A Nashville-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 45% are sung by a female singer, 45% are sung by a male singer, and 10% are instrumental with no vocals. What is the probability that a particular set of 3 songs contains exactly 2 female singers and 1 male singer? (Hint: Be aware that there are multiple ways to achieve this pattern of songs.)

Answers

Answer 1

Answer: The answer is 27.3375%.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied.

So, we have three events occurring simultaneously:

1. set contains female singer: 45% = 0.45

2. set contains female singer: 45% = 0.45

3. set contains female singer: 45% = 0.45

Also, it should be taken into consideration that there are three set combinations:

female-female-male,

female-male-female,

male-female-female

So, the probability for one set of the song is:

0.45 × 0.45 × 0.45 = 0.091125

Therefore, the probability is multiple ways to achieve this pattern of songs):

3 × 0.091125 = 0.273375 = 27.3375%.

Answer 2

Answer:

Answer:

B) 2187/8000

Step-by-step explanation:

do the math

trust

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Factorise it step by step
4r²-7r+3

Answers

To factor the quadratic expression 4r² - 7r + 3, we can use the factoring method. We're looking for two binomials in the form (ar + b)(cr + d) where ac = 4, ad + bc = -7, and bd = 3. Here's how to factor it step by step:

Step 1: Multiply the leading coefficient (4) by the constant term (3). This gives us 4 * 3 = 12.

Step 2: Find two numbers that multiply to 12 (the result from step 1) and add up to the middle coefficient (-7). These numbers are -4 and -3 because (-4) * (-3) = 12, and (-4) + (-3) = -7.

Step 3: Rewrite the middle term (-7r) using the numbers from step 2 (-4 and -3). We split the middle term like this:
4r² - 4r - 3r + 3

Step 4: Group the terms and factor by grouping:
(4r² - 4r) - (3r - 3)

Step 5: Factor out the greatest common factor from each group:
4r(r - 1) - 3(r - 1)

Step 6: Now you can see that (r - 1) is a common factor in both terms. Factor it out:
(r - 1)(4r - 3)

So, the factored form of the quadratic expression 4r² - 7r + 3 is (r - 1)(4r - 3).

Five times a number is 40. What is the number?
equation:

n =

Answers

5n = 40
n = 8 (Divide everything by five)

If you need further help just ask.

2. Serena paid $154.99 for a game system and then bought fourequally-priced games. If she spent a total of $224.97, what is the price.
p of one game? write and solve an equation.

Answers

The equation for the cost value is 154.99 + 4p = 224.97 and the price for one game is $17.50.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let's call the price of one game "p".

Serena bought four games, so the total cost of the games is 4p.

We know that the total amount she spent, including the game system, is $224.97.

So we can write an equation -

154.99 + 4p = 224.97

To solve for p, we can isolate the variable on one side of the equation by subtracting 154.99 from both sides, and then divide by 4 -

4p = 69.98

p = 69.98 / 4

p = 17.495

Rounding to two decimal places, the price of one game is $17.50.

Therefore, the price value is obtained as $17.50.

To learn more about equation from the given link

brainly.com/question/28871326

#SPJ1

What is the difference between the highest and the lowest temperature, -6 -8 -4 7 6 -2

Answers

The difference between the highest and the lowest temperature is 9 because the highest number is 7 and the lowest number is -2 so the difference is 9.

The types of flowers shown in the table make up an arrangement. What percent of the flowers in the arrangement are rosesFlower Arrangement
Lilies: 4
Roses: 15
Snapdragons: 6

Answers

step 1) 4 lilies + 15 roses + 6 snapdragons = 25 total flowers which equals 100%
step 2) 15 roses / 25 total flowers IS EQUAL TO x% / 100%
step 3) cross multiply
1500 = 25x
step 4) divide
1500/25 = 25x/25
answer: x= 60%

I think it is 60% cause 15 ÷ 25= 0.6

Helpppp!!!!!!! nowww!!!

Answers

Answer:

D. 1 1/2

Step-by-step explanation:

Simply divide 450 by 300. It's that simple.

Hope this helps!

Please mark me brainliest if I helped you! Thanks! :)

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