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sineoko [7]
4 years ago
8

A twelve-sided die has the numbers one through twelve on the faces of the die. When the die is rolled, what is the probability t

hat the number on top is an odd number?
Mathematics
1 answer:
Goshia [24]4 years ago
4 0
I believe the percentage of this is 50%. Half the numbers are even, and half are odd. Your fraction is
\frac{6}{12}
Simplified, that's a 50% probability.
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How do i solve for y:<br> 2x-3y=8<br><br> Please help me
Mademuasel [1]
You have to leave Y by itself in one side. To do that, you need to subtract 2x from both sides. You're now left with -3y = 8-2x. Last step is that you divide 3y, 8, and -2 by -3. 

Good luck :)
7 0
3 years ago
Read 2 more answers
The third through the fifth terms of a geometric sequence are given by a3 = 18, a4 = 27 , and a5 = 81/2
Kaylis [27]

Let <em>a</em> be the first term in the sequence. If <em>r</em> is the ratio between consecutive terms, then the second term is <em>ar</em>, the third term is <em>ar </em>^2, the fourth is <em>ar</em> ^3, and so on, up to the <em>n</em>-th term <em>ar</em> ^(<em>n</em> - 1).

So the third, fourth, and fifth terms are such that

<em>ar</em> ^2 = 18

<em>ar</em> ^3 = 27

<em>ar</em> ^4 = 81/2

Solve for <em>a</em> and <em>r</em> :

(<em>ar</em> ^3) / (<em>ar</em> ^2) = 27/18   =>   <em>r</em> = 3/2

<em>ar</em> ^2 = <em>a</em> (3/2)^2 = 9/4 <em>a</em> = 18   =>   <em>a</em> = 8

Then the <em>n</em>-th term in the sequence is

<em>ar</em> ^(<em>n</em> - 1) = 9 (3/2)^(<em>n</em> - 1)

You can rewrite this by first rewriting 9 = 3^2, then

9 (3/2)^(<em>n</em> - 1) = 3^2 * 3^(<em>n</em> - 1) / 2^(<em>n</em> - 1) = 3^(<em>n</em> + 1)/2^(<em>n</em> - 1)

6 0
3 years ago
Due to recent energy crisis in California, rolling blackouts were necessary and more might be necessary in the future. Assume th
Illusion [34]

Answer:

The probability of the temperature exceeding 65 degrees Fahreneit but not needing a rolling blackout is 0.4- Hence, there is a 40% chance.

Step-by-step explanation:

Lets call F the event 'the temperature will exceed 85 degrees Fahrenheit' and B the event 'a blackout will be needed'.

We want P(F ∩ B^c), note that if F happens, there could be 2 disjoint possible events: B or B^c, hence

P(F) = P(F ∩ B) + P(F ∩ B^c)

Hence

P(F ∩ B^c) = P(F) - P(F ∩ B) = 0.6 - 0.2 = 0.4

7 0
4 years ago
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The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
liubo4ka [24]

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

5 0
3 years ago
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Please show step by step answer NO MIXED NUMBER/DECIMAL ANSWERS!!!
PolarNik [594]

Answer:

Step-by-step explanation:

5 0
2 years ago
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