Please help ASAP! Only answer if you know the correct answer! Thanks :)

Mathematics

1 answer:

HACTEHA [7]2 years ago

5 0

NshsgsvshdjaoMashsnsmska

You might be interested in

Suppose that the die is rolled twice, rather than once. find the probability of rolling an even number on at least one die. find

puteri [66]

We know P = 1/2

X~B(2, 0.5)
n = 1

2C1 from pascal triangle = 2

P(X=0.5)= 2C1 x 0.5 x 0.5

= 0.5
= 50%

7 0

3 years ago

Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?

bagirrra123 [75]

$\bf \begin{array}{clclll}
-6&+&6\sqrt{3}\ i\\
\uparrow &&\uparrow \\
a&&b
\end{array}\qquad 
\begin{cases}
r=\sqrt{a^2+b^2}\\
\theta =tan^{-1}\left( \frac{b}{a} \right)
\end{cases}\qquad r[cos(\theta )+i\ sin(\theta )]\\\\
-------------------------------\\\\$

$\bf r=\sqrt{(-6)^2+(6\sqrt{3})^2}\implies r=\sqrt{36+(6^2\cdot 3)}\implies r=\sqrt{144}
\\\\\\
r=12\leftarrow 
\\\\\\
\theta =tan^{-1}\left( \frac{6\sqrt{3}}{-6} \right)\implies \theta =tan^{-1}\left( -\sqrt{3}\right)\implies \theta =
\begin{cases}
\frac{2\pi }{3}\leftarrow \\
\frac{5\pi }{3}
\end{cases}$

now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.

thus $\bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]$

5 0

3 years ago

Y = 2x + 3 2y = 4x + 6 The system of equations has _____ solution(s).

Len [333]

Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions

6 0

3 years ago

What is the equation of the following line written in general form? (The y-intercept is 7.)

Viktor [21]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$