

Using the expansion

tan(x - y) = $\frac{tanx-tany}{1+tanxtany}$ , then

tan(x - $\frac{\pi }{3}$ )

= $\frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }$

note that tan( - $\frac{\pi }{3}$ ) = - tan( $\frac{\pi }{3}$ ) = - $\sqrt{3}$

= $\frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }$

= $\frac{tanx+\sqrt{3} }{1-\sqrt{3}tanx }$ → B

6 0

3 years ago

Read 2 more answers

indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and

vladimir1956 [14]

The equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is <u>12x - 2y = 13</u>.

In the question, we are asked to indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5).

The slope of the line with endpoints (-1,6) and (5,5), can be calculated as:

m = (6 - 5)/(-1 - 5) = 1/(-6) = -1/6.

Thus, the slope of the perpendicular bisector = -1/m = -1/(-1/6) = 6.

The perpendicular bisector passes through the midpoint of the line with endpoints (-1,6) and (5,5), which can be calculated as:

(x₁, y₁) = ( {(-1 + 5)/2},{(6 + 5)/2} ),

or, (x₁,y₁) = (2, 11/2).

Thus, the required equation can be shown as:

(y - 11/2) = 6(x - 2), which can be shown in the standard form as follows:

(2y - 11)/2 = 6x - 12,

or, 2y - 11 = 12x - 24,

or, 12x - 2y = 13.

Thus, the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (-1,6) and (5, 5) is <u>12x - 2y = 13</u>.

Learn more about the equation of perpendicular bisector at

brainly.com/question/20608689

#SPJ4

4 0

1 year ago

The county hospital is located at the center of a square whose sides are 3 miles wide. If an accident occurs within this square,

Dmitry_Shevchenko [17]

Answer:

3

Step-by-step explanation:

The x-coordinate of the accident is a random variable of uniform distribution with range [-1.5,1.5]. The same can be said for the y-coordinate. However, |x| and |y| are also uniform variables with range [0,1.5], since we still have the same probability on every pair of intervals with the same lenght.

Note that |X| and |Y| are independent with each other, therefore E(|x|+|y|) = E(|x|) + E(|y|) = 2*E(|x|). The last equality holds because both x and y are identically distributed, then so are |x| and |y|.

E(|x|) = $\int\limits^{1.5}_0 {\frac{x}{1.5} \, dx = \frac{2}{3}* ((1.5^2)/2 - 0^2/2) = \frac{3}{2}$

Therefore, E(|x| + |y|) = 2 * 3/2 = 3.

I hope that works for you!

4 0

3 years ago

Can someone answer these questions for me please

tino4ka555 [31]

I'll give you the equation with the problem's plugged in, but not the answer.

Formula: Volume = Base x Height

1. B= 5 in; H= 6 in; 5 x 6 = ?
2. B= 54 m; H= 5 m; 54 x 5 = ?

7 0

3 years ago

Suppose an egg is thrown off the top of a building 240 feet above ground. The height, h, in feet of the rock above the ground is

Nostrana [21]

<h2>Hello!</h2>

The answer is: D) 6.2 seconds

When the egg hit the ground, the height will be equal to 0, so, from the given equation we need to find the roots or zeroes.

It's a quadratic function, we can find the roots using the quadratic equation:

$\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$