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sergiy2304 [10]
2 years ago
12

2.- Supóngase que los diámetros de los tornillos fabricados por una compañía están distribuidos normalmente con una media de 0.2

5 pulgadas y desviación estándar de 0.02 pulgadas. Se considera defectuoso un tornillo si su diámetro es menor igual a 0.20 pulgadas o mayor igual a 0.28 pulgadas. Hallar el porcentaje de tornillos defectuosos producidos.
Mathematics
1 answer:
Sergio [31]2 years ago
3 0

Answer:

7.30167%

Step-by-step explanation:

Usando la fórmula de puntuación z

z = (x-μ) / σ, donde x es la puntuación bruta, μ es la media de la población y σ es la desviación estándar de la población

Para x <0.20 pulgadas

z = 0.20 - 0.25 / 0.02

z = -2.5

Valor de probabilidad de Z-Table:

P (x <0.20) = 0.0062097

Para x> 0.28 pulgadas

z = 0.28 - 0.20 / 0.02

z = 1.5

Valor de probabilidad de Z-Table:

P (x <0.28) = 0.93319

P (x> 0.28) = 1 - P (x <0.28) = 0.066807

La probabilidad de que se produzcan tornillos defectuosos cuando el tornillo se considera defectuoso si su diámetro es inferior a 0.20 pulgadas o superior a 0.28 pulgadas es

P (x <0.20) + P (x> 0.28)

= 0.0062097 + 0.066807

= 0.0730167

Conversión a porcentaje

= 0.0730167 × 100

= 7.30167%

El porcentaje de tornillos defectuosos producidos es

7.30167%

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Convert 1.5 cubic meter to ______ cubic centimeters.
Vedmedyk [2.9K]

Answer:

1500000 cubic centimeters

6 0
2 years ago
Read 2 more answers
Please answer both questions and show all work.
sammy [17]
(1) 6 1/3 = 76/12
2 3/4 =  33/12
___________+
109/12
divide and get 9 1/12
-----------------------------------
(2)3 1/2 = 43/12
5 1/2 = 66/12
*from first answer* 109/12
add and you get 218/12
divide and get the answer 18 1/6
Hope this helps you!
3 0
3 years ago
A bag of marbles contains 40 red marbles, 54 blue marbles, and 29 yellow marbles. Which of the following represents the ratio of
JulsSmile [24]

Answer:

\frac{29}{40}

Step-by-step explanation:

we know that

To find the ratio of yellow to red marbles, divide the numbers of yellow marbles by the number of red marbles

Let

x----->  the numbers of yellow marbles

y----> he number of red marbles

we have

x=29, y=40

so

\frac{x}{y}=\frac{29}{40}

8 0
3 years ago
6,000 dollars is invested in two different accounts earning 3%and 5% interest. At the end of the year, the two accounts earned 2
nadezda [96]
Hi there

To solve this question
0.03x+0.05 (6000-x)=220
Solve for x to know How much money was invested at 3%
First multiply the values
0.03x+0.05×6000-0.05x=220
0.03x+300-0.05x=220
Second calculate the difference and rearranging the values
0.03x-0.05x=220-300
-0.02x=-80
Divide both sides by-0.02 and divide the values
X=-0.02/-80
x=4000 invested at 3% this is the answer of your question

While the amount invested at 5% is
6000-4000=2000

Good luck!
5 0
3 years ago
Which of the following is a solution of the equation -5x + 2 = -13: answers: x=-9, x=75 x=3 x=-3
slamgirl [31]

Answer:

x= 3

Step-by-step explanation:

1. -5(3) + 2 = -13      

2. -15 + 2 = -13         <em>A positive times a negative will always equal a negative</em>

3. -13 = -13         <em>Whenever you add anything to a negative number, the                    </em>

<em>                            number becomes smaller   </em>

                     Ex:  -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...........

                           <em>Although the number itself becomes smaller, its value    </em>

<em>                             becomes bigger       </em>

Hope this helps.

7 0
3 years ago
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