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Nookie1986 [14]
3 years ago
13

A survey of U.S. adults who attend at least one music concert a year found that 67% say concert tickets are too expensive. You r

andomly select 12 adults who attend at least one music concert a year and ask them if concert tickets are too expensive. (Remember to make correction)
A)Find the probability that fewer than 4 people say that concert tickets are too expensive.
B)Find the probability that between 7 and 9 people, inclusive, say that concert tickets are too expensive.
C)Find the probability that at most 10 people say that concert tickets are too expensive.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer: b

Step-by-step explanation: step  step

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2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if
Darina [25.2K]

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • About 30% of frozen chickens are contaminated, hence p = 0.3.
  • Chickens are delivered to grocery stores in crates of 24, hence n = 24.

The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002

P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020

P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097

P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305

P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687

Hence

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0
3 years ago
Dividing polynomials. Aka the worst math subject ever<br><br> (X^3+729) / (x+8)
Deffense [45]

Answer:

x^2 - 8x + 64 remainder 217 or you could write it as

(x^2 - 8x + 64)+ 217/(x + 8)

Step-by-step explanation:

You first need to write the polynomial in descending order of degree with zero coefficients for x^2 and x terms, so here we have:

x^3 + 729  =   x^3 + 0x^2 + 0x + 729

So dividing by x+8:-

          x^2 - 8x + 64    <----------the quotient.

x + 8 ) x^3 + 0x^2 + 0x + 729

          x^3 + 8x^2

                 - 8x^2 + 0x

                 -8x^2 - 64x

                              64x + 729

                               64x + 512

                                          217 = Remainder.

6 0
4 years ago
PLEASE HELP 100 POINTS AND BRAINLIEST DUE IN 2 MINUTES
victus00 [196]

Answer:

280

Step-by-step explanation:

because I just know. it is that because I know

3 0
2 years ago
Read 2 more answers
X<br> =<br> −<br> 3<br> when <br> y<br> =<br> −<br> 27
Black_prince [1.1K]

Carla is dEliCiOuS

-Dina Fritz (Aka. Smiling Titan :))

Step-by-step explanation:

4 0
3 years ago
Shawns rentals charges $27.50 per hour to rent a surfboard and a wet suit. Darlas surf shop charges $23.25 per hour to rent a su
horrorfan [7]

Answer:

4 hours

Step-by-step explanation:

For this, we can set up an equation

We can name the total number of hours x.

So the price for Shawns rentals would be as follows:

27.50x

and Darlas surf shop would be:

23.25x+17

Now, we put these into an equation.

We are trying to find for what number of x will the charges be equal, so we can make this equation:

27.50x=23.25x+17

Now we get the variables on one side, and the numerical values on the other.

We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)

4.25x=17

Divide both sides by 4.25.

x=4

You would rent the equipment for 4 hours to make the charges equal.

8 0
3 years ago
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