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Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:

[tex]z = \frac{0.02}{s}[/tex]

[tex]z = \frac{0.02}{0.0067}[/tex]

[tex]z = 2.99[/tex]

The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.

z = -2.99 has a p-value of 0.0014.

2(0.0014) = 0.0028

0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

A similar problem is given at https://brainly.com/question/25212662

Step-by-step explanation:

customer need to purchase each year to save money = 100/15 × $12

= 1200/15

= $80

Answer:

Step-by-step explanation:

To save money, the customer needs to save the cost of the card first.

Solve it by ratios:

Solve for x:

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

Answer:

It was on for 12.4 minutes

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

rate of water = 1.5x

x = amount of time

18.6 = 1.5x

x = 12.4

Answer:

$4.47

Step-by-step explanation:

If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.

$1.49 x 3 = $4.47

Hope this was helpful =D

If it was, maybe I could be brainiest?

No pressure! :)

9514 1404 393

Answer:

  5.7×10^6 mi

Step-by-step explanation:

(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi

_____

Additional comment

When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.

Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1).  30.0×10^0 = 3.00×10^1

Answer:

36 cm

hope it helps have a great day

Answer:

16:18

Step-by-step explanation:

4 * 4= 16

2*4=8

Therefore

The ratio is 16:8

Hope this helps

Have a nice day! :D

Give brainliest if possible pls :)

Answer:

I know this isn't really help but Desmos is a good place to help you with stuff like this.

Answer:

y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6

Step-by-step explanation:

Slope (m) = 0.4

(8-y)/(3-x) = o.4

8-y = 1.2 - o.4x

6.8 - y = -0.4x

y = 0.4x + 6.8

From y = mx + c , where c is the y-intercept

hence 6.8

Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C

The probability is equal to 0.9788.

We have given that,

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.

We have to find the probability

Probability all dislike is

[tex]0.85^8= 0.27[/tex]

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

The probability that none dislike is,

[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]

At least 5 dislike

5 dislike 8C5

[tex](0.85)^5(0.15)^3= 0.0839[/tex]

6 dislike 8C6

[tex](0.85^6 0.15)^2= 0.2376[/tex]

7 dislike

[tex]8*(0.85^7) (0.15)=0.3848[/tex]

8 dislike

[tex]0.85^8= 0.2725[/tex]

Therefore the probability is equal to 0.9788.

To learn more about the probability visit:

https://brainly.com/question/25870256

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Answer:

the angle is not in standard position

Answer: c

Step-by-step explanation:

sin(45) =  [tex]\frac{12}{AB}[/tex]

sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]

so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]

[tex]AB = \frac{24}{\sqrt{2} }[/tex]

[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]

[tex]AB = \frac{24\sqrt{2} }{2}[/tex]

[tex]AB= 12\sqrt{2}[/tex]

Please give me a brainliest answer

[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]

Answer:

(n^3)/12

Step-by-step explanation:

1/12 * n^3

= (n^3)/12

Answer:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n

Step-by-step explanation:

You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]

This cancels out the n and turns the problem into:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]

I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].

Answer:

40 Apples

Step-by-step explanation:

3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.

Answer: 250

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

Answer:

-3

Step-by-step explanation:

hope it helps

Step-by-step explanation:

The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.

thankyou

Answer:

572/55 = $10.4

or

(572 * 2)/ 55 = $20.8

Step-by-step explanation:

You divide the amount earned over the number of hours worked.

Or

if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.

Answer:

50.3 (rounded) I think? Could be wrong, however, it's what I got

Answer:

1) 8 3/5

2) Option 3

Answer:

How

Step-by-step explanation:

You want to put picture in

The length of the shadow, h, to the nearest tenth of a foot is 86.6feet

To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA

The required setup will give a right-angled triangle.

If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet

The angle of elevation is 60 degrees

The length of the shadow will be the hypotenuse of the triangle as shown:

According to the trigonometry identity:

[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]

Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet

Learn more here: https://brainly.com/question/15580615

Answer:

7 1/7 square mm

Step-by-step explanation:

Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.

Answer:

Slope of PQ

m

r

=

y

Q

−

y

P

x

Q

−

x

P

=

1

−

5

−

1

−

(

−

2

)

=

−

4

Slope of QR

m

p

=

y

R

−

y

Q

x

R

−

x

Q

=

3

−

1

7

−

(

−

1

)

=

1

4

Slope of RP

m

q

=

y

R

−

y

P

x

R

−

x

P

=

3

−

5

7

−

5

=

−

1

Since slopes PQ & PR,

m

r

=

−

1

m

p

, it's a right triangle