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umka21 [38]
3 years ago
13

Dependent probability

Mathematics
1 answer:
mina [271]3 years ago
8 0
4/13 chance to get green and 6/13 to get red
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Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the tr
serg [7]

The probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

The true proportion given to us (p) = 0.07.

The sample size is given to us (n) = 313.

The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.

The mean (μ) = p = 0.07.

Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.

We are asked the probability that the sample proportion will be less than 0.04.

Using normal distribution, this can be shown as:

P(X < 0.04),

= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},

= P(Z < -2.0802)

= 0.0188 or 1.88% {From table}.

Thus, the probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

Learn more about the probability of sampling distributions at

brainly.com/question/15520013

#SPJ4

5 0
1 year ago
Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
romanna [79]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds. Correct option B).

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

⇒ 4x-7\leq 9

⇒ 4x\leq 16

⇒ \frac{4x}{4}\leq \frac{16}{4}

⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

4 0
3 years ago
Giving branlist if you get it correct!!!
FinnZ [79.3K]

Answer:

x - 10  = 28

Step-by-step explanation:

3 0
3 years ago
1. La suma de dos números es 115. El número mayor es dos veces más 22 unidades que el otro. Hallar
Lerok [7]

De acuerdo con un sistema de ecuaciones, tiene-se que los números son 31 y 84.

----------------

  • En el sistema de ecuaciones, tiene-se que los números son x e y.
  • Suma de 115, o sea, x + y = 115
  • <u>El número mayor es dos veces más 22 unidades que el otro</u>, o sea, x = 2y + 22

----------------

Primero se encuenta el número menor, <u>reemplazando la segunda ecuación en la primera:</u>

x + y = 115

2y + 22 + y = 115

3y = 93

y = \frac{93}{3}

y = 31

----------------

El número mayor es dado en <u>función de el menor</u>, o sea:

x = 2y + 22 = 2(31) + 22 = 62 + 22 = 84

Los números son 31 y 84.

Otro problema resuelto por sistema de ecuaciones es dado en brainly.com/question/24637096

6 0
2 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
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