A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to be destroyed. He finds the number of flaws in each square yard and is interested in the average number of flaws per 10 square yards of material. If we assume the standard deviation of the number of flaws per square yard is 0.6, the sample mean, , for the 10 square yards will a standard deviation of

Answers

Answer 1

Answer:

10 square meters will have a standard deviation of 1.897.

Step-by-step explanation:

Standard deviation for n instances of a variable:

If the standard deviation for one instance of a variable is [tex]\sigma[/tex], for n instances of the variable, the standard deviation will be of [tex]s = \sigma\sqrt{n}[/tex]

The standard deviation of the number of flaws per square yard is 0.6

This means that [tex]\sigma = 0.6[/tex]

For the 10 square yards will a standard deviation of

[tex]n = 10[/tex], so:

[tex]s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897[/tex]

10 square meters will have a standard deviation of 1.897.


Related Questions

What is the smallest prime number that is also a factor of 27 and a multiple of 3?Please explain why this or that is the answer.

Answers

Answer:

To be fair I believe it's 3 because 27/3=9 and 3x1=3

Identify the equation of the circle that has its center at (7, -24)
and passes through the origin.

Answers

Answer:

(x-7)²+(y+24)² = 625

Step-by-step explanation:

A circle with center (h, k) and radius r can be represented as

(x-h)²+(y-k)² = r²

We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.

The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.

Our distance between (7, -24) and the origin is

√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)

= √625

= 25

Therefore, the radius is 25 and our equation is

(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625

A man makes a profit of 15%6y selling an article for Rs 2500. For what price should he sellituto make a profit of 38%​

Answers

Find the price before the 15% profit:

2500 / 1.15 = 2173.91

Now multiply the original cost by 1 + 38%:

2173.91 x 1.38 = 2999.99

Answer: 2.999.99 ( may need to round to 3,000)

Can someone help me on this math question its confusing ill give brainly when right!!!

Answers

Answer:

x=5

Step-by-step explanation:

x=[tex]\sqrt{25}[/tex]

x=5

Which of the following is equivalent to 0.00451?
A. 4.51x10^-3
B. 45.1x10^-3
C. 0.451x10^-3
D. 4.51x10^-2

Answers

Step-by-step explanation:

0.00451

[tex] = \frac{451}{100000} [/tex]

[tex] = \frac{4.51}{1000} [/tex]

[tex] = \frac{4.51}{ {10}^{3} } [/tex]

[tex] = 4.51 \times {10}^{ - 3} (option \: a)(ans)[/tex]

The required scientific notation  is A. 4.51x10⁻³  is equivalent to 0.00451. It's in scientific notation where 4.51 is between 1 and 10, and -3 is the exponent representing the decimal shift.

In scientific notation, a number is written in the form of "a × 10ⁿ" where "a" is a number between 1 and 10 (including 1 but excluding 10), and "n" is an integer exponent.

The goal is to represent the number in a more compact form using powers of 10.

0.00451

To express this in scientific notation, we need to find "a" and "n" such that "a × 10ⁿ" equals 0.00451.

The option A, 4.51 × 10⁻³ is the correct choice because:

"a" is 4.51, which is between 1 and 10.

"n" is -3, as we are shifting the decimal point three places to the left to convert 0.00451 to 4.51 × 10⁻³.

Therefore, 0.00451 is equivalent to  scientific notation option A. 4.51 × 10⁻³, which is option A.

learn more about  scientific notation here

brainly.com/question/19625319

#SPJ3

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

Answers

Step-by-step explanation:

jsndmdmsmsnananansndbdbnd

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

It should be c 4,-5

hope it helps

Answer:

c. (4,-5)

Step-by-step explanation:

Point K is currently at (4,5). If reflected about x, the x-coordinate remains 4 and the y-coordinate becomes -5. Giving the answer (4,-5)

what is the answer to -22/9r = 11/9

Answers

Answer:

2

Step-by-step explanation:

for this question you've to cross multiply

-22/9r=11/9

99r=-198

then you divide both sides by 99 inorder to remain with r on one side

99r/99=198/99

r=2

I hope this helps

help me with the question of O.math​

Answers

Answer:

24

Step-by-step explanation:

2*1+1+2*2+1+2*3+1+2*4+1=24

10 fewer than the difference of 8 and w! Please helpppppppp!!!!!!!! get 5 stars and brainly and heart!!!!!!!

Answers

Answer:

(8-w) -10

Step-by-step explanation:

fewer than comes after

difference of 8 and 2

(8-w)

10 fewer than

(8-w) -10

Answer:

(8 - w) - 10

Step-by-step explanation:

10 fewer than the difference of 8 and w.

-10

fewer means that we are taking away something, so it is minus.

8 and w (difference)

and is a word that adds something, but we have to pay attention to the difference. that means -.

8 - w

Put parenthesis around it so we know it is 8 and w that seperates from the (10 fewer).

(8 - w)

add - 10 at the end

(8 - w) - 10

not sure how to solve this

Answers

Answer:

x=11

Step-by-step explanation:

(x+7)×7=6×(6+15)

or, 7x+49=6×21

or, 7x=126-49

or, 7x=77

or, x=11

Given the preimage and image, find the dilation scale factor

Answers

Answer:

it should be 2 as your answer

The library has 2,730 books. If each shelf can hold 30 books, how many shelves will the library need to hold all of its books?

Answers

91 shelves are needed in the library

Answer:

2730÷30=91

Step-by-step explanation:

take the number of books and divide it by the number of books each shelve can hold and ull get ur answer

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer

Answers

nobody is helping me out rip


The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?

Answers

Answer:

Whattt pls draw the graph.. And it will show the us the rate

Solve for x if 25'+ 3(5') = 4​

Answers

Answer:

x=0

Step-by-step explanation:

Let 5x = y.

(52)x+3(5x)−4=0

y2+3y−4=0

y2−y+4y−4=0

y(y−1)+4(y−1)=0

(y+4)(y−1)=0

y=−4;y=1

y = -4 is not possible.

y = 1 ⟹ x = 0.

Answer:

0

Step-by-step explanation:

Explanation:

Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.

Answers

Answer:

Could you Write the question more clearly?

Step-by-step explanation:

X
45°
454
Find the value of x.
A.
B.
3.2
2
C. 3√2
D. 33
Save and Fyit

Answers

The answer to this question is C

Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age ​

Answers

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

Find 'x' in the following ​

Answers

First we have to find angle D

As it is a quadrilateral

[tex]\\ \sf\longmapsto <A+<B+<C+<D=360[/tex]

[tex]\\ \sf\longmapsto 45+50+35+<D=360[/tex]

[tex]\\ \sf\longmapsto 130+<D=360[/tex]

[tex]\\ \sf\longmapsto <D=360-130[/tex]

[tex]\\ \sf\longmapsto <D=230°[/tex]

Now

[tex]\\ \sf\longmapsto <D+x=360[/tex]

[tex]\\ \sf\longmapsto x+230=360[/tex]

[tex]\\ \sf\longmapsto x=360-230[/tex]

[tex]\\ \sf\longmapsto x=130°[/tex]

Answer:

x = 130

Step-by-step explanation:

Sum of all the angle of quadrilateral = 360°

50 + 45 + 35 + ∠ADC = 360

                130 + ∠ADC = 360

                         ∠ADC = 360 - 130

                         ∠ADC = 230

x = Reflex ∠ADC

  = 360 - 230

  = 130

(10x²+19x+6) ÷(5x+2)​

Answers

Answer:

2x + 3

Step-by-step explanation:

(10x² + 19x + 6) ÷ (5x + 2)​ =

= (10x² + 15x + 4x + 6) ÷ (5x + 2)​

= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)​

= [(5x + 2)(2x + 3)] ÷ (5x + 2)​

= 2x + 3

Answer:

2x+3 is your answer

What is the value of the expression below when z=6
z²+3z-3

Answers

Answer:

51 I hope it will help you

Step-by-step explanation:

mark me as a brainlist answer

Answer:

51

Step-by-step explanation:

Plug in z

(6)^2 + 3(6) - 3

36+18-3

54-3= 51

SEE QUESTION IN IMAGE

Answers

Answer:

Step-by-step explanation:

15) should be b) 6.7, 6 as the median is the average of the 25th and 26th result, these both occur in the 6 group and is the only option with a whole number for median

To check the mean

(2(4) + 7(5) + 17(6) + 10(7) + 8(8) + 6(9)) / 50 = 6.66 ≈ 6.7

16) mode is 1 child as the single largest grouping is 11 families

there were 46 families polled so the median occurs between 23 and 24

7 + 11 + 6 is 24 therefore median falls under 2 children.

a) 1, 2

Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?

Answers

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

A square has a perimeter of of 28 m. What is the length of each side

Answers

Answer:

a square has 4 sides therefore the formula for perimeter of a square would be 4a where a is the number of sides. in this case, we want to know the length of each side so we divide total length (28) by number of sides which is 4 and we get 7m

Answer:

the side lengths of a square are equal. Second, know that the sum of all 4 side lengths gives us the perimeter.

Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.​

Answers

Answer:

-11, 3

Step-by-step explanation:

We know one of the roots are

[tex](x+ 4) {}^{2} = 49[/tex]

[tex]x + 4 = - 7[/tex]

[tex]x + 4 = 7[/tex]

[tex]x = - 11[/tex]

or

[tex]x = 3[/tex]

write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4

Answers

The function g is:

[tex]g(x) = |4x| + 4[/tex]

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

Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).

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

In this question, the function is:

[tex]f(x) = |2x| + 4[/tex]

Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:

[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]

Thus, the function g is:

[tex]g(x) = |4x| + 4[/tex]

A similar question is given at https://brainly.com/question/20379647

Attached Math question document. Find the value to complete this calculation.

Answers

To find the missing value divide both sides by -7:

28/-7 = 4

The missing value is 4

Answer= -4

Step-by-step explanation:

negative × negative = positve. therefore if 7×4=28 , then -7×-4=28

Guided Practice


Find the first, fourth, and eighth terms in the sequence.

an=−5 · 3n−1a subscript n baseline equals negative 5 times 3 superscript n minus 1 baseline


A.
–15; –405; –32,805


B.
5; 135; 10,935


C.
–5; –135; –10,935

Answers

Answer:

C.

–5; –135; –10,935

Step-by-step explanation:

Answer:

C. -5; -135, -10,935

Step-by-step explanation:

...............................................................................................................................................

please help!! this is geometry

Answers

Step-by-step explanation:

1 and 3 are complimentary angles, meaning 1+3 = 180 degrees.

in the same way 1 and 2 are complimentary angles, 1+2 = 180, => 2 ≈ 3

and for 2 and 4 the same => 1 ≈ 4

3 and 5 are complimentary angles, 3+5 = 180 degrees, => 1 ≈ 5.

7 and 8 are complimentary angles, 7+8 = 180 degrees, => (given that 1 ≈ 7 and therefore ≈ 4) 8 ≈ 2 ≈ 3

6 and 8 are complimentary angles, 6+8 = 180 degrees, => 6 ≈ 7 ≈ 1

and with 1≈5 and 1≈6 we know 5≈6.

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