A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
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Answers

Answer 1

Answer:400

Step-by-step explanation:

Answer 2

The mean of T is the expected weight of a selected cup filled with liquid

The mean of T is 400

The data on the table is given as:

               Mean    Standard Deviation

Liquid      250g              20g

Cup         150g                10g

Represent Liquid with L, and cup with C

To calculate the mean of T, we make use of the following formula for expected value

E(L + C)

Since L and C are independent random variables, then

[tex]E(L + C) = E(L) + E(C)[/tex]

Where E(L) and E(C) are the mean values of liquids and cups.

The equation becomes

[tex]E(L + C) = 250g + 150g[/tex]

[tex]E(L + C) = 400g[/tex]

Hence, the mean of T is 400

Read more about mean at:

https://brainly.com/question/13005177


Related Questions

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
A.
12.4%

B.
24.7%

C.
32.1%

D.
62.3%

Answers

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál


es el grosor de una hoja?

Answers

Responder:

0,01 cm

Explicación paso a paso:

Dado que :

Un paquete de 100 hojas iguales = 1cm de alto

Esto significa que el grosor del paquete es de 1 cm de alto.

Dado que las hojas son iguales, el grosor de una sola hoja será:

(Espesor del paquete completo / número de hojas en el paquete)

(1 cm / 100)

= 0,01 cm

Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.

Esto problema é solucionado por proporciones, se utilizando de una regla de três.

Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?

La regla de três es dada por:

100 hojas - 1 cm

1 hoja - x cm

Aplicando multiplicación cruzada:

[tex]100x = 1[/tex]

[tex]x = \frac{1}{100}[/tex]

[tex]x = 0.01[/tex]

Por eso, el grosor de una hoja es de 0.01 cm.

Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636

The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer should be 90 :)

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6

Answers

Answer:

Slope: -1, y-intercept: 2.

Step-by-step explanation:

3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.

1 1/2k + 1/2 (18 + 16k)
help pls

Answers

Answer:

[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]

The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?

Answers

Answer:

2.20 dollars/mile

Step-by-step explanation:

Given the function:

y = 4.75 + 2.20(x-1)

Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;

m is the rate of change of the cost

From the function given:

y = 4.75 + 2.20(x-1)

Open the parenthesis

y = 4.75 + 2.20x -2.20

y = 2.20x + 2.55

On comparing with the standard

m = 2.20

Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

Pls help easy points

Answers

are you just looking for the green space or more

Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99

Step-by-step explanation:

To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?

Answers

Answer:

30 oranges

Step-by-step explanation:

2 apples : 5 oranges

12 apples : 30 oranges

because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.

Which of these rational numbers is also an integer?
A - 2/4
B - 0.24
C - 4/2
D - 2.4

Answers

D because its a whole number thats not a fraction

Pleaseee help!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

no

Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class

Answers

Answer:

5

Step-by-step explanation:

he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class

Answer:

5

Step-by-step explanation:

 bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi

What is the equation of the given circle?

Answers

Answer:

According to the above figure,

Centre:(-3,2), radius =1

[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]

B. is the right answer.


Find the equation of the line with m = 2 and goes through (-4,5).PLEASE HELP

Answers

The Equation is y=+5
Why:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

HELP PLS I WILL MARK BRAINLIST IF CORRECT !!
-
1. 9 6/8 = n + 2 1/8

-
2. x — 2/9 = 6 5/9
-
3. y + 1/4 = 6 11/12
pls help me i dont understand any of this.

Answers

1. X= 61/8

2. X= 61/9

3. Y= 20/3

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Please help me I’m begging u it’s due in 10 minutes!!

Answers

Answer:

y= -1

Step-by-step explanation:

subtract, so x cancels out.

you are left with 2y=-2

y= -1

Answer:

y = - 1

Step-by-step explanation:

x + y = 1 .......... (1)

x - y = 3 .......... (2)

(1) + (2)

2x = 4 ⇒ x = 2

2 + y = 1 ⇒ y = - 1

(2, - 1)

a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there?

Answers

Answer:

9400

Step-by-step explanation:

I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!

Pls I need the answer

Answers

Answer:

13/200

Step-by-step explanation:

so we grab the fraction:

6 1/2%

make it a decimal instead of a fraction

6.5%

divide it by 100 to get

6.5/100

and multiply it by 2 because decimals have no place inside fractions lol

13/200

Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

What is the range of the mapping?

Answers

The range of the mapping is 1,4

The side opposite from the right angle is called

Answers

Answer:

The side opposite from the right angle is called the hypotenuse.

PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?

Answers

Answer:

x the (x) value of the ordered pair, it is proportional.

Step-by-step explanation:

Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27

Answers

It is B i’m pretty sure! I hope this is correct

if 50% is 7 what is 25%, 75%, and 100%​

Answers

Answer:

100% = 14

75% = 10.5

25% = 3.5

Answer:

100% = 1475% = 10 1/250% = 725% = 3 1/2

Step-by-step explanation:

50% if a number is also 1/2 of that number. So, we multiply 7 by 2 to get 14.

Now we know that we need to solve for 25%, 75%, and 100% of 14.

100% of a number is just that number, so 100% of 14 is 14.

To solve for 75% of 14, we multiply 3/4 by 14.

3/4 x 14/1 = 42/4 = 10 1/2

The final number to solve for is 25% of 14.

1/4 x 14/1 = 14/4 = 3 1/2

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