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vampirchik [111]
2 years ago
9

You randomly choose one marble from the jar. Find the theoretical probability of the event.

Mathematics
1 answer:
zysi [14]2 years ago
4 0

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

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Help me on this please!
PilotLPTM [1.2K]
(6 × 10⁷)/(5 × 10⁴)

We could simplify the exponential number of 10 by substracting the exponent number, it could be written as
= 6/5 × 10⁷⁻⁴
= 6/5 × 10³
= 1.2 × 10³
(This is the final answer)
5 0
3 years ago
How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
ziro4ka [17]

Answer:

\displaystyle x = \frac{\pi}{3} +k\, \pi or \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi, where k is an integer.

There are three such angles between 0 and 2\pi: \displaystyle \frac{\pi}{3}, \displaystyle \frac{2\, \pi}{3}, and \displaystyle \frac{4\,\pi}{3}.

Step-by-step explanation:

By the double angle identity of sines:

\sin(2\, x) = 2\, \sin x \cdot \cos x.

Rewrite the original equation with this identity:

2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0.

Note, that 2\, (2\, \sin x \cdot \cos x) and (-2\, \sin x) share the common factor (2\, \sin x). On the other hand, 2\sqrt{3}\, \cos x and (-\sqrt{3}) share the common factor \sqrt[3}. Combine these terms pairwise using the two common factors:

(2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0.

Note the new common factor (2\, \cos x - 1). Therefore:

\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0.

This equation holds as long as either \left(2\, \sin x + \sqrt{3}\right) or (2\, \cos x - 1) is zero. Let k be an integer. Accordingly:

  • \displaystyle \sin x = -\frac{\sqrt{3}}{2}, which corresponds to \displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi and \displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi.
  • \displaystyle \cos x = \frac{1}{2}, which corresponds to \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi and \displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi.

Any x that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:

  • \displaystyle x = \frac{\pi}{3} + k \, \pi (from \displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi and \displaystyle x = \frac{\pi}{3} + 2\, k \, \pi, combined,) as well as
  • \displaystyle x =- \frac{\pi}{3} +2\,k\, \pi.
7 0
3 years ago
5 1/3 + -3 9/16. 5 1/3 + -3 + 9/18
ohaa [14]
Name them as vertices A,B,C , D and E in that order.


5 0
3 years ago
How do you do application of linear equations
Blababa [14]
You can use linear equations if something is being raised or decreased with the same linear function. Such as temperature or the amount of books that get sold.
8 0
3 years ago
Do I multiply these fractions or how do I get the simplified answer
timama [110]

Answer:

Step-by-step explanation:

you have to add all the fractions to find the perimeter

10 1/7+10 1/7= 20 2/7 (width)

20 2/7+35 3/7(length) =55 5/7

12 2/7+12 2/7=24 4/7

55 5/7+24 4/7= 79 9/7=80 2/7

80 2/7+ 15 3/14+ 24 1/14= 562/7+ 213/14+337/14= (1124+213+337)/14

=1674/14=119 8/14= 119 4/7

6 0
2 years ago
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