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MA_775_DIABLO [31]
3 years ago
9

Specifications for a part for a DVD player state that the part should weigh between 24 and 25 ounces. The process that produces

the parts has a mean of 24.5 ounces and a standard deviation of .2 ounce. The distribution of output is normal. a. What percentage of parts will not meet the weight specs
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

The answer is "2.5".

Step-by-step explanation:

\to \frac{(25-24.5)}{0.2}=  \frac{(0.5)}{0.2}=2.5

The pieces which does not achieve that specific weight either are below and above the average standard deviation of 2.5. The percentage of components not fulfilling their weight data is 1.1% using a Table of Z-scores.

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You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
How many days are there in 6 weeks? Solve the related word problem to represent the inverse operation There are days in 6 weeks
expeople1 [14]

Answer:

there a 42 days in 6 weeks

Step-by-step explanation:

multiply 6 x 7= 42

3 0
3 years ago
This is a bonus question
Elena L [17]

Answer:

10,500

Step-by-step explanation:

See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)

Area of Rectangle = lwh

For the water;

50 x 30 x 28= 42000

As for the needed volume:

50 x 30 x 35 = 52500

To find how much more water, subtract the smaller volume from bigger volume.

10500 should be the final answer

3 0
2 years ago
Read 2 more answers
What is the name of the first chief minister of West Bengal​
masya89 [10]

Answer:

Prafulla Chandra Ghosh

Step-by-step explanation:

(24 December 1891–18 December 1983) was the first Chief Minister of West Bengal, India.

6 0
3 years ago
Read 2 more answers
The value of x when 2x+12/7=3x+5/4
Murrr4er [49]

Answer:

x =  \frac{13}{28}

For further explanation see the picture attached...

3 0
3 years ago
Read 2 more answers
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