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Serggg [28]
3 years ago
15

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

hat is the original price to the nearest cent?
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
$26.79
If you took 30% of 26.79 you get 8.037
Subtract: 26.79-8.037 = 18.753
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Each article will be 1.25
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Which is the graph of the inequality? 3y - 9x ≥ 9
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Step-by-step explanation:

Use this calculator to check your answers and help explain the equation step by step.

www.quickmath.com

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Nine tiles are numbered $\color[rgb]{0.35,0.35,0.35}1, 2, 3, \ldots, 9$. Each of three players randomly selects and keeps three
Eduardwww [97]

The probability that all three players obtain an odd sum is 3/14.

<h3>What is probability?</h3>

The probability is the ratio of possible distributions to the total distributions.

I.e.,

Probability = (possible distributions)/(total distributions)

<h3>Calculation:</h3>

Given that,

There are nine tiles - 1, 2, 3,...9, respectively.

A player must have an odd number of odd tiles to get an odd sum. That means he can either have three odd tiles, or two even tiles and an odd tile.

In the given nine tiles the number of odd tiles = 5 and the number of even tiles = 4.

The only possibility is that one player gets 3 odd tiles and the other two players get 2 even tiles and 1 odd tile.

So,

One player can be selected in ^3C_1  ways.

The 3 odd tiles out of 5 can be selected in ^5C_3 ways.

The remaining 2 odd tiles can be selected and distributed in ^2C_1 ways.

The remaining 4 even tiles can be equally distributed in \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !} ways.

So, the possible distributions = ^3C_1 × ^5C_3 × ^2C_1 × \frac{4 ! \cdot 2 !}{(2 !)^{2} \cdot 2 !}

⇒ 3 × 10 × 2 × 6 = 360

To find the total distributions,

The first player needs 3 tiles from the 9 tiles in ^9C3=84 ways

The second player needs 3 tiles from the remaining 6 tiles in ^6C_3=20 ways

The third player takes the remaining tiles in 1 way.

So, the total distributions = 84 × 20 × 1 = 1680

Therefore, the required probability = (possible distributions)/(total distributions)

⇒ Probability = 360/1680 = 3/14.

So, the required probability for the three players to obtain an odd sum is 3/14.

Learn more about the probability of distributions here:

brainly.com/question/2500166

#SPJ4

3 0
1 year ago
In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen t
zheka24 [161]

Answer:

  B. F:S = 17 to 19; S:F = 19 to 17

Step-by-step explanation:

Put the corresponding numbers in the corresponding parts of the ratio you want to write:

  freshmen to sophomores (F:S)

  17 to 19

___

  sophomores to freshmen (S:F)

  19 to 17

These pairs of numbers match choice B.

5 0
3 years ago
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