A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 33 and 35 ounces? Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.

This means that [tex]\mu = 29, \sigma = 4[/tex]

What is the probability of filling a cup between 33 and 35 ounces?

This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.

X = 35

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 29}{4}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

X = 33

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33 - 29}{4}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.0413.

0.9332 - 0.0413 = 0.8919

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

Answer 2

Answer:

0.1598

Step-by-step explanation:


Related Questions

The price of a car has been reduced from $16,500 to $11,055. What is the percentage decrease of the price of the car?

Answers

Answer:

33%

Step-by-step explanation:

$16,500-$11,055= $5,445

$5,445÷$16,500= 0.33 which in percentage format is 33%

HOPE THIS HELPS! MARK BRAINLIEST PLEASE!!!!!

There is a decrease of $5445, meaning it decreased by 33%. I’m pretty sure this is right but I’m really sorry if it’s not

What are the first and third quartiles for the following data set?
12, 15, 18, 16, 14, 9, 12, 21
A 9 and 21
C 12 and 17
B 12 and 16
D 15 and 17

Answers

Answer:

A

Step-by-step explanation:

I guess that is it may be

A^2 + 2AB +B^2



habsbsjabdhjsbfhjbsdjh

Answers

(A+b)(a+b)
I dont understand the writing. I’m doing this math using factoring

Suppose (-13,2) is a point on the graph of y=f(x). What is a point that will be on the graph of y=9f(x)-5

Answers

9514 1404 393

Answer:

  (x, y') = (-13, 13)

Step-by-step explanation:

At the given value of x, f(x) = 2. Then 9f(x)-5 = 9(2) -5 = 13.

The point on the scaled, translated graph will be ...

  (x, y') = (-13, 13)

_____

The graph shows a function f(x) with a distinct feature (vertex) at (-13, 2). It also shows where that distinct feature moves to when the function is scaled and translated.

help

What is 5 added to 3 4?
6. 12​

Answers

Answer:

8.4

Step-by-step explanation:

jjdijendjndoendidnie

What is 50g as a percentage of one kg?​

Answers

Answer:

5 %

Step-by-step explanation:

1000 g = 1 kg

50 kg = 0.05 kg

0.05 = 5%

Therefore, 50 g as a percentage of 1kg is 5%.


Assume x and y are two odd numbers and x/y is an integer.
Which of the following statements are true?
I. x + y is odd
2. xy is odd.
3. x/y is odd
4. x-y is odd







Answers

Answer:

Let us check these out one at a time:

 

1. x + y is odd.  FALSE.  The sum of 2 odd numbers is even.

2. xy is odd.  TRUE.  The product of 2 odd numbers is odd.

3. x/y is odd.  TRUE.  The ratio of 2 odd numbers is odd, if the ratio is an integer.

4. x - y is odd.  FALSE.  The difference of 2 odd numbers is even.

 

Only statements 2 and 3 are TRUE, so that makes (C) the correct answer.

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer.

Answers

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.88}{2} = 0.06[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.06 = 0.94[/tex], so Z = 1.555.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that [tex]n = 300[/tex]

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 1.555\frac{300}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 300*1.555[/tex]

Dividing both sides by 15

[tex]\sqrt{n} = 20*1.555[/tex]

[tex](\sqrt{n})^2 = (20*1.555)^2[/tex]

[tex]n = 967.2[/tex]

Rounding up:

The administrator should sample 968 students.

A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events, 8 do both swimming and field events. If 15 students do field events only and 10 do both swimming and track events, how many students do a. Swimming only b. Track events only c. All three events? ​

Answers

Answer:

a. 9 students

b. 20 students

c. 4 students

9 students20 students4 students

Find the length of AB

Answers

Answer:

C. 44.98

Step-by-step explanation:

Hi there!

We are given the right triangle ABC, m<B=12°, and CB =44

We want to find the length of AB

We can use trigonometry to do it

Let's find the ratio in reference to angle B, as that angle is given.

In reference to angle B the opposite angle is AC, the adjacent side is CB, and the hypotenuse is AB

Now let's recall the 3 most commonly used functions:

[tex]sine=\frac{opposite}{hypoptenuse}[/tex]

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

[tex]tangent=\frac{opposite}{adjacent}[/tex]

Let's find the cosine of angle B, as it uses CB and AB, which are the given side and the side we need to find

In that case,

cos(12)=[tex]\frac{CB}{AB}[/tex]

cos(12)=[tex]\frac{44}{AB}[/tex]

Multiply both sides by AB

[tex]AB[/tex]*cos(12)=44

Divide both sides by cos(12)

AB=[tex]\frac{44}{cos(12)}[/tex]

Now plug [tex]\frac{44}{cos(12)}[/tex] into your calculator. Make sure your calculator is on degree mode

AB≈44.98

So the answer is C

Hope this helps!

3(6x+3)=63 How to do it​

Answers

answer: x=3
how to do it:
1. Distribute the 3 to the 6x+3. This will result in “18x+9”
2. Now you have 18x+9=63
3. Subtract 9 from both sides to isolate the variable.
4. Now you have 18x=54
5. Divide both sides by 18.
Now you have x=3. Hope this helps.

The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles. ​

Answers

Answer:

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A and B are the acute angles.

A+B =  90°

One acute angle is 45 less than twice the other acute angle.

A = 2B-45°

(2B-45°) + B = 90°

3B = 135°

B = 45°

A = 45°

so, sunny is 16 he is 132 pounds
the song my time lasts 3:33 and sunny is falling for an entire 3 minutes
the gravitational pull which is pulling sunny back down to the ground is about 10m/s²
we have the new height of the hospital, is 49312,674 meters, or 161.787 feet
upon theory, sunny died upon coming to contact with the ground if you fall head first from 100 feet you're bound to die
you can break just your legs from falling from atleast 16-18 feet so imagine that

??????

Answers

The answer would be 79 because the dog punched the alpaca

Find the fraction equivalent to 5/7 with: a) numerator 25 b) denominator 42​

Answers

Answer:

a) 25/35

b) 30/42

Step-by-step explanation:

a)

Variable x = denominator if numerator is 25

5/7 = 25/x

5 × x = 7 × 25

5x = 175

x = 35

b)

Variable y = numerator if denominator is 42

5/7 = y/42

5 × 42 = 7 × y

210 = 7y

30 = y

25/35

30/42

To get 25/35 multiply by 5

To get 30/42 multiply by 6

Assume a random variable representing the amount of time it takes for a customer service representative to pick up has a uniform distribution between 15 and 20 minutes. What is the probability that a randomly selected application from this distribution took less than 18 minutes

Answers

Answer:

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniform distribution between 15 and 20 minutes.

This means that [tex]a = 15, b = 20[/tex]

What is the probability that a randomly selected application from this distribution took less than 18 minutes?

[tex]P(X < 18) = \frac{18 - 15}{20 - 15} = 0.6[/tex]

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

Solve x/4 > 2 Question 10 options: x ≥ 8 x < –8 x > 8 x ≤ –8

Answers

Answer:

x > 8

Step-by-step explanation:

You can start y multiplying both sides by 4 to cancel out the division by 4:

x/4 > 2

*4      *4

x > 8

Answer:

x > 8

Step-by-step explanation:

x/4 > 2

=> x > 2 × 4

=> x > 8

-27
Which of the following is equivalent to
نان-۴
?
N
O
(197)
NI
12
22
(22)
2².2

Answers

Answer:

3rd option

Step-by-step explanation:

(1/2)^-2t

= (2^-1)^-2t

= 2^2t

= (2^2)^t

Answered by GAUTHMATH

Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?

Answers

Answer:

Destiny will be able to create 12 identical snack bags.

Step-by-step explanation:

Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.

Given that the supply and demand function for the product type is Qd = [tex]\sqrt{260-p}[/tex],
Qs = [tex]\sqrt{p-14}[/tex]. consumer surplus ??.

Answers

Secs jrjrjsjrjsrjjjjjrjjjrjrjjjjjrjj try t
U
Ojim okay omjjmmimp oil my kkui mom m
Ok oulo
Lmk
Onjominml I’m o mmm I’m

WILL GIVE BRAINLIEST
Complete the equation describing how
x and y are related.
х
-3
-2
-1
0
1
2
3
y
12
8
4
0
-4
-8
-12
y = [? ]x

Answers

Answer:

[tex]y=4x[/tex]

Answer:

y = -4x

hope that helped.........

Which number is divisible by 5? 99 45 83 94

Answers

Answer:

45

Step-by-step explanation:

because 5•9=45 so yeah that's the answer

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

Answers

Answer:

y= 1/2x-3/2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 1/2x+b

Using the point for x and y we can find b

-3 = 1/2(-3)+b

-3 = -3/2 +b

-6/2 = -3/2+b

Add 3/2 to each side

-6/2 +3/2 = b

-3/2 = b

y= 1/2x-3/2

Answer:

Step-by-step explanation:

y + 3 = 1/2(x + 3)

y + 3 = 1/2x + 3/2

y + 6/2 = 1/2x + 3/2

y = 1/2x - 3/2

I need help in math please, if you can

Answers

Answer:

Step-by-step explanation:

400*e^(.09*3)

$523.97

answer is b

Answer: Option B

$523.97

Explanation:

= 400×e^(0.09×3)

= $523.97

Must click thanks and mark brainliest

how many feet is 2 1/2 miles

Answers

Answer:

13200 ft

Step-by-step explanation:

1 mi = 5280 ft

5280 ft x 2.5 = 13200 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

There are 13200 ft in 2 1/2 miles

Step-by-step explanation:

To solve this, you have to know how many feet are in a mile.

Answer: 5280 ft

Rule: Multiply miles x 5280 to get the amount of feet.

Step 1. Multiply 2 x 5280

Answer: 10560

Step 2. Find half of 5280

5280/2 = 2640

Step 3. Add 10560 and 2640

Answer: 13200

There are 13200 ft in 2 1/2 miles
•••••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

solve for x : 2(x^2+9)-4=0

Answers

Answer:

no solution

Step-by-step explanation:

multiply 2 and get 2x^2+18-4=0

combine like terms

2x^2+14=0

subtract 14

2x^2=-14

there can't be a square root of a negative number so there's no solution

Answer:

x = ±i sqrt(7)

Step-by-step explanation:

2(x^2+9)-4=0

Add 4 to each side

2(x^2+9)-4+4=0+4

2(x^2+9)=4

Divide by 2

2(x^2+9)/2=4/2

(x^2+9)=2

Subtract 9 from each side

x^2 +9-9 = 2-9

x^2 = -7

Taking the square root of each side

sqrt(x^2) =sqrt(-7)

x = sqrt(-1 *7)

x = ±i sqrt(7)

A hexagonal pyramid is located ontop of a hexagonal prism. How many faces are there?
A. 15
B. 24
C. 6
D. 13

Answers

Answer:

15

Step-by-step explanation:

The figure has total 15 faces, the correct option is A.

What is a Hexagon?

A hexagon is a polygon with six sides.

A hexagonal pyramid has 8 faces

From (2 hexagonal base + 6 lateral surfaces)

A hexagonal prism has 7 faces

From ( A hexagonal base + 6 lateral faces)

Total faces the figure has is 8 +7 = 15

To know more about Hexagon

https://brainly.com/question/3295271

#SPJ5

You have 2 5 sided dice, what's the probability the addition of rolling both

Answers

Answer:

7

Step-by-step explanation:

The place value of 7 in 87534 is____________​

Answers

Place value of 7 is Thousand (1000)
the value place of 7 is thousand

write the greatest and smallest four digit number by using 7,8,0,9 digit​

Answers

0789 is the smallest
9870 is the largest

Determine which type of error is most likely to arise from the following situations. a 1. the time in which individuals are contacted to take a survey occurs during work hours f 2. the last part of a newspaper article asks readers to mail or email the newspaper their opinion about universal health coverage 3. subjects are asked to recall how often they snacked between meals in the past 30 days 4. a survey to assess teachers' opinions about Common Core uses a member list for the largest teachers' union as the sampling frame a. question wording b. undercoverage c. processing error d. bad sampling method e. response error f. nonresponse g. random sampling error

Answers

Answer:

Determination of type of error arising from the situations

Situation       Type of Error

1.                    Nonresponse

2.                   Bad sampling method

3.                   Question wording

4.                   Undercoverage

Step-by-step explanation:

Types of errors:

a. question wording means that the manner a question is worded elicits some particular responses, which may not accurately reflect reality.

b. undercoverage occurs when some elements of the target population is not represented on the survey frame.

c. processing error arises from data processing

d. bad sampling method is caused by the voluntariness of those who choose to respond.

e. response error is caused by a questionnaire that requires framing improvements, misinterpretation of questions by interviewers or respondents, and errors in respondents' statements.

f. nonresponse error arises as a result of incomplete information or partial response.

g. random sampling error arises from the limited sample size when compared with the population size.

Other Questions
Which of the following contains a variable?A. He scored a 95 on the test.B. The bug crawled 15 inches per second.C. The area is 56 square centimeters.D. Ana is 3 years older than Mark. A baseball pitcher throws a fastball by spinning his arm at 27.7m/s. The ball has a mass of 0.700kg and experiences a net centripetal force of 625N. How long is the pitchers arm (the radius of the curve)? After the BP Oil Spill, Ms. Culligan engages her students in a discussion about short-term and long-term environmental effects of the disaster. The class brainstorms and researches ideas for cleaning the oil, stopping the leak, and protecting wildlife. A real-world situation has provided the starting point for learning. The students are also engaged in finding answers to a real-world environmental issue. What learning strategy is Ms. Culligan using? Question 14 Multiple Choice Worth 2 points)(03.03 LC)Choose the correct sentence in negative form:O Je n'aime pas la glace.O Je ne aime pas la glace.O J'aime pas la glace.O J'aime la glace pas. Read these sentences from the excerpt:What he most dreaded, that I most desired. What he most loved, that I most hated. That which to him was a great evil, to be carefully shunned, was to me a great good, to be diligently sought; and the argument which he so warmly urged, against my learning to read, only served to inspire me with a desire and determination to learn.Which statement best explains why the author uses parallel structure to advance his purpose?a . to illustrate the need for the slaves and slave owners to come together to end slaveryb . to stress the author's belief that reading and writing are important skills for gaining freedom c . to show how the author disagrees with slave owners about the issue of slaveryd .to provide more details that support the claim that reading and writing are necessary for freedom who did the USA fight in the Spanish American War My husband and I have been married for four years. When we graduated from college we were able to find entry level positions in California, but things were difficult because it is very expensive to live in California. After two years of marriage we decided to move to Omaha, Nebraska, believing that we could earn California wages without paying California housing prices. We bought a 900 square-foot condo for $317,000. We love the place and it's in a great neighborhood, but we have to be honest with ourselves that we may have made a mistake. Buying the condo took our savings, and that meant we had to take out a student loan for my husband's graduate school. He works in education, and with a $42,000 salary, it infuriates us that his graduate schooling nearly costs us what he makes in a year. Although we carry no credit card debt and continue to drive our very old cars, it worries me that when it comes time to pay back student loans, we are going to still be very tight and only be paying near the minimum credit card payment. My husband's career goal is to work in school administration, which pays more that what a classroom teacher makes. But it could take several years for that to happen, and we will need to sit tight until then. I am grateful that we have, for the most part, lived within our means and have made an effort to save a small amount of money. But if either of us loses our job, we could be in the same boat a lot of people are in. I hope this economy turns around so I can stop losing sleep about it! Based on the above scenario, describe one problem the couple above is facing and one possible solution to the problem Which angles are adjacent to each other? Angle KGD and Angle AEB Angle BEC and Angle AEB Angle AEB and Angle ECU Angle JCI and Angle KGD The horse says. ' My mother and an old horse ......seemed to know all about it.' What was it that they knew about? How did they know? Select the correct answer from each drop-down menu? Your help would be very much appreciated I will mark you brainliest as well! :D Briefly explain what happens during Meosis 1. Given the similarity statementAJKL ANOP, what's thecorresponding side of ON ? when making a work cited entry, you should start with the ....of the work In general, how has the power of the federal and the state governments changed over the course of the countrys history? Jalil and Victoria are each asked to solve the equation ax c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work: ax c = bx + d ax bx = d + c x (a b) = d + c x = x equals StartFraction d plus c Over a minus b EndFraction. How can Victoria justify Step 3 of her work? Que es la salsa casino? (Por fis no lo pongan tan corto) Chemosynthesis _______. Question 11 options: uses energy derived from hydrocarbons and hydrogen sulfide in place of solar energy produces carbohydrates and sugars occurs around hydrothermal vents near the oceanic ridge system Both a and c are correct. All of the above are correct. if you read more we learn more if we learn more we become smarter write an essay on the importance of reading Corinne solved the equation below:5x = 955x 5 = 95 5x = 90Is Corinne's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.