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AleksAgata [21]
3 years ago
5

What is the probability of rolling a number greater than 2 with a 6 sided die, three times in a row?

Mathematics
1 answer:
Fed [463]3 years ago
3 0
A number greater than 2 is: 3, 4, 5, 6
Roll 1: 4 numbers out of 6 numbers total = 4/6 = 2/3
Roll 2: (same as roll 1)
Roll 3: (same as roll 1)

Roll 1 AND Roll 2 AND Roll 3
 2/3      x      2/3       x     2/3    = 2³/3³ = 8/27

Answer: \frac{8}{27}
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The two numbers are 9 and 12.
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Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Anuta_ua [19.1K]

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Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

3 0
3 years ago
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If you ungroup 5,000 from 2,896 how do you explain the place value of 49910 to 5,000
katovenus [111]
You get all of the numbers and turn them too zeros except the first one
3 0
3 years ago
Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
Megan makes $480 a week and her boss wanted to give her
wel

Answer:

$537.60

Step-by-step explanation:

12% increase is the same as multiplying by 1.12, 480*1.12=537.60

5 0
3 years ago
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