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erma4kov [3.2K]
3 years ago
8

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. What’s the probability of rolling

a 6.
Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

8.33333333%

Step-by-step explanation:

You have to divide 100 by 12.   Then that number is your percentage.

BigorU [14]3 years ago
6 0

Answer:

8.3%

Step-by-step explanation:

There are 12 total events (for the 12 numbers) and one preferred event (for rolling the number 6).

\frac{preferred}{total} =\frac{1}{12} =0.08333333333 = 8.3%

There should be an 8.3% chance that you would roll six.

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253 - 17 X3<br> 85 + 52 - 36
julia-pushkina [17]

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4 0
3 years ago
What is the measure of angle R?
tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}

Take only two sides.

$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}

Substitute the given values.

$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}

Do cross multiplication.

\Rightarrow36\times\sin R = \sin50^\circ\times20

sin 50° = 0.766

\Rightarrow36\times\sin R = 0.766\times20

\Rightarrow36\times\sin R = 15.32

$\Rightarrow\sin R = \frac{15.32}{36}

$\Rightarrow\sin R = 0.4255

$\Rightarrow R = \sin^{-1}(0.4255)

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0
3 years ago
What is 0.85 as fraction? Show your work please and thank you!
Levart [38]

Answer:

85/100

Step-by-step explanation:

There are only 2 numbers after the decimal point which means that is 0/100. You would get 85/100 and you can't simplify more than that.

Hope This Helps :)

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3 years ago
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