The amount of juice in a container is

normally distributed with a mean of

70 ounces and a standard deviation of

0.5 ounce. What is the probability that a

randomly selected container has more

than 70.5 ounces of juice?

Answers

Answer 1

Answer:

0.15866

Step-by-step explanation:

To solve for the above question, we use z score formula

z = (x - μ) / σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

x is the raw score = 70.5

μ is the population mean = 70

σ is the population standard deviation = 0.5

z = 70.5 - 70/ 0.5

z= 0.5/0.5

z = 1

We used the z score table to find the probability of z = 1

P( x = z) = P(x = 70.5)

= P( z = 1) = 0.84134

Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as

P(x>70.5) = 1 - P(x =70.5)

P(x>70.5) = 1 - 0.84134 = 0.15866

Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.


Related Questions

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answers

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

Answer:

280 tons of wood

Step-by-step explanation:

Khan

Can you help me please?

Answers

Answer: Repeating decimals

Fractions

Terminating decimals.

Step-by-step explanation:

A rational number is a number that can be expressed as [tex]\dfrac{p}{q}[/tex] , where 'p' and 'q' are two integers and 'q' is not equal to 0.The set of rational number includes integers (...-1,0,1....), terminating decimals, and repeating decimals and fractions.

But imaginary numbers comes in the set of irrational number as it cannot be expressed as fractions.

Hence, the correct choices are :

Repeating decimals

Fractions

Terminating decimals.

The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]

Answers

Answer:

5/8

Step-by-step explanation:

(10 +/- √100-104)/4

(10 +/- 2i)/4

5/4 +/- 1/2i

5/4 * 1/2 = 5/8

A 12 section game wheel has a 25% probability that the pointer will land on green. What is the likelihood that the pointer will land on green

Answers

Answer:

I’m not entirely sure what the question is asking but...

The spinner has a 1/4 chance of landing on green

with this, being a 12 section game wheel, it means that 3 of the sections are green.

what's 700.00divided by 120​

Answers

The answer is 3.5 because 120 can go into 700 three 1/2 times

Answer:

[tex]\Large \boxed{\frac{35}{6} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{700}{120}[/tex]

Reduce and simplify the fraction to lowest terms.

[tex]\displaystyle \frac{20(35)}{20(6)}[/tex]

[tex]\displaystyle \frac{35}{6}[/tex]

PLEASE HELP:

On a number​ line, suppose point E has a coordinate of 5​, and EG=4. What are the possible coordinates of point​ G?

The possible coordinates for G are ___
(Type integers or decimals. Use a comma to separate answers as​ needed.)

Answers

Answer:

G = 1, 9.

Step-by-step explanation:

There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.

I NEED HELP PLEASE FIRST PERSON TO GET ANSWER RIGHT GETS 5 STARS !

Answers

Answer:9/5

Step-by-step explanation:

Which of the following sets represents a function? {(1, 2), (3, 2), (5, 7)} {(3, 5), (-1, 7), (3, 9)} {(1, 2), (1, 4), (1, 6)}

Answers

Answer:

{(1, 2), (3, 2), (5, 7)}

Step-by-step explanation:

A function has a one to one correspondence

Each x can go to only 1 y value

{(1, 2), (3, 2), (5, 7)} function

{(3, 5), (-1, 7), (3, 9)} 3 goes to more than 1 y value

{(1, 2), (1, 4), (1, 6)} 1 goes to more than 1 y value

Answer:

[tex]\huge \boxed{ \{(1, 2), (3, 2), (5, 7)\} }[/tex]

Step-by-step explanation:

[tex]\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.[/tex]

[tex]\{(1, 2), (3, 2), (5, 7)\} \ \sf represents \ a \ function.[/tex]

[tex]\{(3, 5), (-1, 7), (3, 9)\} \ \sf does \ not \ represent \ a \ function.[/tex]

[tex]\{(1, 2), (1, 4), (1, 6)\} \ \sf does \ not \ represent \ a \ function.[/tex]

Express 3a2b-1 with positive exponents.

Answers

Answer:

a = 2b/3−1/3

Step-by-step explanation:

...........

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

15.6 ft²

Step-by-step explanation:

Given:

Radius (r) of circle = 5.7 ft

m<CBD = 55°

Required: Area of the shaded sector

SOLUTION:

Area of shaded sector = θ/360*πr²

Where,

θ = 55°

π = 3.14

r = 5.7 ft

Plug in your values

[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]

[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]

[tex] Area = 15.59 [/tex]

Area of shaded sector to nearest tenth = 15.6 ft²

Answer:

unij.,hsakj hdku ugkzsssssssjbfskjgfbskufjbghjbgfhjbghbfkjhbfsdf  mdftedtmtedemedeedttfgtubjcufttttttttgxdcgfvcdhfvvvvvdyuyuyuyfyfyfftftftftftyytftfftftffttyfjvhghfhgfghfgfghfhgfghfhgfghfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfhf

Step-by-step explanation:

u suck balls

Arnold made the following grades on his quizzes and assignments: 80, 92, 88, 90, 75, 38, 92, 95 2. Arnold wants to present his scores as advantageously as possible. Should he use the mean or the median of this data set? What other strategies could he employ to yield a more favorable measure of center?

Answers

Answer:

Step-by-step explanation:

If he were to find the mean then he would need to add all the numbers up and divide by the number of numbers. The answer of this would 69.1

If you find the median you would need to put the numbers in order,

2, 38, 75, 80, 88, 90, 92, 92, 95, then find the middle which would be 88.

So the better option would be finding the median. I think that this would be the best way to get the the most favorable measure of center.

I hope this helps.

PLEASE HELP!!! What is factoring? Why is it useful to try to factor out the GCF first when factoring? Explain the relationship between factoring and multiplying polynomials. Give an example to help explain. Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6 . What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function. Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

Answers

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

The sum of the cubes of 3 numbers which are in the ratio 1:2:3 is 7776. Find the numbers

Answers

the numbers - [tex]x,2x,3x[/tex]

[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]

6,12,18

Please help, 50 points! :)
PDF attached below

Answers

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )

please this is urgent​

Answers

Answer:

i can only do the question no 1, 5 ,6, 7

hope it'll help you and my answers are correct

:)

Determine the intercepts of the line.
y - 4= 7(x – 6)
x-intercept:
y-intercept:

Answers

X-intercept: (38/7,0)
Y-intercept; (0,-38)

i hope this helppppsss

Annie left her house at 10:00AM walking at 2 mph. In exactly 1 hour, Davis left the same house and headed the same route in the same direction with his dog. The dog was constantly running between Davis and Annie until Davis caught up with Annie. Davis was walking at 3 mph and the dog was running at 6 mph. How many miles did the dog run by the time Davis caught up with Annie?

Answers

Answer:

the dog was running 3mph faster than david

Elena I drink 3 Liters water yesterday do you drink 3/4 Times as much water as a Lena Raine drink twice as much water as Jada Jada drink more little or less water than a Lena explain how you know

Answers

Answer:

less water

Step-by-step explanation:

Elena has drank 3 liters

and you drank 3/4 times so multiply it

3/4*3/4=9/16

3 is more than 9/16

Answer:

lesser water

Step-by-step explanation:

3 is 3 wholes.

9/16 is less than 1...

please help me as soon as you can please​

Answers

Answer:

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

f(x) = a b^x

Let x = 0

5 = a * b^0

5 = a*1

a = 5

Let x = 1

8 = 5 * b^1

Divide each side by 5

8/5 = b

f(x) = 5 * ( 8/5) ^x

3x is a ____ of 3x^2 - 6x^3.

Answers

Answer:

[tex]\boxed{factor}[/tex]

Step-by-step explanation:

Hey there!

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

Hope this helps :)

Jasmine is having friends over to watch a football game. She has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?

Answers

Answer:

1 Hour and 30 Minutes

OR

1 1/2 Hours

Step-by-step explanation:

Convert 2 1/2 hours to minutes.

That is 150

Multiply 2/5 with 150.

Subtract that from 150.

It gives 120 minutes.

Convert that back to Hours.

You get 1 Hour and 30 Minutes or 1 1/2 Hours.

A fraction is a way to describe a part of a whole. The time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

What is a Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that Jasmine has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. Therefore, the time spent on preparing snacks is,

Time spent on preparing for snacks = 2 1/2 - 2/5

                                                            = 5/2 - 2/5

                                                            = 2.5 - 0.4

                                                            = 2.1 hours

                                                            = 2 1/10

Hence, the time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

Two Fair six-sided dice are rolled and the face values are added. What is the probability of obtaining an even number less than 7?

Answers

Answer:

The probability is 1/4

Step-by-step explanation:

In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.

Now, mathematically the probability will be;

number of even numbers less than 7/total number of outcomes

Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.

Please check attachment for this.

Now from the constructed table, we can find the number of even numbers less than 7.

By counting, we can see that the we have 9 even numbers which are less than 7

Thus, the probability of selecting an even number which is less than 7 is;

9/36 = 1/4

what is the average of x, 2x and 6​

Answers

Answer:

Hope it will help you :)

Step-by-step explanation:

1/3(12-6x)=4-2x I need help pls

Answers

Answer:

no solution

Step-by-step explanation:

1/3(12-6x)=4-2x

4-1.3x=4-2x

4=4-0.7x

0=0.7x

ns

Find the slope of the line through each pair


A.) (8, -7) and (5, -3). B.) (-5, 9) and (5, 11).
C.). (-8, -4) and (-4, -9).

Show your work.

Answers

Answer:A) -4/3 B) 1/2 C) -5/4

Step-by-step explanation:

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

For A) let (x1, y1) = (8, -7), (x2, y2) = (5, -3)

Slope = (-3 -(-7)) / (5 - 8) = 4/-3

For B) let (x1, y1) = (-5, 9), (x2, y2) = (5, 11)

Slope = (11 - 9) / (5 - (-5)) = 2/10 = 1/2

For C) let (x1, y1) = (-8, -4), (x2, y2) = (-4, -9)

Slope = (-9 -(-4)) / (-4 - (-8)) = -5/4

what do you think would happen to a person if mortor neuron from the grey matter of spinal cord is removed?​

Answers

Step-by-step explanation:

Introduction

Until World War II, a serious spinal cord injury (SCI) usually meant certain death. Anyone who survived such injury relied on a wheelchair for mobility in a world with few accommodations and faced an ongoing struggle to survive secondary complications such as breathing problems, blood clots, kidney failure, and pressure sores. By the middle of the twentieth century, new antibiotics and novel approaches to preventing and treating bed sores and urinary tract infections revolutionized care after spinal cord injury. This greatly expanded life expectancy and required new strategies to maintain the health of people living with chronic paralysis. New standards of care for treating spinal cord injuries were established: reposition the spine, fix the bones in place to prevent further damage, and rehabilitate disabilities with exercise.

Today, improved emergency care for people with spinal cord injuries, antibiotics to treat infections, and aggressive rehabilitation can minimize damage to the nervous system and restore function to varying degrees. Advances in research are giving doctors and people living with SCI hope that spinal cord injuries will eventually be repairable. With new surgical techniques and developments in spinal nerve regeneration, cell replacement, neuroprotection, and neurorehabilitation, the future for spinal cord injury survivors looks brighter than ever.

Find the length of AC
А
12°
C
B
44

Answers

Answer:

9.35

Step-by-step explanation:

Using basic trigonometric ratios,

tan X° = opposite/adjacent

but,X° = 12°

opposite = AC.

adjacent = 44

tan X° = AC/44

AC = tan(12°) × 44

AC = 9.35

PLEASE FOR THE LOVE OF FOOD ANSWER MY QUESTION!

Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 7x + 16, RS = 5x +28, and QR = 67 which of the following statements are correct? More than one answer may be correct.

Answers

Answer:

PQ = 58

Perimeter = 250

Opposite sides are congruent

Step-by-step explanation:

PQ = 58:

Because PQRS is a parallelogram, PQ equals RS.

1. Set up the equation and solve

7x + 16 = 5x + 28

2x = 12

x = 6

2. Plug in x into PQ

7(6) + 16 = 58

Perimeter = 250:

PQ = RS and QR = SP

1. Add the sides

58 + 58 + 67 + 67 = 250

Opposite sides are congruent:

definition of a parallelogram

Find the marked angle P​

Answers

Answer:

the answer is (d) 57°

Step-by-step explanation:

since it's a straight angle it equals to 180°

you divide 180° from 123°

Find the measure Of PR

Answers

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

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Please help. Ill mark you as brainliest if correct! Complete the Magic Square. A company has revenues of $1,250,000 with a net profit margin of 10%. If the depreciation for the year is $75,000, short-term investments decreased by $15,000, accounts receivable increased by $10,000, inventory decreased by $5,000 and accounts payable decreased by $6,000, what is the net cash provided by operations. PLS HELP:Find the side length, C.Round to the nearest tenth. It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it. ASAP Two points ___________ create a line. A. sometimes B. always C. never D. not enough information Find the values of x which satisfy the following inequation:x3 x Assume that random guesses are made for multiple-choice questions on a test with choices for each question, so that there are n trials, each with probability of success (correct) given by p. Find the probability of no correct answers What is kinetic energy? Please answer, it's really urgent A boy performs an experiment to measure the speed of sound. He stands 100 meters away form a large wall and claps his hands to make an echo. He claps again as soon as he was the echo, He does this ten times, each time clapping an soon as he hears the echo. The time between the first clap and the tenth echo a recorded. Why it better to time ten echoes together rather than just one echo? In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study. Carry answer to the nearest ten-thousandths. (Bonus Question) a. What is the probability that the sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178? b. What is the probability that the sample proportion (the proportion living in the dormitories) is greater than 0.025? The _____focuses on bringing different talents and perspectives together to make the best organizational decisions and to produce innovative, competitive products and services.. plsss help meeeeeee!!!! Jakes club has 35 members. it's rules require that 60% of them must be present for any vote. at least how many members must be present to have a vote? Evaluate the following expression.10^7 + 9 + 1^3 = Controlling how questions are asked is governed under A. rules of evidence. B. judicial administration. C. rules of legal conduct. D. jury litigation. Consider a system in which low levels of protein "Q" triggers production of hormone A. The reaction of target cells of hormone A is to produce and release hormone B, which stimulates production of hormone C. In response to hormone C, the target cells up-regulate protein Q. In this scenario we see an example of _____. f(x) = x^2. What is g(x)? commercial farming has raised the living standard of farmer? explain The Administrator may impose disciplinary action against a registrant when the registrant has:__________. a) violated the provisions of federal securities law b) engaged in unethical practices, even if no law was broken c) failed to properly supervise an employee who committed prohibited practices as defined by the act failed to lend money to a very good client Mr. Bauer is 49 years old, but eighteen months ago he was declared disabled by the Social Security Administration and has been receiving disability payments. He is wondering whether he can obtain coverage under Medicare. What should you tell him?