A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?

Answers

Answer 1

Answer:

x=20.938

Step-by-step explanation:

-2.053748911 = (x - 21)/.03

x=20.938


Related Questions

Find the distance between the two points (1.5,2.7) and (3.5,4.3) given in polar coordinates and using radians.

Answers

Answer:

2.56

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3.5 - 1.5)² + (4.3 - 2.7)²

√(2)² + (1.6)²

√(4) + (2.56)

√6.56

= 2.56

help me out, so I can confirm my answers...:)​

Answers

Answer:

Step-by-step explanation:

i) 18 - 2b = 5a

18 - 2b - 5a = 0

-2b -5a = -18

2b + 5a = 18

5a + 2b = 18

ii) 3a = 5b + 17

3a - 5b = 17

At this time x = 3, y = -5, c= 17

ax + by = c is equivelant to 3a -5b = 17

So another equation is:

3a - 5b = 17

Answer from Gauthmath

Step-by-step explanation:

18-2b=5a

we want to make 5a the subject so first we 5a to the left so our new equation is 5a+18-2b=0

then we move the 2b infront of the +18 so then our new equation is 5a+2b+18=0 then. we move the +18 to the other side to give 5a+2b=18

How to solve following question?
In an upcoming election, 15% of married voters will vote for Candidate A, while the rest will vote for Candidate B; 80% of unmarried voters will vote for Candidate A, while the rest will vote for Candidate B. Which of the following represents the lowest percentage from all voters combined (married and unmarried) that must be unmarried (not married) in order for Candidate A to win the election?

Answers

Answer:

The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.

Step-by-step explanation:

Proportion married:

x are married

1 - x are unmarried.

Will vote for candidate A:

15% of x

80% of 1 - x. So

[tex]0.15x + 0.8(1-x)[/tex]

Candidate A wins:

If his proportion is more than 50%, that is:

[tex]0.15x + 0.8(1-x) > 0.5[/tex]

[tex]0.15x+ 0.8 - 0.8x > 0.5[/tex]

[tex]-0.65x > -0.3[/tex]

[tex]0.65x < 0.3[/tex]

[tex]x < \frac{0.3}{0.65}[/tex]

[tex]x < 0.4615[/tex]

Highest percentage of married is 46.15%, so:

The lowest percentage of unmarried is:

100 - 46.15 = 53.85%.

The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.

7. Find the missing side. Round to the nearest tenth​

Answers

Hi there!

[tex]\large\boxed{x \approx 19.6}[/tex]

We can use right triangle trigonometry to solve.

We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:

Use cosine: cos Ф = A / H

Thus:

cos 30° = 17 / H

Simplify:

0.866 = 17 / H

Isolate for H:

H · 0.866 = 17

H = 17 / 0.866

H = 19.63 ≈ 19.6

Answer:

x = 19.6

Step-by-step explanation:

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

cos theta = adj / hyp

cos 30 = 17/x

x cos 30 = 17

x = 17/cos 30

x=19.62990

To the nearest tenth

x = 19.6

Five trucks are to be transported on a ship. Each one weighs 3200 kg and comes
with 8 tyres which weigh 125 kg each. what is the total weight

Answers

Total No of trucks: 5

Weight of trucks: 3200Kg

Total weight of trucks: 3200×5

= 16000kg

Total no of tyres = 5 ×8

= 40

Weight of each tyre = 125kg

Total weight of tyres = 125 × 40

= 5000Kg

The total weight of trucks and tyres: 16000 + 5000

= 21000Kg

Answered by Gauthmath must click thanks and mark brainliest

whats 5 + 5 i need help my iq is 1 i need help pls pls pls pls

Answers

Answer:

Here are some activities you can do to improve various areas of your intelligence, from reasoning and planning to problem-solving and more.

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Continued education.

It would be 10. If someone gives you 5 coins, and then another 5 coins, you would have 10 coins. I hope this helped.

Một công ty sản xuất ván trượt có thể bán một cái ván trượt với giá $60.

Tổng chi phí cho sản xuất bao gồm chi phí cố định là $1200 và chi phí để sản xuất một cái ván trượt là $35.

Nếu công ty đó bán được 80 cái ván trượt thì công ty đó

Answers

can you translate so I can help you out


What is the slope of the line that passes through the points (9, -1) and (4, -11)?
Write your answer in simplest form.

Answers

Answer:

2

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

    = ( -11 - -1)/( 4 -9)

    = (-11+1)/( 4-9)

    -10/ -5

   = 2

A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 22 feet and 24 inches thick. If the local home supply store sells concrete for $ 110 per cubic yard, what will be the cost of the concrete for the foundation?
Express your answer rounded up to the next whole dollar.

Answers

Answer:

$38427

Step-by-step explanation:

Surface Area Formula: A=2(wl+hl+hw) where l=length w=width h=height

A=2((20(22))+(22(2))+(20(2)) = 1048ft^2

3 ft = 1yds -> 1048 ft = 349 1/3 yds

349 1/3(110)= 38426.66666

$38427

Answer: $2,613,600

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and a rectangular prism.

When there are multiple units occurring in the same question, then we should convert all the units into one by different conversion factors.

A rectangular prism is a three-dimensional figure that has 6 sides that are rectangles.

1 foot = 12 inches

1 yard = 3 feet

V (rectangular prism) = w · l · h

Solve:

24 inches = 24 / 12 = 2 feet

$110 per cubic yard = 110 × 3³ = $2970 per cubic feet

V = w · l · h

V = (20) (22) (2)

V = 880 feet³

880 × 2970 = $2,613,600

Hope this helps!! :)

Please let me know if you have any questions

how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145

Answers

Answer:

count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater

1,000
the 5 in 45,039 has a value of 1,000 while the 5 in 271,145 has a value of 1 and 1,000/1=1,000

Slope 0; through (-5, -1)
with steps please.

Answers

Step-by-step explanation:

0 slope means it has in x.

so the equation is y=-1, because that is the coord for the points'y axsis

What is the remainder when (2x^3 + 4x^2 – 32x + 18) = (x + 3)?

Answers

Answer:

X= -5.3 & Y= -2.34

X= 0.49 & Y= 3.49

X= 2.85 & Y=5.85

Step-by-step explanation:

To find the intersection you would need to graph it and locate where both lines will intersect.

The graph shows the solution of the following system of equations. y=-5/3x+3 y=1/3x-3 What is the solution? A. (-3,2) B. (3,2) C. (-3,-2) D. (3,-2)

Answers

Answer:

(3,-2)

Step-by-step explanation:

-5/3x + 3 = 1/3x - 3

-5/3x = 1/3x - 6

-2x = -6

x = 3

y = -5/3(3) + 3

y = -5 + 3

y = -2

Alice wants to estimate the percentage of people who plan
on voting yes for the upcoming school levy. She surveys
380 individuals and finds that 260 plan on voting yes.
Identify the values needed to calculate a confidence interval
at the 90% confidence level. Then find the confidence interval.
zo10 z0.05 zo.025 zo01 z0.005
1.282 1.645 1.960 2.326 2.576
Use the table of common z-scores above.

Answers

Answer:

"[tex]0.6450 < p < 0.723[/tex]" is the right solution.

Step-by-step explanation:

Given:

n = 380

x = 260

Point estimate,

[tex]\hat p = \frac{x}{n}[/tex]

  [tex]=\frac{260}{380}[/tex]

  [tex]=0.6842[/tex]

Critical value,

[tex]Zc = 1.645[/tex]

Standard error will be:

[tex]S.E = \sqrt{\frac{0.6842(1-0.6842)}{380} }[/tex]

      [tex]=0.0238[/tex]

Margin of error will be:

[tex]E = Zc\times S.E[/tex]

   [tex]=1.645\times 0.0238[/tex]

   [tex]=0.0392[/tex]

hence,

Confidence level will be:

= [tex]\hat p \pm E[/tex]

= [tex]0.6842 \pm 0.0392[/tex]

= [tex]0.6450 < p < 0.723[/tex]

An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share.

Answers

Answer:

e < 24 is the inequality which shows the possible earnings per share.

Explanation:

x, will stand for the variable for earnings and less than, means it will not be higher nor the same as 24. Thus, being leaves us with one sign. The open part facing 24 means that 24 is the bigger number, therefore the smaller side represents that x has to be smaller than 24.

Answer: x<24

Step-by-step explanation:

x, will stand for the variable for earnings and less than means it will not be higher nor the same as 24. Thus being leaves us with one sign. The open part facing 24 means that 24 is the bigger number therefore the smaller side represents that x has to be smaller than 24.

Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 8 normal subjects was 1.71 mm, and the sample standard deviation was .53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.53 and .87, respectively.

Required:
a. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects?
b. State and test the relevant hypotheses using a significance level of 0.01.

Answers

Answer:

Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.

Step-by-step explanation:

H0 : μ1 = μ2

H1 : μ1 < μ2

Given :

m = 8 ; x1 = 1.71 ; s1 = 0.53

n = 10 ; x2 = 2.53 ; s2 = 0.87

The test statistic :

(x1 - x2) / √(s1²/m + s2²/n)

(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)

-0.82 / √0.1108025

Test statistic = - 0.82 / 0.3328700

Test statistic = - 2.463

The degree of freedom using the conservative approach :

Smaller of (10 - 1) or (8 - 1)

df = 7

TCritical value(0.01, 7) = 2.998

Decision region :

Reject H0 if |Test statistic| > |critical value|

Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?

20%
40%
50%

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

20%

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The banner reads that there is an 80% chance of winning a prize.

⸻⸻⸻⸻

[tex]100\% - 80\% = \boxed{20\%}[/tex]

⸻⸻⸻⸻

There is a 20% chance that the player would not win.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library? ​

Answers

Answer: 9 miles I think but I dont know where her house is exactly.

please help with math

Answers

Answer:

98

Step-by-step explanation:

2, 10, 18, 26, 34, 42, 50... 98

Hope this helps. Have a great day!

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.4 hours. Assuming the distribution of study times is normal, what percent of students study between 22.9 and 25.7 hours

Answers

Answer:

Approximately 68% of students study between 22.9 and 25.7 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 24.3 hours, standard deviation of 1.4 hours.

What percent of students study between 22.9 and 25.7 hours?

22.9 = 24.3 - 1.4

25.7 = 24.3 + 1.4

Within 1 standard deviation of the mean, so:

Approximately 68% of students study between 22.9 and 25.7 hours.

Select the correct answer. Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not congruent. B. A translation will prove that shape 2 is congruent to shape 1. C. A rotation and a translation will prove that shape 2 is congruent to shape 1. D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Answers

Answer:

Since I cant say which answer due to no graph, I'll tell you How to do so.

Step-by-step explanation:

if it is A, then the there is at least one angle or line length that is not the same. To find the area of a grided shape, use the traingle theorm of a^2+b^2=c^2.

if it is B, that meants moving the shape to the other will result in a perfect fit. Be sure to find if all side lengths are the same as that means that the shape IS congrouent, as equal side length means equal angles. However, it will not be this choice if the shape is mirrored to the other

A rotation and tranlastion means it is flipped either upside down or up and moved to the shape.

D, a reflection, which means its the opposite. Like a mirrored shape. Then you move it.

Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.​

Answers

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

The required simplified value of c is zero for which the angle between a and b is 45°.

What is a vector?

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Here,
scaler product is given as,
a . b = |a|.|b|cos45
(i + cj). (i + j) = √[1² + c²] . √[1²+1²] × 1/√2
1 + c = √1 + c²

Squaring both sides
(1 + c)² = 1 + c²
1 + c² + 2c =1 + c²
2c = 0
c = 0

Thus, the required simplified value of c is zero for which the angle between a and b is 45°.

Learn more about vectors here,

https://brainly.com/question/13322477
#SPJ2

An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?

Answers

Answer:

The appropriate answer is "256".

Step-by-step explanation:

Given:

Standard error,

SE = 128.13

Standard deviation,

[tex]\sigma[/tex] = $2050

As we know,

⇒ [tex]SE = \frac{\sigma}{\sqrt{n} }[/tex]

or,

⇒ [tex]\sqrt{n}= \frac{\sigma}{SE}[/tex]

By substituting the values, we get

         [tex]=\frac{2050}{128.13}[/tex]

         [tex]=\frac{205000}{12813}[/tex]

     [tex]n = (\frac{205000}{12813} )^2[/tex]

         [tex]=255.98[/tex]

or,

         [tex]=256[/tex]

   

Find the measure of TU
A. 8
B. 12
C. 14
D. 11

Answers

Answer:

D. 11

Step-by-step explanation:

First apply the secant-secant theorem to find the value of x.

Thus,

VU(TU + VU) = VW(BW + VW) (secant-secant theorem)

Substitute

(7)(x + 4 + 7) = (9)(-2 + x + 9)

7(x + 11) = 9(7 + x)

7x + 77 = 63 + 9x

Collect like terms

7x - 9x = 63 - 77

-2x = -14

Divide both sides by -2

x = 7

✔️Find TU

TU = x + 4

Substitute get value of x

TU = 7 + 4 = 11

Answer:

11

Step-by-step explanation:

Do number three plz triangle theorem​

Answers

Answer:

AA

Step-by-step explanation:

We know that all three angles are similar  as shown by the markings

I would use  AA, or the Angle Angle theorem

seven times a number decreased by the number is -48 . Find the number.

Answers

Answer:

a = -8

Step-by-step explanation:

Let the required number be "a".

Given that, seven times a number minus the number is -48

7 × a - a = -48

7a - a = -48

6a = -48

a = (- 48) / 6

a = -8

answer this now please :)

Answers

9514 1404 393

Answer:

  E.  384 cu ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so the width is ...

  (40/2) -12 = 8 . . . feet

The depth is half that, so is 8/2 = 4 feet.

The volume is ...

  V = LWH = (12 ft)(8 ft)(4 ft) = 384 ft³


Use the graphing calculator to graph the function f(x) = Vx. Which table of values contains points that lie on the
graph of the function?

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming your Vx means √x, the values in the f(x) column will be the square root of the values in the x column. That is the case for the first table shown (also attached).

Graph the compound inequality on the number line. x > 7 or x < -4​

Answers

OSEAMENTE no se la respuesta

Question 24 of 58
Four classmates collect data by conducting a poll. They
ask students chosen at random how many books they
have to read for English class.
• Kevin interviews 25 students.
• Mary interviews 92 students.
• Sydney interviews 24 students.
• Caleb interviews 31 students.
Whose results are probably the most trustworthy?
O A. Mary's
OB. Sydney's
C. Kevin's
D. Caleb's
SUBMIT

Answers

Answer: Mary

Mary is more trustworthy because she interviews more students, therefore has a more accurate range of answers.
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