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Nataly_w [17]
3 years ago
13

What is the cube root of 12

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Cube root of 12 is 2.28942848511

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The process standard deviation is 0.27, and the process control is set at plus or minus one standard deviation. Units with weigh
mr_godi [17]

Answer:

a) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

b) P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

c) For this case the advantage is that we have less items that will be classified as defective

Step-by-step explanation:

Assuming this complete question: "Motorola used the normal distribution to determine the probability of defects and the number  of defects expected in a production process. Assume a production process produces  items with a mean weight of 10 ounces. Calculate the probability of a defect and the expected  number of defects for a 1000-unit production run in the following situation.

Part a

The process standard deviation is .15, and the process control is set at plus or minus  one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces  will be classified as defects."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10,0.15)  

Where \mu=10 and \sigma=0.15

We can calculate the probability of being defective like this:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And if we replace we got:

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.15}) = P(Z>1)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.159+0.159 = 0.318

And the expected number of defective in a sample of 1000 units are:

X= 0.318*1000= 318

Part b

Through process design improvements, the process standard deviation can be reduced to .05. Assume the process control remains the same, with weights less than 9.85 or  greater than 10.15 ounces being classified as defects.

P(X

And for the other case:

tex] P(X>10.15)[/tex]

P(X>10.15)= P(Z > \frac{10.15-10}{0.05}) = P(Z>3)=1-P(Z

So then the probability of being defective P(D) is given by:

P(D) = 0.00135+0.00135 = 0.0027

And the expected number of defective in a sample of 1000 units are:

X= 0.0027*1000= 2.7

Part c What is the advantage of reducing process variation, thereby causing process control  limits to be at a greater number of standard deviations from the mean?

For this case the advantage is that we have less items that will be classified as defective

5 0
3 years ago
Round to the nearest ones place for the problem as follows......3.9
WINSTONCH [101]
I believe it would be 4.
5 0
3 years ago
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at a farm the ratio of cows to horses was 10:3 if there were 20 cows at the farm how many horses were there?
Katen [24]
Cows=10 units
horses=3 units
if 20 cows then
10 units=20 then
1 unit=2
so horses=3 units
1 unit=2
2 times 3=6
6 horses
3 0
3 years ago
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If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the num
ANEK [815]
<span>If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t </span>α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t =<span> kg
</span>
This equation will represent the relation of t to g.
8 0
3 years ago
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Find all of the polar coordinates of point P if P = (7,pi/3)
oee [108]

If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))

<u>Explanation</u>:

The given coordinates  ( 7 ,  π /3 )  look as if they are already in polar form (radius  =  7 , and angle  =  π/3).

but in case  ( 7 ,  π /3 )  really are Cartesian coordinates (i.e.  ( x , y ) = ( 7 ,  π/3 ) )

The radius is given by  √( x /2  +  y/ 2)  and  the angle by the  arctan  ( y ,x ).

4 0
3 years ago
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