Mathematics College

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

You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project? A3 B.6 C. 18 D. 27

I need to know the explanation on how to find the answer out as well, please and thank you.

Answers

Answer:

C

Step-by-step explanation:


Work out 5/7
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Give your answer correct to the nearest whole number.

Answers

Answer: 71

Step-by-step explanation: 100x (5\7) = 71.4

Answer:

71.5

Step-by-step explanation:

5/7 of 100=(5×100)÷7=500÷7=71.5

is 11/12 equivalent or greater to 11/13​

Answers

Answer:

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Step-by-step explanation:

Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.

Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Verification :-

[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]

[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]

3x=210 what's x equal

Answers

x=70, 21 divide 3=7 and then add a 0 from the 210 and get 70.

Answer:

x = 70

:-))

..... . .. . . . . ... ..

The function f(x)=2x-6 and g(x) is shown in the table

Answers

Answer:

Multiply then add them and them that's your answer.

Step-by-step explanation:

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Answers

Answer:

YX < YW < XW

Step-by-step explanation:

12v +(v+57) + (v+39) = 180

14v + 96 = 180

14v = 84

v = 6

3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)

side length: YX < YW < XW

HELP QUICK FREE BRAINLYEST FOR RIGHT ANSWER

what is 10*5-2+279-57/3*4=?

Answers

1234 ok ok ok ok hehe

Answer:

251 because yes and yes hope it helps

area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude​

Answers

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

Complete the equation so it has infinitely many solutions.

4x + 7 = 4(x + 3) –
i juss wanna give yall sum points yw
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Answers

Answer:

im not sure

Step-by-step explanation:

Answer:

Thx for the points the answer is also 5

Step-by-step explanation:

12x-20=n(3x-5) what does n equal​

Answers

The answer is 4 do you need a step by step explanation or no
the answer is 4 because 12x-20 =4(3x-5)

Guys help me please I need the solution. Find x and y

Answers

X would be 4 I believe

ramona has $21 that she can spend on food for her dog. dry dog food costs 7.50 per small bag

Answers

Answer:

Ramona can buy 2 bags.

Step-by-step explanation:

7.5 x 3 = 22.5. This is over her budget.

Therefore Ramona can buy 2 bags.

You didn't specify what the question was asking for, I'm guessing that this is it.

Kim, Mary and Erin made a total of 24 dozen cookies. Mary made twice as many cookes as Erin and Kim made 2 more dozen cookies than Erin. How many cookies did Erin make

Answers

Answer:

Erin made 5.5 dozen cookies.

Step-by-step explanation:

Total cookies made by Kim, Mary and Erin = 24 dozen cookies

Let Erin make cookies = x dozens

Mary made cookies = 2x dozens

Kim made cookies = x+2 dozens

Now, we need to find how many cookies did Erin made.

We can write:

[tex]x+2x+x+2=24[/tex]

Solving the equation we get:

[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]

So, Erin made cookies = x = 5.5 dozens

Mary made cookies = 2x =2(5.5) = 11 dozens

Kim made cookies = x+2 =5.5+2 = 7 dozens

Therefore, Erin made 5.5 dozen cookies.

the product of 2 and the difference of a number and 9

Answers

Answer: 2(x-9)

Step-by-step explanation:

What’s 65+56+4+-4
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Answers

Answer:

119

Step-by-step explanation:

Jazmin is making bags of candy for hollween. Each time she makes a bag she puts in 1/2 pound. If she has 5 pounds of candy how many times can she do this

Answers

Answer:

10

Step-by-step explanation:

WHATS 10/7 divided by 4

Answers

Answer:

10/28

Step-by-step explanation:

can you help me
3(x+2)=2(x+5)

Answers

Answer: x = 4

Step-by-step explanation:

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

3x + 6 = 2x + 10

x + 6 = 10

x = 4

the answer to your question is x=4

An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?

Answers

Answer:

[tex]150[/tex] potatoes

Step-by-step explanation:

Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!

snog used unitary method to find the answer.

ALITER:-

Given,

Potatoes peeled in 6 minutes = 18

Let, potatoes cooked in 50 minutes = k

Here, more the time passes, the more the assistant peels potatoes.

∴ It is a case of direct variation,

where,

x/y = k (constant)

So, 18/6 = k/50 (potatoes peeled/time)

⇒ k = 3 × 50 = 150 (answer).

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A. 205°
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C. 210°
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Answers

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Step-by-step explanation:

Given the following data, find the weight that represents the 54th percentile. Weights of Newborn Babies 7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Answers

Answer:

7.35

Step-by-step explanation:

Given the data:

7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Rearranged data :

5.5, 5.5, 6.1, 6.4, 6.5, 6.7, 6.9, 7.1, 7.6, 7.7, 7.7, 8.0, 8.1, 9.3, 9.4

The 54th percentile :

(54/100) * (n + 1) th term

n = sample size = 15

0.54 * (15 + 1)

0.54 * 16

8.64th term

(8th term + 9th term) / 2

(7.1 + 7.6) / 2

14.7 / 2

= 7.35

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE​

Answers

Answer:

y=x+2

Step-by-step explanation:

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-4=(1)(-6)+b

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2=b

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A triangle has two sides of length 4 and 13. What is the smallest possible whole-number length for the third side?

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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I hope this helps and have a great day!

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Answer:

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Step-by-step explanation:

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Answer:

A and B

Step-by-step explanation:

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Answer:

Step-by-step explanation:kytiyfkutfdc

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