A vending machine dispenses coffee into a twelve ounce cup he amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.006 ounce. You can allow the cup to overfill 4â% of the time. What amount should you set as the mean amount of coffee to beâ dispensed?

Answers

Answer 1

Answer:

this mean amount of coffee to be dispensed would be 11.99, approximately 12

Step-by-step explanation:

first of all we have this information available to answer this question.

standard deviation σ = 0.006 ounces

prob(x > 12) = 0.04

we use this formular to find the mean

z = x - μ/σ

 the value of the z score at 4% is equal to 1.7507

such that

[tex]1.7507 = \frac{12-u}{0.006}[/tex]

we cross multiply from this stage

1.7507*0.006 = 12-μ

0.0105042 = 12-μ

μ = 12 - 0.0105042

herefore, the mean amount μ = 11.99 this can be approximated to 12


Related Questions

An astronaut on the moon throws a baseball upward. the astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is 50 ft per sec. the height s of the ball in feet is given by the equation s=-2.7t^2+50t+6.5 ​, where t is the number of seconds after the ball was thrown. complete parts a and b.

Answers

Answer:

Step-by-step explanation:

This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.

WILL GIVE BRAINLIEST!!!!!!! A boy had 20 cents. He bought x pencils for 3 cents each. If y equals the number of pennies left, write an equation showing the dependence of y on x. What is the domain of the function?

Answers

Answer:

[tex]\displaystyle \text{Function: }{y=20-3x,\\\text{Domain: }(-\infty, \infty)\text{ or }\mathbb{R}[/tex]

Step-by-step explanation:

If the boy initially had 20 cents, then the total number of cents he will have left after purchasing [tex]x[/tex] pencils is equal to the total cost of the pencils subtracted from 20. The total cost of [tex]x[/tex] pencils, in cents, is equal to [tex]3x[/tex], since each pencil is 3 cents.

Therefore, the total amount, in cents, that the boy has left, [tex]y[/tex], is equal to [tex]20-3x[/tex]:

[tex]\displaystyle \text{Equation: }\boxed{y=20-3x}[/tex]

The domain of this function is [tex](-\infty, \infty)[/tex] or all real numbers [tex]\mathbb{R}[/tex].

help needed right away this is timed

Answers

I think it might be x

HELP What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).

It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.

Answers

9514 1404 393

Answer:

  (d) enlargement with scale factor greater than 1

Step-by-step explanation:

The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.

__

Additional comment

In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.

Answer:

D.

Step-by-step explanation:

What is the equation of the line that is parallel to the line 5x+2y=12 and passes through the point (-2,4)

Answers

Answer:

[tex]y=-2.5x-9[/tex]

Step-by-step explanation:

One is given the following equation.

[tex]5x + 2y = 12[/tex]

The problem asks one to find a line that is parallel to this one, and passes through the point: [tex](-2, 4)[/tex]. The equation of the given line is in the standard format. The easiest approach to solve this problem is to change the equation of the given line into the slope-intercept format. The solve intercept format follows the following general equation:

[tex]y=mx+b[/tex]

Where (m) is the slope of the line and (b) is the y-intercept. Manipulate the given equation such that it follows this format:

[tex]5x+2y=12\\2y=12-5x\\y=6-2.5x\\\\y=-2.5x+6[/tex]

One property of parallel lines is that they have the same slope. Therefore, if one uses the slope-intercept format to represent the slope of the parallel line, then one can state the following:

[tex]y=-2.5x+b[/tex]

Substitute a given point on this line ([tex]-2,4[/tex]) , and solve for (b) to find (b):

[tex]y=-2.5x+b\\(4)=-2.5(-2)+b[/tex]

Simplify,

[tex]4=-2.5(-2)+b\\-4=5+b[/tex]

Inverse operations,

[tex]-4=5+b\\-9=b[/tex]

Substitute this back into the equation in slope-intercept form to find the equation of the parallel line:

[tex]y=-2.5x-9[/tex]

Which phrase describes an unknown or changeable quantity

Answers

Answer:

a variable

Step-by-step explanation:

because it varies

A variable it changes

Daphne has a rope that is 60 meters long. She wants to use it to mark the boundary of a circle whose radius is an integer. What's the largest possible radius for her circle, in meters?

Answers

9514 1404 393

Answer:

  9 m

Step-by-step explanation:

The relationship between radius and circumference is ...

  C = 2πr

Daphne wants r an integer such that ...

  60 m ≥ 2πr

  r ≤ (60 m)/(2π)

  r ≤ (30/π) m ≈ 9.549 m

The largest integer radius Daphne can use is 9 meters.

Name different types of triangles and illustrate how you can introduce each triangle to the foundation phase learner during a lesson presentation. Mention the resources that you will use​

Answers

The types of triangles are: equilateral, isosceles, scalene, right angled, acute angled and obtuse angled triangle.

Triangles are plane shapes with three straight sides. Triangles are classified with respect to either their length of sides, or the measure of each internal angles.

1. Classification of triangles with their length of sides:

i. Equilateral triangle: This implies a triangle with equal length of sides.

ii. Isosceles triangle: This triangle has two of its side with equal length.

iii. Scalene triangle: In this triangle, non of its sides has equal length.

2. Classification of triangles with their internal angles:

i. Acute angled triangle: This triangle has all its angles less than [tex]90^{o}[/tex].

ii. Right angled triangle: This has one of its angles to be a right angle.

iii. Obtuse angled triangle: This triangle has one of its internal angles to be greater than [tex]180^{o}[/tex].

Therefore, there are generally six types of triangles of two classes.

Resources: Set squares, triangular prism, marking board and a marker etc.

For more information: https://brainly.com/question/18075714

What is the x- intercept y =2x^2-8x+6?

Answers

Answer:

see your answer in the image

with full detail

mark me brainlist

Step-by-step explanation:

Answer:

(3,0) , (1.0)

Step-by-step explanation:

Find the measure of missing angle

Answers

Answer:

58 degrees

Step-by-step explanation:

90 - 32 = 58

The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other.
What is the length of the longer side?

Answers

Answer:

30

Step-by-step explanation:

p=2l+2w

p=2(2w)+2w

p=4w+2w

p=6w

p=90

90=6w

15=w

Could someone help with question 7?

Answers

Answer:

x=35

Step-by-step explanation:

since the two triangles are similar, we can set up a proportion to find x:

4/14=10/x

4x=140

x=35

write your answer in simplest radical form​

Answers

Answer:

n = 8√2

Step-by-step explanation:

It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2

Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies. how many different choices are available ?
a. 78
b. 34
c. 32
d.39

Answers

Answer

I guess

39 different choice are available

What’s the value of x in the parallelogram

Answers

Answer:

145 degrees

Step-by-step explanation:

I'd say that because if it were 135, it would have to be bigger than a right angle and it also isn't a right angle so it has to be acute or less than 90 degrees

Hope this helps!!:)

Answer:

x = 45*

Step-by-step explanation:

m
m
m
135 + 135 + x + x = 360*

270 + x + x = 360*

x + x = 90*

90/2 = x

x = 45*

Consider this function rule: multiply the input by two and then subtract one to get the output. Write an equation that gives this rule in symbolic form

Answers

Answer:

f(x)=2x-1

Step-by-step explanation:

The output is f(x). The input is x.

The prompt says to multiply the input by 2, so 2x.

Then subtract 1 to get f(x).

Hope this helps!

What is the solution set of 7 x2 + 3 x = 0? {0, 3/7} {0, -3/7} {0, -4/7}

Answers

Answer:

[tex]{ \tt{7 {x}^{2} + 3x = 0 }} \\ { \tt{x(7x + 3) = 0}}[/tex]

Either x = 0 or ( 7x + 3 ) = 0 :

[tex]{ \tt{7x + 3 = 0}} \\ { \tt{x = - \frac{3}{7} }}[/tex]

Answer:

[tex]{ \bf{(0, \: - \frac{3}{7}) }}[/tex]

Simplify the radical expression.

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

[tex]-\sqrt{5q^{3} } \times3\sqrt{35}[/tex]

[tex]-\sqrt{5} \times\sqrt{q^{3} } \times3\sqrt{5} \times\sqrt{7}[/tex]

[tex]-15\sqrt{7q^{3} }[/tex]

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

Hope it helps...

have a great day!!

find the equation of a line perpendicular to 4x-y=4 that contains the points (0,3)​

Answers

9514 1404 393

Answer:

  x + 4y = 12

Step-by-step explanation:

The perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. Then those new coefficients can be used with the coordinates of the given point to find the required constant.

  line: 4x -y = 4

  perpendicular line: x +4y = constant

Through (0, 3):

  0 +4(3) = constant = 12

The perpendicular line has standard form equation x +4y = 12.

Answer:

Step-by-step explanation:

y=-1/4x+3

The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is

(y-hat) = 27.922+0.302x

Brand Price Score
Bose 180 76
Scullcandy 160 76
Koss 95 69
Phillips/O'Neill 70 58
Denon 80 50
JVC 35 26

Required:
Does the t test indicate a significant relationship between price and the overall score?

Answers

Answer:

Relationship exists between price and overall score

Step-by-step explanation:

Given the data:

Brand Price Score

Bose 180 76

Scullcandy 160 76

Koss 95 69

Phillips/O'Neill 70 58

Denon 80 50

JVC 35 26

Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875

H0 : no relationship exists

H1 : relationship exists

Using the R Coefficient ;

The test statistic :

T = r / √(1 - r²) / (n - 2)

n = 6

The test statistic :

T = 0.875 / √(1 - 0.875²) / (4)

T =0.875 / 0.05859375

T = 0.9333

The Pvalue from test statistic :

df = n - 2 ; 6 - 2 = 4

Pvalue(0.933, 4) = 0.02246

At α = 0.05

Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score

Brad is 12 years older than Sam. If Brad were 8 years older than he is now, he would
be twice as old as Sam. How old is Sam now?.

Answers

Answer:

Sam is 20 years old.

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
A) sin(-60)
B) cos(-60)
C) cos(60)
D) sin(60)

Answers

Answer:

sin(-60)

Step-by-step explanation:

its in form of sin(A-B) which formula is SinA.CosB-CosAsinB

66. If the length of one side of a triangle 6 and the length of another side is 2, which of the following cannot be the length of the third side of the triangle?
A) 8
B) 7
C)
D) 5

Answers

Answer:

A)

Step-by-step explanation:

what is C ? 6 ?

if that is the case, then my answer is A) 8

why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.

every side in a triangle must be shorter than the other two sides together.

but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.

that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.

On a piece of paper, graph y = 4x - 2. Then determine which answer matches the graph you drew.​

Answers

Answer:

it's A

Step-by-step explanation:

start at 2 on the y axis and go up 4 and right 1

Needs 20 characters even though the picture says it all.

Answers

It is b I seen it on the test yesterday on Plato

A new member of your team is visually impaired. He's having a hard time reading his computer screen. How can you show that you value diversity? a) Suggest the organization may not be a great fit. O b) Tell him to apply for a different job within the organization that does not b) require computer usage. 12 Od Tell him that he might want to schedule an eye exam. c) d) Provide access to technology that can magnify or read what is on the computer screen.

Answers

Answer:

job" (and any subsequent words) was ignored because we limit queries to 32 words.

What is cube root 16y^4/x^6
in simplest form?

Answers

Cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

What is cube root?

" Cube root is defined as the number when multiply three times and produce result as one original number one time."

According to the question,

Given expression,

[tex]\frac{16y^{4} }{x^{6} }[/tex]

Cube root of the given expression is,

[tex]\sqrt[3]{\frac{16y^{4} }{x^{6} }} \\\\\implies \sqrt[3]{\frac{(2)^{3}(2) y^{3} (y)}{(x^{2}) ^{3} }}\\\\\implies \frac{2y}{x^{2} } \sqrt[3]{2y}[/tex]

Hence, cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

Learn more about cube root here

https://brainly.com/question/12726345

#SPJ3

Answer:

B on edge

trust me bro

HELP ASAP!!!!!!!PLEASE SHOW WORK!!!!!! !!!!!

Answers

Answer:

Area = 12.82 miles²

Step-by-step explanation:

Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,

Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]

By substituting the values of sides a, b and the angle C,

Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]

        = 12.82 square miles

50 POINTS PLEASE HELP ME

Answers

Answer:

4 -6x^2

Step-by-step explanation:

f°g = f(g(x))

We place g(x) in for x in the function f(x)

= 4-2(g(x)) = 4-2(3x^2) = 4 -6x^2

B.4-6x²

Answer:

Solution given:

f(x)=4-2x

and

g(x)=3x²

now

f o g(x)=f(g(x))=f(3x²)=4-2*3x²=4-6x²

Ravi bought 50kg rice at the rate it tk40 per kg and sold it at the rate of tk44 per kg. What is the amount of profit or loss?

Answers

Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

Answer: -34Mark me as brainlist and give me 20 thx pls
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