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Vadim26 [7]
2 years ago
8

Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like

3 of the songs. With the random feature on your​ player, each of the 15 songs is played once in random order. Find the probability that among the first two songs played you will like both of them
Mathematics
1 answer:
Lilit [14]2 years ago
8 0
The given case is an example of permutation problem because the order is important given that you should like the first two songs. The sample space is calculated through the equation, 
                                       15P2 = 210
Then, there are 3 songs that you liked, the probability of picking 2 out of them is,
                                         3P2 = 6
Dividing the latter by the earlier result will give us an answer of 1/35. 
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What is the cross section of a cylinder that is perpendicular to the base through the center?
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The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

7 0
2 years ago
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Andrei [34K]

Answer:

a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas

5 0
3 years ago
Can someone please solve this using quadratic formula <br><br> 2x^2 -7x -15=0
saw5 [17]

Step-by-step explanation:

a=2

b=-7

c=-15

-(-7)+-sq root (-7)²-4(2)(-15) / 2(2)

7 +- sq root 169 / 4

7+- 13 / 4

7+13 / 4, 7-13 / 4

x=5 x=-3/2

7 0
3 years ago
ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Setler79 [48]

Answer:

<h2>54m²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

a=12m;\ b=15m;\ c=9m

Calculate:

p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

9m < 12m

Check:

9^2+12^2=81+144=225\\15^2=225

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

A=\dfrac{ab}{2}

<em>a, b</em><em> - legs</em>

Substitute:

A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)

6 0
3 years ago
How many solutions do these equations have y= 3x+4 y+6=3x
Nataly [62]

Answer:

Step-by-step explanation:

hello :

the system is :  y= 3x+4....(*)

                         y+6=3x....(**)

by (**) : y = 3x - 6

so : y= 3x+4

      y= 3x - 6

means :  3x+4 = 3x - 6

                     4= -6.......(false)

conclusion : no reals  solutions

5 0
2 years ago
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