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adoni [48]
3 years ago
15

To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8

slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?
Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

0.339

Step-by-step explanation:

Given that :

Total number of songs = 12

Number of songs to choose = 8

Total number of draws = 8

Selecting 2 of the 4 songs with syprano solos : 4C2

The 6 remaining songs from. The rest:

12-4C8-2 = 8C6

Total possible selections = 12C8

Hence,

probability that the set s/he chooses contains two of the four songs that have soprano solos will be :

(4C2 * 8C6) / 12C8

(6 * 28) / 495

168 / 495

= 0.339

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Anna71 [15]

Answer: 40 seconds. This is the equation graphed

7 0
3 years ago
Find three consecutive even integers. Such that 7 times of first integer is 4 more than the sum of second and third integers
attashe74 [19]

Answer:

1st even integer = 2

2nd even integer = 4

3rd even integer  = 6

Step-by-step explanation:

Let the consecutive even integers be:

1st = 2(x)

2nd= 2(x +1) = 2x + 2

3rd = 2(x + 2) = 2x + 4

According to Given conditions:

7(2x) = 4 +  2x +2 + 2x + 4

By Simplifying:

14x = 10 + 4x

Subtracting 4x from both sides

14x - 4x = 10 + 4x -4x

10x = 10

Dividing both sides by 10 we get:

x = 1

Now putting value of x in supposed integers:

1st even integer = 2(1) = 2

2nd even integer = 2(1)+2 = 4

3rd even integer = 2(1) + 4 = 6

I hope it will help you!

3 0
3 years ago
A backyard pool has a concrete walkway around it that is 5 feet wide on all sides. The total are of the pool and the walkway is
mrs_skeptik [129]

Answer:

Step-by-step explanation:

<u>Pool:</u>

Width = x ft

Length = (x+6) ft

<u>Pool along with walkway:</u>

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

6 0
3 years ago
Read 2 more answers
Consider an experiment where we ask what type of car – either domestic (e.g., Chevrolet, Ford, Chrysler, etc.), foreign built ab
Nostrana [21]

Answer:

12^{20} outcomes for this sample space (under some considerations)

Step-by-step explanation:

Let's define the multiplication principle.

If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are

(n1) x (n2) x ... x (ni)

In this exercise n1 = domestic

n1 is the total classes for domestic category

(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)

n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)

n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)

n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4

The possible outcomes for one person in the experiment are

(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)

Where what it is brackets are the possible categories for that classification.

n1.n2.n3.n4=3.1.1.4=12

We have 20 different people then 12^{20} are the possible outcomes sample space

In the sample space there are 12^{20} outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.

7 0
3 years ago
9x+13=10x+15
agasfer [191]

Answer:

the answer is right so idk

Step-by-step explanation:

8 0
3 years ago
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