In a process control study, the overall process average over 15 samples is 63.45 with an average corresponding range of 5.6. What is the lower control limit of the R-chart

Answer:

S = 23.6

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

sin S = opp / hyp

sin S = 4/10

sin S = 2/5

Taking the inverse sin of each side

sin^-1 ( sin S) = sin ^-1 (2/5)

S=23.57817

Rounding to the nearest tenth

S = 23.6

Answer:

it will be 25 percent

Step-by-step explanation:

divide 2 by 8

Answer: 25 %

Step-by-step explanation:

2/8

on simplifing  we got 1/4 in fraction  that is equal to  0.25  that is equal tp 25 % in percentage form.

Hope this will help you

Answer:

which grade do you want to get helped by ?

9514 1404 393

Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

Answer:

.8

Step-by-step explanation:

The ratios have to be the same for the cones to be similar

10       4

----- = ------

2         x

Using cross products

10x = 4*2

10x = 8

Divide by 10

x = 8/10

x = .8

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.

Answer:

|-8|

= |-8| = 8

|-8|. |-a = a , a> o

= 8

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

9514 1404 393

Answer:

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

Answer:

Ask in English then I can help

Answer:

fog(x) is D = 6[tex]\sqrt{x}[/tex]

Step-by-step explanation:

I. square all value, so f(x) is 2x then g(x) is 18x

II. Replace x.value in f(x) with g(x).value = 2(18x)

III. If x is 1, 2(18*1) will be 36; find root, so answer is 6

If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]

Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)

Answer:

  s/(100r)

Step-by-step explanation:

The % symbol is a shorthand way of writing /100, so ...

  s% of 1/r = (s/100) × (1/r) = s/(100r)

Answer:

Solution given:

S% of 1/r=S/100*1/r=S/(100r) is a required answer.

Step-by-step explanation:

% means divide by 100.

Answer:

A

Step-by-step explanation:

JUst answered same question

Answer:

Reject H0 and conclude that population means are different.

Step-by-step explanation:

H0: μ1 = μ2

H1: μ1 ≠ μ2

x1 = 11 ; σ1 = 4 ; n1 = 49

x2 = 14 ; σ2 = 5 ; n2 = 64

The test statistic :

(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]

Test statistic :

(11 - 14) / sqrt[(4²/49 + 5²/64)]

Test statistic :

-3 / √0.7171556

Test statistic = - 3.542

Using α = 0.01

The critical value Zα/2 ; Z0.01/2 = 2.58

Decison region :

Reject H0 : if Test statistic < Zcritical

Reject H0 : - 3.542 < - 2.58

Answer:

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One of the six sides is 2:

This means that [tex]p = \frac{1}{6}[/tex]

If the spinner is spun two times, what is the probability it will land on both 2 sides?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Answer:

c. 54[tex]\pi[/tex] in.³

The volume of cylinder is 54[tex]\pi[/tex] in.³

Step-by-step explanation:

Given that :-

To Find :-

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

Volume of cylinder = π × ( 3)² × 6.

Volume of cylinder = π × 9 × 6.

Volume of cylinder = 54[tex]\pi[/tex] in.³

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

Answer: x³+y³=180

Step-by-step explain:                                                                                            let's remember the formula                                                                                 x³+y³=(x+y)(x²-xy+y²) and also  x³+y³=(x+y)³-3xy(x+y)                                              then                                                                                      [tex]\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180[/tex]                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer:

C. Method 1 is an observational study because no attempt is made to influence results.

Step-by-step explanation:

Based on the descriptions provided: Method 1 is an observational study because no attempt is made to influence the results. Option 3 is the correct answer.

An observational study is a type of study where researchers observe and collect data without actively intervening or manipulating any variables.

Method 1 involves surveying shoppers and asking them about their detergent use and laundry cleanliness ratings. The researcher is merely collecting data without intervening or manipulating any variables. The study relies on the natural behavior of shoppers and their responses.

Method 2, on the other hand, involves actively creating soiled fabrics and washing them with different detergents. This intervention introduces an element of manipulation, making it more of an experimental study than an observational one.

To know more about observational study :

https://brainly.com/question/29141360

#SPJ3

Answer:

(a) [tex]P(Online\ Training) = 0.750[/tex]

(b) [tex]Pr = 0.169[/tex] --- Quality Division and Online Training

(c) [tex]P(A\ |\ B) = 0.686[/tex] --- Online Training given Sales Division

Step-by-step explanation:

Given

The two-way table

Solving (a): P(Online Training)

The total employee is:

[tex]Total = 136[/tex]

The employees for online training is:

[tex]Online\ Training = 102[/tex]

So, the probability is:

[tex]P(Online\ Training) = \frac{102}{136}[/tex]

[tex]P(Online\ Training) = 0.750[/tex]

Solving (b): P(Quality Division and Online Training)

The number of employees that choose quality Division and online training is 23

So, the probability is:

[tex]Pr = \frac{23}{136}[/tex]

[tex]Pr = 0.169[/tex]

Solving (c): P(Online Training | Sales Division)

This is calculated as:

Let:

[tex]A \to[/tex] Online training

[tex]B \to[/tex] Sales division

So, we have:

[tex]P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}[/tex]

From the table:

[tex]n(A\ n\ B) =35[/tex]

[tex]n(B) = 16 + 35 = 51[/tex]

So, the probability is:

[tex]P(A\ |\ B) = \frac{35}{51}[/tex]

[tex]P(A\ |\ B) = 0.686[/tex]

Answer:

[tex]25\text{ feet}[/tex]

Step-by-step explanation:

The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.

For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex]), where [tex]c[/tex] is the hypotenuse.

Let the length of the ladder be [tex]\ell[/tex] (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as [tex]\ell -1[/tex].

From the Pythagorean Theorem, we then have:

[tex]7^2+(\ell-1)^2=\ell^2[/tex]

Expand using [tex](a-b)^2=a^2-2ab+b^2[/tex]:

[tex]49+\ell^2-2\ell+1=\ell^2[/tex]

Subtract [tex]\ell[/tex] from both sides and add [tex]2\ell[/tex] to both sides:

[tex]49+1=2\ell[/tex]

Combine like terms:

[tex]50=2\ell, \\2\ell =50[/tex]

Divide both sides by 2:

[tex]\ell=\frac{50}{2}=\boxed{25\text{ feet}}[/tex]

Therefore, the length of the ladder is 25 feet.

Answer:

i think its b

Step-by-step explanation: