On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes. How often will it take the factory more than 27 minutes to manufacture a pair of running shoes?

Answers

Answer 1

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

[tex]Z=\dfrac{27-21 }{3 } = 2[/tex]

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.


Related Questions

What is the value of the expression below when z = 6

Answers

Answer:

81

Step-by-step explanation:

[tex]2z^2+2z-3[/tex]

Using PEMDAS/BODMAS, we will have to do the exponent first, which is [tex]z^{2}[/tex].

Substitute the variable z with 6, since z = 6.

[tex]2(6^{2} )+2(6)-3[/tex]

[tex]6^{2} =36[/tex].

Thus, we will get

[tex]2(36)+2(6)-3[/tex]

Solve the multiplication next.

[tex]72+12-3[/tex]

Finally, add/subtract the numbers:

[tex]84-3[/tex]

[tex]81[/tex]

The value of the equation 2z² + 2z - 3 at 'z' equal to 6 is 81.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, A quadratic equation 2z² + 2z - 3.

Now, The value of the equation at z = 6 can be obtained if we replace the variable z with it's numerical value which is,

= 2(6)² + 2(6) - 3.

= 2(36) + 12 - 3.

= 72 + 9.

= 81.

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I need the answer and the work (it’s geometry)

Answers

Answer:

B

Step-by-step explanation:

∠ CBD = ∠ ABE ( vertical angles ), thus

7x - 6 = 5x + 14 ( subtract 5x from both sides )

2x - 6 = 14 ( add 6 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Thus

∠ ABE = 5x + 14 = 5(10) + 14 = 50 + 14 = 64° → B

• How do you recognize a proportional relationship in a graph?​

Answers

U have to check these: (proportional)
1. Does it pass through (0,0)?
2. Is the equation for the graph is y=kx ?
For example: y= 3x
• if the simplified ratio of y/x are equal then they are proportional

Not proportional:
1. Does NOT pass through (0,0)
2. Equation format is y=mx+b
For example : y=3x+11

Which of the following functions best describes this graph?
A. y = x2 -5x + 6
B. y = (x - 1)(x - 1)
C. y = x2 - x +5
D. y = (x - 3)(x + 1)

Answers

Answer:

B

Step-by-step explanation:

I think B because look at the line going down

which of the following shows the correct solution steps and solution to 3x+2=17?

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

[tex]\sf 3x + 2= 17[/tex]

Subtracting 2 to both sides

[tex]\sf 3x = 17-2\\3x = 15[/tex]

Dividing both sides by 3

[tex]\sf x = 15/3\\x = 5[/tex]

The correct solution to the equation 3x + 2 = 17 is x = 5.

Let's find the correct solution to the equation 3x + 2 = 17:

Step 1: Subtract 2 from both sides to isolate the term with 'x':

3x + 2 - 2 = 17 - 2

3x = 15

Step 2: Divide both sides by 3 to solve for 'x':

3x / 3 = 15 / 3

x = 5

So, the correct solution to the equation 3x + 2 = 17 is x = 5.

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Simplify (4x+5y)(2x-3y)+3xy

Answers

Answer:

2x+8y

Step-by-step explanation:

Answer: 8x^2 - 15^2 + xy

Step-by-step explanation:

expand brackets by multiplying

(4x+5y)(2x-3y)+3xy

8x^2 - 12xy + 10xy - 15y^2 + 3xy

collect like terms

8x^2 - 15y^2 -12xy + 10xy + 3xy

solve

-12xy + 10xy + 3xy

=1xy (note: when writing/typing the answer, don't add 1 in front of the xy.)

final answer: 8x^2 - 15y^2 + xy

The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.

a = F + m
a = F − m
a = Fm
a = F divided by m

Answers

Answer:

a = F/m

Step-by-step explanation:

F = ma divide m by both sides

F/m = a

Answer:

D

Step-by-step explanation:

2 times the difference of 8 and 1?

Answers

Answer:

16

Step-by-step explanation:

8/1=8

8x2=16

14
Step by Step:
8-1 = 7
7x2 is 14

the square root of 26 as a whole number

Answers

Answer:

5

Step-by-step explanation:

5.0990195135928 there is no whole number

ok so like I need helpp ;-;​

Answers

Answer:

i think the answer is B because 3/4 is more than 2/3

Answer:

its b.

Step-by-step explanation:

if you convert them, so they both have the same dominator, nadias recipe ends up needing more flour.

What is the value of w2 +3x +y -z when w = 3, x = 8, y = 2 and z = 5?

Answers

Answer:

32

you add everything together and put W X Y Z all pf those numbers where they belong!!

Good luck!!

Answer:

30

Step-by-step explanation:

w^2 +3x +y -z where w = 3, x = 8, y = 2 and z = 5

thus: (3^2) + 24 +2 - 5 = 30

In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study

Answers

Answer:

It is an example of an observational study.

Step-by-step explanation:

The given number case is example of an observational study.

What is Observational study?

Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.

Given:

In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.

Smoking and alcohol consumption habits were recorded for all 3 groups.

The above is somehow the example of research which requires an observation which does not change any data.

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Jenny needs to sew two pieces of fabric together. One of the pieces is 3 1/12 inches and the other one is 6 5/8. What is the length of the pierce of fabric

Answers

Answer:

9 17/24in

Step-by-step explanation:

3 1/12 + 6 5/8 = length of fabric

We can add 3 and 6 since they are whole inches.

3 + 6 = 9

Now we add the fractions

1/12 + 5/8

We need to find a common denominator.

Each number goes into 24 so

1/12*(2/2) = 2/24      and     5/8*(3/3) = 15/24

2/24 + 15/24 = 17/24

So the total length of fabric is 9 17/24in

How many dots would be in the next image?

Answers

In each image they add a dot going up and a dot going across, the last diagram is 4 by 5, so the next one is 5 by 6. Multiply 5 by 6 and you get 30.

Libby donated​ $50 during the first month of the year. If she makes three additional donations of equal amounts during the​ year, how much will she need to donate each time to be in the Silver​ category?

Answers

Answer:

She will donate P-50/3 each time

Step-by-step explanation:

Now assuming total donation needed to be in the silver category Is P

We can assume also the three additional and equal donations be Q

So

Then 50 + 3Q = P

So we still don't know P

We can get Q by saying

3Q= P - 50

Q = (P - 50) /3

find the value of n: 7n-12=16

Answers

Answer:

4.

Step-by-step explanation:

7n - 12 = 16

7n = 16 + 12 = 28

Since 7n = 28, n = 28 / 7 = 4.

how to
factorie 6x²+19x+15​

Answers

Answer:

(3x + 5)(2x + 3)

Step-by-step explanation:

[tex]6 {x}^{2} + 19x + 15 \\ = 6 {x}^{2} + 10x + 9x + 15 \\ = 2x(3x + 5) + 3(3x + 5) \\ = (3x + 5)(2x + 3)[/tex]

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?

Answers

Answer:

a.

Step-by-step explanation:

What is the value of f(-8)

Answers

For this question, you didn't gave enough details.

Read the function given by the question first.

After that substitute x with - 8.

True or False: Segment Y M is congruent to segment PW. GT Y BM PD W -10 -5 0 5 10 Select one: O True O False​

Answers

Answer:

[tex]\huge\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

Length of YM = 1 - (-6)   [This is it's endpoints]

YM = 1 + 7

YM = 8

Length of PW = 9 - 5    [Subtraction of endpoints to get the length]

PW = 4

So, Segment YM is not congruent to segment PW.

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the heighty, in feet, of the tree after x years if the tree grows at
a constant rate? Check all of the boxes that apply.
y - 6 =3(x - 10)
y-16 = 3(x-9)
y = 3x - 11
y=-3x - 23

Answers

I'm not good in this but.....

x = years

9x-6x = 16-7

3x = 9

x = 3

That means the tree will grow three feet per year.

Multiply. 4x2 (2x3 + x2 - 3) A. 8x6 + 4x4 + 12x2 B. 8x6 + 4x - 12x2 C. 8x5 + 4x4 - 12x2 D. 8x5 + 4x4 + 12x2​

Answers

Answer:

[tex] \boxed{ \bold{\sf{ { \boxed{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

[tex] \sf{4 {x}^{2} (2 {x}^{3} + {x}^{2} - 3})[/tex]

Distribute 4x through the parentheses.

[tex] \dashrightarrow{ \sf{4 {x}^{2} \times \: 2 {x}^{3} + 4 {x}^{2} \times {x}^{2} - 4 {x}^{2} \times 3}}[/tex]

[tex] \dashrightarrow{ \sf{8 {x}^{5} + 4 {x}^{4} - 12 {x}^{2} }}[/tex]

Hope I helped!

Best regards! :D

C is the correct option

Step-by-step explanation:

help 9 - [{x - (7 + x)}

Answers

Answer:

2-2x?

Step-by-step explanation:

9 - [{x - (7 + x)}

9-(x-7-x)

9-2x-7

2-2x

Evaluate this expression for c=6, and a=2. c/a.

Answers

Answer:

We know that....

c=6

a=2

so c/a = 6/2 = 3

Hope this helps....

Have a nice day!!!!!

Mark my ans as brainliest ang get 3 extra points

Answer: 3

Explanation: Here we're asked to evaluate [tex]\frac{c}{a}[/tex] if c = 6 and a = 2.

[tex]\frac{c}{a}[/tex] means the same thing as c divided by a and since we know that c = 6

and a = 2, we can substitute 6 in for c and 2 in for a and we have [tex]\frac{6}{2}[/tex] which is 3.

how to expand a using the distributive law

Answers

Answer:

2x(3x+5)+1(3x+5)

Step-by-step explanation:

The distributive law is the law that states that multiplying a number by a group of numbers is the same as doing each multiplication separately. Eg. A(B+C) =AB+AC

In the case of two sets of parenthesis it would look like:

2x(3x+5)+1(3x+5)

Which would give us:

6x^2 +10x +3x+5

6x^2+13x+5

The general format for 2 bracket ones would be:

(A+B) (C+D) =A(C+D) +B(C+D)

where the two terms in the first bracket go outside the second bracket twice individually because each term must be multiplied by all terms in the other bracket.

Hope this helped!

Which would be the best name for a function that takes the time of day and returns the numbers of coffee sold at a coffee shop? Answer choices: Coffee(time) Time(coffee) Day(time) Time(shops)

Answers

Answer:

Coffee(time)

Step-by-step explanation:

A function's output variable will be:

output(input)

So we need to find the input variable and the output variable.

We know that when the time of day changes, we get a certain amount of coffee sold. This means that the amount of coffee sold is directly influenced by the time of day.

The time of day then becomes our input as the coffee sold relies on that number.

That leaves coffee sold as our output!

So the best name for a function in this scenario is Coffee(time).

Hope this helped!

How can you find the unit rate in a table and in a graph? ​

Answers

Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.

I do not know about the curve in the graph.

If mXWZ = 90, what is x?

Answers

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

the greater of two consecutive odd integers is one less than twice the smallest. What are the integers?

Answers

Answer:

this might help you..

The required integers are 3 and 5.

It is required to find the integers.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Let smallest  number as x

the Largest number as (x+2)

According to given question we have,

(x+2)=2x-1

3=2x-x

∴x=3

Smallest  number=3

The Largest number =(x+2)=3+2=5

Therefore, the required integers are 3 and 5.

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Herb owanda is a computer operator for data base, inc. He earns $38,600 a year he is single and is paid on a weekly basis how much is withheld from each weekly paycheck for state taxes?

Answers

Answer: $14.85

Step-by-step explanation:

given data:

yearly earnings = $38,600

there are 52weeks in a year, so his weekly wages

= $38,600/52

= $742.31

his state tax rate falls under the 2% rate due to his income

= 2/100 * $38,600

= $772/52

= $14.85 is withheld from his weekly wages for the state tax.

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