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2 years ago

10

Tell whether each probability of the event happening is likely or unlikely to happen. Write L if it is likely to happen and U if

unlikely to happen on the space before each number.
__ 1. 2:3

__ 2. 4:15

__ 3. 3/10

__ 4. 13/21

__ 5. 6/16

__ 6. 8:11

__ 7. 9:20

__ 8. 11:25

__ 9. 5/16

__ 10. 7/12

__ 11. 6:13

__ 12. 4:9

__ 13. 2:5

__ 14. 19/45

__ 15. 12/25

Please make it quick

1 answer:

Andrej [43]2 years ago

4 0

Answer:

1.likely. 11.likely

2. likely. 12.likely

3. likely. 13.likely

4. unlikely 14. unlikely

5. likely. 15. likely

6. likely

7. likely

8. likely

9. likely

10. likely

Step-by-step explanation:

im correct if I'm rwong

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g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa

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Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is $\sigma = 0.0133$

Step-by-step explanation:

From the question we are told that

The upper specification is $USL = 1.68 \ mm$

The lower specification is $LSL = 1.52 \ mm$

The sample mean is $\mu = 1.6 \ mm$

The standard deviation is $\sigma = 0.03 \ mm$

Generally the capability index in mathematically represented as

$Cpk = min[ \frac{USL - \mu }{ 3 * \sigma } , \frac{\mu - LSL }{ 3 * \sigma } ]$

Now what min means is that the value of CPk is the minimum between the value is the bracket

substituting value given in the question

$Cpk = min[ \frac{1.68 - 1.6 }{ 3 * 0.03 } , \frac{1.60 - 1.52 }{ 3 * 0.03} ]$

=> $Cpk = min[ 0.88 , 0.88 ]$

So

$Cpk = 0.88$

Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2

Now let assuming that

$\frac{\mu - LSL }{ 3 * \sigma } = 2$

So

$\frac{ 1.60 - 1.52 }{ 3 * \sigma } = 2$

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

So

$\frac{ 1.68 - 1.60 }{ 3 * 0.0133 }$

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

So

$Cpk = 2$

So $\sigma = 0.0133$ is the value of standard deviation required

3 0

2 years ago

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7

WARRIOR [948]

Answer: The equation of the parabola is $(x+5)^2=-24(y-1)$ .

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

$(x-h)^2=4p(y-k)$

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

$(h,k+p)=(-5,-5)$

On comparing,

$h=-5$

$k+p=-5$ .... (1)

The directrix is y=7.

$k+p=7$ .... (2)

Add equation (1) and (2),

$2k=2$

$k=1$

Put this value in (1).

$p=-6$

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

$(x+5)^2=4(-6)(y-1)$

$(x+5)^2=-24(y-1)$

Therefore, the equation of parabola is $(x+5)^2=-24(y-1)$ .

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Multiply 1 1/3 * 1 3/4

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Answer:77/12

Step-by-step explanation:

Calculate the product

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meriva

Answer:

SUBTRACT

Step-by-step explanation:

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2 years ago

A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know t

Marina86 [1]

Answer: -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

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

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

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2 years ago