What is the square root of -1?

Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

[tex]cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3} )=min(1.11,0.78)=0.78[/tex]

[tex]cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94[/tex]

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

[tex]cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2} )=min(1.5,1.33)=1.33[/tex]

[tex]cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42[/tex]

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

[tex]cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9} )=min(0.98,0.98)=0.98[/tex]

[tex]cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98[/tex]

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Answer:

The bottom left table

Step-by-step explanation:

the same x value cannot have different y values

Answer:

Step-by-step explanation:    AS YOU KHOW THW ABSOLUTE VALUE OF A QUESTION IS NUMBER ITSELF IF THERE IS MINUS SIGH THEN THE  SIGH OF A NUMBER WILL BECOME PLUS OR IF THERE IS A PLUS SIGH THEN THERE IT WILL REMAIN AS IT IS. IF THERE IS NO NUMBER WITH THE MINUS SIGH THEN THE MINUS SIGH WILL REAMIN AS IT IS.

+2 +9  -   +2

The answer has same sigh, then Plus answer will you get is

+11 - 2 then you will minus the answer will be

+9

HOPE IT HELP YOU

Answer:

Band: 30%

Chorus: 18%

Painting: 21%

Robotics: 14%

Coding: 17%

Answer:

36

Step-by-step explanation:

since there are six outcomes for the spinner and six outcomes for the cube,

6 x 6 = 36

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

First number = [tex]x[/tex]

Second number = [tex]x-11[/tex]

[tex]x+x-11+8=71[/tex]

[tex]2x-3=71[/tex]

[tex]2x=71+3[/tex]

[tex]2x=74[/tex]

[tex]x=37[/tex]

First number = [tex]x=37[/tex]

Second number =  [tex]x-11=37-11=26[/tex]

Answer:

-The value of [tex]y[/tex]:

[tex]y = 1[/tex]

Step-by-step explanation:

-Find the value of [tex]y[/tex]:

[tex]11- 9y = -6y + 8[/tex]

-Add both sides by [tex]6y[/tex] and combine [tex]9y[/tex] and [tex]6y[/tex] together:

[tex]11- 9y + 6y = -6y + 6y+ 8[/tex]

[tex]11 - 3y = 8[/tex]

-Subtract both sides by [tex]11[/tex]:

[tex]11 - 11 - 3y = 8 -11[/tex]

[tex]-3y = -3[/tex]

-Divide both sides by [tex]-3[/tex]:

[tex]\frac{-3y}{-3} = \frac{-3}{-3}[/tex]

[tex]y = 1[/tex]

So the final answer is [tex]y = 1[/tex] .

Answer:

80%

Step-by-step explanation:

rate=100×Interest/ principal × time

Interest= 40

principal= 600

time= 1 month=1/12

100%×$40×12/$600×1=80%

Answer:

the answer is E the number at the top tells you which position it falls under in the alphabet

Answer:

Oil

Step-by-step explanation:

Car engine needs oil to avoid friction.

Answer:

[tex]oil \\ [/tex]

Answer C is correct

Step-by-step explanation:

car engine needs oil to avoid the friction .

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

2(-2y+9)/3+y

Step-by-step explanation:

[tex]answer \\ \\ \frac{ \sqrt{5} }{2 \sqrt{a} } \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

1. Parameter because the value is a numerical measurement describing a characteristic of a population

Step-by-step explanation:

A parameter is a fixed measure which describes the whole population while a statistic is a characteristic of a sample (which is a portion of the target population).

In a study of all 1963 employees at a college, it is found that "40%" own a computer.

The study involved the entire population of employees in the college, therefore the result describes the computer owning characteristics of the whole population under study. It is therefore a parameter.

The correct option is 1.

Step-by-step explanation:

a. It would provide a quantitative data

b. Yes, it would make more sense to use percentages rather than averages as this is estimating a proportion.

c. 44% of the respondents strongly agree

d. the results do not indicate general support for or against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving as the only respondents will be those that agree with the researchers claim and the study will be biased against those who do not agree.

Answer:

y=-5/3x+8/3

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(-2,6) and (1,1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-2,6), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-2 and y1=6.

Also, let's call the second point you gave, (1,1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=1 and y2=1.

Now, just plug the numbers into the formula for m above, like this:

m=  

1 - 6

1 - -2

or...

m=  

-5

3

or...

m=-5/3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-5/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-2,6). When x of the line is -2, y of the line must be 6.

(1,1). When x of the line is 1, y of the line must be 1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5/3x+b. b is what we want, the -5/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-2,6) and (1,1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-2,6). y=mx+b or 6=-5/3 × -2+b, or solving for b: b=6-(-5/3)(-2). b=8/3.

(1,1). y=mx+b or 1=-5/3 × 1+b, or solving for b: b=1-(-5/3)(1). b=8/3.

Answer:

8n x n x n x n x n x n x n

Step-by-step explanation:

(2n^2)^3 = 8n^ 6

Now just write "n" 6 times and there you go

The given expression without exponents can be written as 8×n×n×n×n×n×n.

The given expression is (2n²)³.

We need to write the given expression without exponents.

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times.

Now, the given expression can be simplified as follows:

(2n²)³=2³×(n²)³

=2×2×2×[tex]n^{6}[/tex]  (∵[tex](a^{m}) ^{n}=a^{m\times n}[/tex])

=8×n×n×n×n×n×n

Therefore, the given expression without exponents can be written as 8×n×n×n×n×n×n.

To learn more about exponents visit:

https://brainly.com/question/219134.

#SPJ2

[tex]the \: answer \: is \: 10 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

Answer:

10 is the answer for this question.

Answer:

Answer:

The total is: $ 1345.5

Step-by-step explanation:

It is given that:

I would like to purchase 20 products at a cost 65.00 per product.

This means that the cost of 20 products will be:

Also, there is a sales tax of 3.5%

This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.

i.e. he need to pay 3/5% on $ 1300

This means that the amount of tax he need to pay is: 3.5% of 1300

                                                                             =  3.5%×1300

                                                                            = 0.035×1300

                                                                           = $ 45.5.

Hence, the total cost is: $ 1300+$ 45.5

This means that the total cost is: $ 134.5

Answer:

Step-by-step explanation:

Rational numbers are the result of dividing two integers. Intergers cannot be fractions. So 1.5 is rational but 3/2 is not.

Five rational numbers: 1.5, 6, 24.7, 384, 404.4, 1,980

I'm always happy to help :)

Answer:

There should be no pattern in the residual plot.

Step-by-step explanation

Remember a residual plot is calculating if a linear model is appropriate or not and since the engineer is trying to find a linear relationship with his air filters then he should be looking for no pattern.

Here, we are required to determine what should be apparent in the residual plot.

The residual plot will have a negative slope, i.e the residual plot descends from the top left to the bottom right.

According to the Engineer's believe, the thicker the air filter, the less pollution that gets through it.

By plotting each of the quantities on either of x and y axis on the residual plot, The residual plot therefore, has a negative slope.

Read more:

https://brainly.com/question/7412322

Answer:

y=-4x+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-1,5) and has a slope of -4.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -4. So you can right away fill in the equation for a line somewhat to read:

y=-4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-1,5). When x of the line is -1, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-1,5).

So, why not plug in for x the number -1 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-1,5). y=mx+b or 5=-4 × -1+b, or solving for b: b=5-(-4)(-1). b=1.

The equation of line passes through the point (-1, 5) will be;

⇒ y = - 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-1, 5).

And, The slope of line is,

⇒ m = - 4

Now,

Since, The equation of line passes through the point (- 1, 5).

And, Slope of the line is,

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 5 = - 4 (x - (-1))

⇒ y - 2 = - 4 (x + 1)

⇒ y - 2 = - 4x - 4

⇒ y = - 4x - 4 + 2

⇒ y = - 4x - 2

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:

The value of x from the equation is 100. Thus, Mrs. Gleason should work for 100 hours per month. 

Step-by-step explanation:

To answer this item, we let x be the number of hours per month that Mrs. Gleason should work. The total budget is equal to sum of the amount acquired by Mr. Gleason and Mrs. Gleason. The equation that would express this is,

                         4,500 = 900(4) + 9x

The value of x from the equation is 100. Thus, Mrs. Gleason should work for 100 hours per month. 

I am sorry if you get this wrong.

Answer:

Step-by-step explanation:

George Fox university = 10,000,000 + 10,000,000

                                    = full bag + full bag

                                    ( click 2 full bag}

Rockhurst university = 10,000,000 +10,000,000 +10,000,000 + 5,000,000

                                  = full bag + full bag + full bag + half bag

       (click 3 full bag and 1 half bag}

Lebanon Valley college = 10,000,000 +10,000,000 +10,000,000 +10,000,000+5,000,000

( click 4 full bag and 1 half bag)

Grand view college = 10,000,000

 (click 1 full bag}

Answer:

  (x, y) = (-3, -6)

Step-by-step explanation:

The (x, y) distance from R to T is ...

  (Δx, Δy) = T - R = (3, -3) -(-5, -7) = (3 -(-5), -3 -(-7)) = (8, 4)

Then 1/4 of the distance is ...

  (Δx, Δy)/4 = (8, 4)/4 = (2, 1)

This is added to the R coordinates to find the desired point:

  point = R +(2, 1) = (-5, -7) +(2, 1) = (-5+2, -7+1) = (-3, -6)

The coordinates are ...

  x-coordinate: -3

  y-coordinate: -6

the correct answer is 59.

Answer:

59

Step-by-step explanation:

Answer:

1.7%

Step-by-step explanation:

We have to calculate the probability that the salesperson will make four or more sales if six sales calls are made on a given day, that is:

P (x => 4)

Therefore, we must calculate when x = 4, when x = 5, and when x = 6 and add. p = 0.2, n = 6

P (x = r) = nCr * p ^ r * (1 - p) ^ (n-r)

Also, nCr = n! / (r! * (n-r) !, now replacing:

P (x = 4) = 6! / (4! * (6-4)! * 0.20 ^ 4 * 0.80 ^ (6-4)

P (x = 4) = 15 * 0.001024 = 0.01536

P (x = 5) = 6! / (5! * (6-5)! * 0.20 ^ 5 * 0.80 ^ (6-5)

P (x = 5) = 6 * 0.000256 = 0.001536

P (x = 6) = 6! / (6! * (6-6)! * 0.20 ^ 6 * 0.80 ^ (6-6)

P (x = 6) = 1 * 0.000064 = 0.000064

now,

P (x => 4)  = P (x = 4) + P (x = 5) + P (x = 6)

P (x => 4)  = 0.01536) + 0.001536 + 0.000064

P (x => 4) = 0.01696 = 0.017

It means that the probability is 1.7%

Answer:

a. [tex]x^2-6x-8=0[/tex]

b. [tex]x^2-6x=8[/tex]

c.

[tex]\frac{1}{2}[/tex] (Coefficient of x) = [tex]\frac{-6}{2}=-3[/tex]

Also, [tex](-3)^2=9[/tex]

d. [tex]x^2-6x+9=17[/tex]

e. [tex](x-3)^2=17[/tex]

f, g. [tex]x=3\pm \sqrt{17}[/tex]

Step-by-step explanation:

Given: [tex]2x^2-12x-16=0[/tex]

To solve: the given equation

Solution:

a.

[tex]2x^2-12x-16=0[/tex]

Coefficient of [tex]x^2=2[/tex]

Divide both sides by 2

[tex]x^2-6x-8=0[/tex]

b.

[tex]x^2-6x=8[/tex]

c.

Coefficient of x = -6

[tex]\frac{1}{2}[/tex] (Coefficient of x) = [tex]\frac{-6}{2}=-3[/tex]

Also, [tex](-3)^2=9[/tex]

d.

Add 9 to both sides of the equation: [tex]x^2-6x=8[/tex]

[tex]x^2-6x+9=8+9\\x^2-6x+9=17[/tex]

e.

[tex]x^2-6x+9=17\\x^2-2(3)x+3^2=17\\(x-3)^2=17\,\,\left \{ \because (a-b)^2=a^2+b^2-2ab \right \}[/tex]

f.

[tex](x-3)^2=17\\x-3=\pm \sqrt{17}\\x=3\pm \sqrt{17}[/tex]

g.

[tex]x=3\pm \sqrt{17}[/tex]

Answer:

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.9153

The margin of error is:

M = T*s = 1.9153*4 = 7.66.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 7.66 = 7.34 minutes

The upper end of the interval is the sample mean added to M. So it is 15 + 7.66 = 22.66 minutes.

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.