The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.

Answers

Answer 1

Answer:

1 = 100% probability that a person will wait for more than 33 minutes.

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.

The mean waiting time is 55 minutes and the variance of the waiting time is 11.

This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]

Find the probability that a person will wait for more than 33 minutes.

This is 1 subtracted by the p-value of Z when X = 33. So

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

[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]

[tex]Z = -6.63[/tex]

[tex]Z = -6.63[/tex] has a p-value of 0.

1 - 0 = 1

1 = 100% probability that a person will wait for more than 33 minutes.


Related Questions

Wat is the average between 1,000, 2300,1000,2600

Answers

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2

which expression is equivalent to 6 (3x + 4)?
A) 9x + 4
B) 18x + 4
C) 18x + 24
D) 9x + 10

Answers

Answer:

c number is the ans

Step-by-step explanation:

multiply each term with 6

what is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7

Answers

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1

WILL GIVE U BRAINLIEST
Are these triangles congruent? How do you know?
A. Not sure not enough info
B. Yes, by HL
C. Yes, by ASA
D: yes, by AAS

Answers

Answer:

C

Step-by-step explanation:

2 angles and a shared side.

shared side is between the two angles

I still need help! Please! Help me

Answers

Part A = 60

Part B is C

1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza

Answers

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold.

What was the customer’s total cost for the DVD?

Answers

Answer:

$19.26

Step-by-step explanation:

12 × .5 = 6

6 + 12 = 18

18 × 0.07 = 1.26

1.26 + 18 = 19.26

19.26
Explaination:
Math and I took the test

y is inversely proportional to (x+2)² when x=1, y=2
find y in term of x
please help asap!!​

Answers

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

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

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

Il
11
1-42
Find the absolute value for |-43|
-1
0
43
-43

Answers

An absolute value is always a positive value

The absolute value for |-43| would be 43

What is the slope of y=1/2x

Answers

Answer:

1/2

Step-by-step explanation:

If you know slope-intercept form, it is y = mx + b, and the value of m is the slope, so the slope = 1/2

Answer:

I'm not sure if you typed your question correct, But the slope is 1/2

Step-by-step explanation:

dababy less goo

HELPP!!! I need help ASAP

Answers

Answer:

the right answer is C

Step-by-step explanation:

___________

Find the circumference of a
circle with diameter, d = 10.8cm.
Give your answer rounded to 3
SF.

Answers

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

[tex]2\pi \: r[/tex]

[tex] = (2)(\pi)(5.4)[/tex]

=33.93

C=3.14(10.8)
C=33.912
rounded 33.9
This is my first time doing this if it’s wrong literally Pretend this wasn’t even here

O capital de R$ 12.000,00 foi aplicado a juros compostos à taxa de 60% ao ano durante 2 anos. Determine o montante? *

Answers

?Answer:

Step-by-step explanation:

35-4-2-13
O C5 (
42) 13
o
D(
64) -2-13

Answers

Hmmm it’s D I think?
Hm I think it’s D to

h(-4), h(0), h(4), h(8)

h(x)= {-(x+1)^2 + 7, x<2
{ -1/3x, x>4

h(-4)=
h(0)=
h(4)=
h(8)=


PLEASE HELP

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...

  h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2

  h(0) = 6

  h(4) = undefined

  h(8) = -8/3

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). These data are also available for download at the online study center.

X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1
Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0

X 15.4 16.2 15.0 17.2 16.0 17.0 14.4
Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3

Required:
a. Draw a scatter diagram displaying the data.
b. Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.
c. Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.

Answers

Answer:

a) attached below

b) X - bar = 16.65

Y - bar =  80.04

y = 25.26 + 3.29 ( X )

c) attached in diagram below

Step-by-step explanation:

n = 15

∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2  + 16.0 + 17.0 + 14.4  = 249.8

∑ y =  88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3  = 1200.6

∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )

 = 20127.47

∑x^2 =  20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2  + 16.0^2 + 17.0^2 + 14.4^2

   = 4200.56

∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2  + 76.3^2

   = 96725.86

a) Scatter diagram showing given data

Attached below

B)

X - bar = ∑x / n  = 249.8 / 15 = 16.65

Y - bar = ∑y / n  = 1200.6 / 15 = 80.04

where: Y = Temperature and X = Chirps per seconds

b = [ n ∑ xy  - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]

   = [ 15 * 20127.47 - ( 249.8  * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]

   = 2002.17 / 608.36  = 3.29

a = Y-bar - b( X-bar )

  = 80.04 - 3.29( 16.65) = 25.26

equation for least squares line

y = 25.26 + 3.29 ( X )

C) Graph the least squares line on scattered diagram

attached below              

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90

Answers

Answer:

Step-by-step explanation:

The dimensions of a rectanglar sheet of metal are 9.96m by 5.08m
Find
The perimeter of the metal, correct to 1 significant figure

Answers

Answer :

• Length of the metal sheet = 9.96 m

• Breadth of the metal sheet = 5.08 m

As we know that,

★ Perimeter of rectangle = 2(length + breadth)

→ Perimeter of sheet = 2(9.96 + 5.08) m

→ Perimeter of sheet = 2(15.04) m

Perimeter of sheet = 30.08 m

Therefore, perimeter of the rectangular sheet is 30.08 m.

5th grade work helpp

Answers

Answer:

C: 31

Step-by-step explanation:

15 x 15 = 225

16 x 16 = 256

256 - 225 = 31

Answer:

C) 31

Step-by-step explanation:

15 x 15 = 225

16 x 16 = 256

256 - 225 = 31

What is the solution of log; (3x+2) = log: (4x-6)?

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Cancel the log from both sides and you'll get:

[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]

23+15=7
29+21=8
12+15=6
74+12=? ​

Answers

The total of 74+12 is equal to 86

Step-by-step explanation:

here are all the anwsers

13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.​

Answers

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

Expand:

45= W² +4W

-45 on both sides:

W² +4W -45= 0

Factorise:

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

Hello I need this quickly pls

Answers

Answer:

Area = x² + 10x + 21

Step-by-step explanation:

Area = L * W

Length = (x + 7)

Width = (x + 3)

=> Area = (x + 7) * (x + 3)

=> Area = x² + 3x + 7x + 21

Combining like terms would result in;

=> Area = x² + 10x + 21

Hope this helps!

the answer is 60 haha

Please help just put answer

Answers

Answer
............
Ssszxsxxzjdnndnd dj shh dbd

The answer is: 15 ft

Help me please will be appreciated thx

Answers

Answer:

-6 +8d -2c

Step-by-step explanation:

[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]

Out of 400 people sampled, 56 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places
___ < p < ___

Answers

Answer:

because having 90% means big

Which set of equations shows a way to find 771 - 468?

Answers

Answer:

The one that has 303 as the answer is the correct one

SOMEONE PLEASE HELP ME ANSWER ALL THESE IM IN SUMMER SCHOOL NO LINKS OR FILES I WOULD DEEPLY APPRECIATE IT<33

Answers

I’m not sure if these are right:
1) 3:4
2)4:5
3)7:5
4)1:1
5)8:9

The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator.The habitable part of Earth's surface has been estimated to cover 60 trillion square meters. Estimate the percent of this area occupied by humans if Earth's current population stood packed together as people do in a crowded elevator. HINT

Answers

Answer:

yay

Step-by-step explanation:

1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10​

Answers

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Other Questions
Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!! Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6 When x=8, the value of x27 Te baas en la maana o en la noche? *Se baa en la maana.Me bao en la noche.Te baas en la noche. que sucedio en inglaterra con la monarquia en el siglo xvii? Select the source in which you would most likely find the following information.Not as the conqueror comes,They, the true-hearted came;Not with the roll of stirring drums,And the trumpet that sings of fame;newspapertextbookshort storymagazine articlehistorydrama (play)nursery rhymenovelpoem .What is Javier going to have for main course? Odio las verduras, pero me encantanlos huevos. Tambin me gustala carne, pero no me gustan lospimientos ni los filetes. Me gustamucho el chocolate. Tengo sed, perono quiero caf ni agua, prefiero tEnter your answer why was king richard a good king for enlgand? How does natural selections take care of negative point mutations arrange these in order of size from the smallest: stomach, mitochondrion, starch grain, tacheal cell, nucleus for positive acute angles A and B, it is known that cos A=9/41 and tan B=21/20. Find the value of sin(A+B) in simplest form. while camping with her family, morgan took her puppy to the river. the river has a current of 27 feet per minute. The puppy paddled upstream at a rate of 44 feet per minute (in still water) for 8 minutes. How many feet did the puppy swim? Demand is the willingness and ability toa.) buy a given good or service.b.) offer a given good or service.c.) increase the price of a given good or service.d.) decrease the price of a given good or service. Which prism has a volume of 5 cubic units? Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell? Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving? Match each of the following terms with its definition. 1. Mitosisa) The dense, active protoplasm found in the center of the cell 2. Nucleusb) The watery fluid that surrounds the nucleus of the cell and is needed for growth, reproduction, and self-repair 3. Cytoplasm c) The process of cell reproduction of human tissues that occurs when the cell divides into two identical cells 4. Cell membrane d) The part of the cell that encloses the protoplasm and permits soluble substances to enter and leave the cell Please help with this homework TASK:1 READ AND UNDERSSTAND EACH ITEM.WRITE THE LETTER OF THE CORRECT ANSWER........................... PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too. Use the histogram to answer the following questions.How many dogs weigh at least 100 pounds?How many dogs weigh exactly 70 pounds?How many dogs weigh at least 120 and less than 160 pounds?How much does the heaviest dog at the show weigh?What would you consider a typical weight for a dog at this dog show? Explain your reasoning.Discuss with a partner:If you used the dot plot to answer the same five questions you just answered, how would your answers be different?How are the histogram and the dot plot alike? How are they different?