A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particular sample, the statistician must check the configuration of the machine. The distribution of metal thickness has mean 23.5 millimeters (mm) and standard deviation 1.4 mm. Based on the two-standard deviations rule for outliers, which is the greatest thickness that would require the statistician to check the configuration of the machine?

Answers

Answer 1

Answer: 26.3 mm

Step-by-step explanation:

According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.

If Mean = 23.5 millimeters (mm) and standard deviation =  1.4 mm

Then, greatest thickness need to check = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.


Related Questions

I need help please I’m struggling in this Question can you please help me .

Answers

Answer:

i forget how to get it :)

Step-by-step explanation:

Answer: B

Step-by-step explanation: logical answer but if its nit right my bad

20 POINTS!! what is the slope of this line​

Answers

Answer:    I really don't know?????

Step-by-step explanation:

I really need help. So one please help me it will be greatly appreciated.

Answers

Answer:

C

Step-by-step explanation:

Solve for b.

2(b + 7) = 20

b = ??

Answers

Answer:

6.5

Step-by-step explanation:

Answer:

7/9.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 20b from both sides.

Step 3: Subtract 14 from both sides.

Step 4: Divide both sides by -18.

Which statement describes a series of transformationsthat would show that figureA is congruent to figure B

Answers

Answer:d

Step-by-step explanation: d

A department store will place a sale item in a special display for a one-day sale. Previous experience suggests that 43 percent of all customers who pass such a special display will purchase the item. If 1,462 customers will pass the display on the day of the sale, and if a one-item-per-customer limit is placed on the sale item, how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale? Assume here that customers make independent purchase decisions. (Round your answer to nearest whole number.)

Number of units?

Answers

Answer:

672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

Step-by-step explanation:

No. of customers pass the display on the day of sale = 1462

Proportion of people will purchase if pass such a special display = 0.43

Mean = E(X)=np

E(X)=[tex]1462 \times 0.43[/tex]

E(X)=628.66

Standard deviation = [tex]\sqrt{npq}[/tex]

Standard deviation =[tex]\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92[/tex]

Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

P(X<x)=0.01

Using z table

[tex]P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436[/tex]

Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

The number of units should be 672.7436 units.

Calculation of number of units:

Since No. of customers pass the display on the day of sale is 1462 and the proportion of people who will purchase if pass such a special display is 0.43

So,

Mean should be = 43% of 1,462

= 628.66

Now the standard deviation should be

[tex]= \sqrt{1462 \times 0.43 \times (1-0.43)}[/tex]

= 18.92

Now the number of units should be

[tex]x - 628.66 \div 18.92 = 2.33[/tex]

x = 672.7436

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A company rents paddleboards by charging a rental fee of $15 plus an hourly rate of $12. Write an expression that represents the cost in dollars of renting a paddleboard for ,h, hours.

Answers

12h +15
I need 20 characters

Answer:

x= 12h +15

Step-by-step explanation:

5 x 9 = 45 times as many is

Answers

5 more than 9 is 45 B. 9 is 5 times as many as 45 C.

A rectangular table top has an area of 8ft and a perimeter of 12ft.What are the dimensions of the table?

Answers

Answer:

Dimensions are 2 and 4

Step-by-step explanation:

Area= a*b=8

Perimeter=2(a+b)=12 => a+b = 12/2. a+b = 6

a+b=6 =>a=6-b

If a=2=>b=4 so 4+2=6 , 4*2=8 and 4*2+2*2=12

If a=4=>b=2 so 4+2=6 , 4*2=8 and 4*2+2*2=12

Dimensions are 2 and 4

The possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a rectangular table top has an area of 8 ft and a perimeter of 12 ft.

Let the dimensions of the rectangular table be {x} ft and {y} ft respectively.

We can write -

xy = 8                               ....... Eq(1)

2(x + y) = 12

x + y = 6                                 ....... Eq(2)

y = (6 - x)

Then, we can write -

x(6 - x) = 8

- x² + 6x = 8

x² - 6x + 8 = 0

(x - 2)(x - 4) = 0

We get -

x = 2 and x = 4

Now,

For x = 2, y = 4.

For x = 4, y = 2.

Therefore, the possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

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At an argheological site, the remains of two ancient step pyramids are congruent. If ABCD=EFGH, find m/_EHG.

Answers

Answer:

m∠EHG = 68

Step-by-step explanation:

If the two ancient step pyramids are congruent,

ABCD ≅ EFGH

All the angles and sides of the two pyramids will be congruent.

By the property of congruence,

Base angles of both the pyramids will be congruent.

m∠ADC = m∠EHG = 68°

Therefore, m∠EHG = 68 will be the answer.

Write a verbal expression for 73

Answers

Answer:

seventy-three

Step-by-step explanation:

The answer is Seventy-three

Identify the fraction that is equivalent to 3/8
A:15/32
B:12/32
C:12/24
D:9/32

Answers

The answer is B hope this helps
Answer: The answer is B



Explain: It is B because if you multiple to numerator by numerator 3 times 4 is 12 right and 12 is the numerator then the denominator 8 times 4 also is 32 and that’s the denominator so the answer is B 12/32

The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce

Answers

Answer:

They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.

Step-by-step explanation:

12-ounce

regular = 65%

mild = 35%

extra sharp zesty blend = 75%

extra sharp mild = 25%

8,100 mild for = $1.30

3,500 extra sharp = $1.50

cost blend and package = $0.30

regular sold = $1.8

zesty = $2.10

first we calculate the cost of each product

conversion Of  ounces to pounds:

1 pound = 16 ounces

regular cost:

12/16 pounds x 65% mild x $1.30

= 0.63375

12/16 pounds x 35% sharp x $1.50

= 0.39375‬

+ blend and package $0.30

total = $1.3275‬

contribution: $1.8 – $1.3275

= $0,4725‬

zesty cost:

12/16 pounds x 75% mild x $1.30

= 0.73125‬

12/16 pounds x 25% sharp x $1.50

= 0.28125‬

+ blend and package 0.30

total $1,3125‬

contribution: $2.10 – $1.3125

= $0,7875‬

to maximize profit:

profit = $0.4725Regular + $0.7875zetzy

adding the  constraint:

mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100

and

sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100

contribution generated by each product/pound:

                                 Regular        Zesty

CM                          $ 0.47250 $ 0.47250

Constrain resource

( pounds of mild)         0.48750 0.56250

CM per constrain        $ 0.9692 $ 1.4000

Constrain resource

( pounds of sharp)         0.26250 0.18750

CM per constrain           $ 1.80      $ 4.20

As zesty is better we produce as much as we can:

8,100 pounts / 0.5625 per cheese spreads: 14,400

check for possibilities of other constraint:

14,400 zesty packages x 0.1875 pounds each = 2,700 pounds

because it’s possible we only produce zetsy

profit = $0.4725 (0) + $0.7875 (14,400)

profit =  $ 11,340

NEED HELP ASAP!!!!!!!!!!!!!!!

Answers

Answer: c is the answer

A store is having a sale on almonds and jelly beans. For 2 kilograms of almonds and 3 kilograms of jelly beans, the total cost is $11. For 6 kllograms of almonds and 5 kilograms of jelly beans, the total cost is $23. Find the cost for each kilogram of almonds and each kilogram of jelly beans.
Find cost for each kilogram of almonds :?
Ans find the cost for each kilogram of jelly beans :?

Answers

Answer:

The cost of each kg of almonds is $1.75

The cost of each kg of jelly beans is $2.5

Step-by-step explanation:

We will use the system of linear equations to solve the question

Assume that the cost of 1 kg of almonds is $x, and the cost of 1 kg of jelly beans is $y

∵ For 2 kilograms of almonds and 3 kilograms of jelly beans,

   the total cost is $11

→ Multiply 2 by x and 3 by y, then equate their sum by 11

2x + 3y = 11 ⇒ (1)

∵ For 6 kilograms of almonds and 5 kilograms of jelly beans, the

   total cost is $23

→ Multiply 6 by x and 5 by y, then equate their sum by 23

6x + 5y = 23 ⇒ (2)

Now we need to solve this system of equations to find the values of x and y

→ Multiply equation (1) by -3 to make the coefficient of x in it equals

  the coefficient of x in equation (2) in values and differences in signs

∵ -3(2x) + -3(3y) = -3(11)

-6x + -9y = -33 ⇒ (3)

→ Add equations (2) and (3) to eliminate x

∵ (6x + - 6x) + (5y - 9y) = (23 + -33)

∴ -4y = -10

→ Divide both side by -4 to find the value of y

∵  [tex]\frac{-4y}{-4}=\frac{-10}{-4}[/tex]

y = 2.5

→ Substitute the value of y in equation (1) to find x

∵ 2x + 3(2.5) = 11

∴ 2x + 7.5 = 11

→ Subtract 7.5 from both sides

∵ 2x + 7.5 - 7.5 = 11 - 7.5

∴ 2x = 3.5

→ Divide both sides by 2 to find the value of x

∵ [tex]\frac{2x}{2}=\frac{3.5}{2}[/tex]

x = 1.75

∵ x represents the cost of 1 kg of almonds

The cost of each kg of almonds is $1.75

∵ y represents the cost of 1 kg of jelly beans

The cost of each kg of jelly beans is $2.5

Lorena's baby brother is exactly 23 weeks old. How many hours old is Lorena's baby brother?

Answers

Answer:

3864

7*24=168

168*23=3864

Step-by-step explanation:

Based on the number of weeks that Lorena's baby brother has aged, in hours, the baby is 3,864 hours.

Lorena's baby brother is 23 weeks old.

First find out the number of hours in a week:

= Number of hours in day x number of days in week

= 24 x 7

= 168 hours

In 23 weeks, the baby brother would be:

= 168 x 23 weeks

= 3,864 hours

In conclusion, her brother is 3,864 hours old.

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Solve for x: 3x − 24 = 81

fifty-seven over three
one hundred five over three
57
105

Answers

Answer: one hundred and five over three

Step-by-step explanation:

Answer: 57 i did the test

Step-by-step explanation:

Pete has 5 marbles . Jay has a number of marbles that is two more than 5 . How many marbles does jay have?

Answers

Answer:

The answer is 7

Step-by-step explanation:

Answer:

7 marbles

Step-by-step explanation:

You would put five first because that's how much marbles pete had and for jay you just add a 2.

5+2=7

Hope this helps:)

The triangles shown below must be congruent.
60°
60"
12
12
101
619
O A. True
O B. False

Answers

Answer:

true

Step-by-step explanation:

1. whats the midpoint between (7,3) and (-3,-1)

Answers

Answer:

(2, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then

midpoint = ( [tex]\frac{7-3}{2}[/tex], [tex]\frac{3-1}{2}[/tex] ) = ( [tex]\frac{4}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (2, 1 )

explain the amplitude .....?? please as fast as u can ​

Answers

Answer:

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

Step-by-step explanation:

Dwellings Elevation (m)

Robin's nest 2.6

Groundhog burrow -14

(a) Plot and label the elevation of each dwelling on a vertical number line.

(b) Calculate the vertical distance between Robin’s net and the Groundhog Burrow by subtracting

Answers

Step-by-step explanation:

The nest is at 2.6 m, and the dwelling is at -14 m.  So the vertical distance is:

2.6 m − (-14 m) = 16.6 m

Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.​

Answers

Answer:

C is the correct answer

Answers:


A. x=8
B. x= square root of 20
C. x=4
D. x= square root of 34​

Answers

Answer:

C - x=4

Step-by-step explanation:

The formula is a^2+b^2=c^2

(02.02)
Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the
measure of angle A'? (4 points)
95 degrees
50 degrees
O 45 degrees
180 degrees
PLS HELP

Answers

Answer is going to be 180 degrees

The cost of a lamp was reduced from $40 to $22.

By what percent did the cost of the lamp decrease?


A 4.5%

B 25%

C 35%

D 45%

Answers

Answer:

45 %

Step-by-step explanation:

decreasing by half would be 50 percent making it only 20 dollars. In this situation it is 2 dollars more. 45 percent of 40 is 18. subtract: 40-18=22

The decreased percent of the cost of the lamp is 45%.

What is a percentage?

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

The cost of a lamp was reduced from $40 to $22.

Initial price = $40

Final price= $22

Decreased percentage =[tex]\frac{initial price-final price}{initial price} *100[/tex]

                                       =[tex]\frac{40-22}{40} *100[/tex]

                                       = 45%

Hence, the decreased percent of the cost of the lamp is 45%.

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m m m What is the measure of Z CZD?
PLEASE HELP!

Answers

9514 1404 393

Answer:

  34°

Step-by-step explanation:

∠FZE and ∠BZC are vertical angles, so are congruent. The angle sum theorem tells us ...

  ∠BZC +∠CZD = ∠BZD

  (2x+5) +x = 107

  3x = 102

  x = 34

The measure of ∠CZD is 34°.

`jae is costructing an open box froma piece of cardboard that is 9in. wide and 12in. long.

Answers

Answer:4

Step-by-step explanation:

What is the equation of the line that passes through the point (6,-2) and has a slope of -3/2

Answers

Let's use the point-slope formula to write the equation of this line.

The point-slope formula is y - y₁ = m(x - x₁).

In the formula, x₁ and y₁ are points and the m is our slope

Now let's substitute.

y + 2 = -3/2(x - 6).

Notice that I put y + 2 above since y - (-2) means y + 2.

Now distribute the -3/2 through the parentheses.

This gives us -3/2x + 9.

Bring down your y + 2 and we have y + 2 = -3/2x + 9.

To put this in standard form, we need to multiply both

sides by 2 because we can't have any fractions.

This gives us 2y + 4 = -3x + 18.

Now move the +4 to the right by subtracting

4 from each side to get 2y = -3x + 14.

Now move your x term to the right by adding 3x to both sides.

So our final answer reads 3x + 2y = 14.

An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each student get? Write the answer as a mixed number.

Answers

70 1/2 divided by 25

Answer:

Step-by-step explanation:

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