The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?

Answers

Answer 1

Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

Using the relation ::

Zscore =(X - μ) ÷ σ

The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

The Zscore :

Zscore = (3401 - 3078) ÷ (122.049)

Zscore = 2.65

Hence,

P(Z > 2.65) = 1 - P(Z < 2.65)

Using a normal distribution table :

P(Z > 2.65) = 1 - 0.9959

P(Z > 2.65) = 0.004

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Related Questions

A bus travels 324 km in 8 hours. How long will it take to travel 243 km ?​

Answers

Answer:

Six hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Use a ratio and cross multiply to solve for x

324       243

------  =  -------

 8            x

324x = (8)(243)

324x = 1944

x = 6

1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km

Answers

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers

Answers

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

James lives 4 miles from the town library. He lives 256 miles from the post office.

How much closer is James to the post office than to the library?

Enter your answer in the box as a mixed number in the simplest form. (Please Help!)

Answers

Answer:

1 1/6 miles

Step-by-step explanation:

i failed the test sooo haha here you go hopefully you dont fail:)

Using the unitary method we can conclude that James is 64 times closer to the post office than to the library.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that James lives 4 miles from the town library.

James lives 256 miles from the post office.

Therefore, we will divide the 256 by 4 to get the answer;

256/4 = 64

Thus, we can conclude that James is 64 times closer to the post office than to the library.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

Jonah found that it took him 10 minutes to do 5 math problems. If he uses this information, what should be his estimation on how long it will take him to do 32 math problems? ​

Answers

We can round 32 down to 30.

10 minutes for 5 math problems is the same as 2 minutes for 1 math problem. Therefore, we can estimate that it will take Jonah approximately 60 minutes to do 32 math problems.

Hope this helps!! :)

What is 449,650 rounded to the nearest ten thousand?

400,000
440,000
449,000
450,000

Answers

Answer:

450,000

Step-by-step explanation:

The ten thousand digit is 4 and if we compare it to 9, it is bigger then 5 therefore it is rounded up and you get the answer of 450,000

A landowner recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage.

a. Write two equivalent expressions that represent the new acreage.

Answers

Answer:

.88v or [tex]\frac{22}{50}[/tex]v

Step-by-step explanation:

Answer:

Step-by-step explanation:

Link is needed

A bottle has 1110 ounce of cough syrup. Each does is 35 of an ounce. How many does are in a bottle of cough syrup?

Answers

all you would have to do is divide 1110 by 35 to figure out how many doses are in the bottle of cough syrup and we get 31 So there are 31 doses

4.0plsss help, will give brianlist

Answers

Answer:

side HG would be proud of the side EF and parallelogram EFGH

Find the value of x
(Please please please help me I will give you brainliest!)

Answers

Answer:

55

Step-by-step explanation:

rectangular triangle

180-(35+90)=55

Answer:

55

Step-by-step explanation:

Suppose z varies directly with x and inversely with the square of y . If z=18 when x=6 and y=5 , what is z when x=11 and y=10?

Answers

Z is equal to 8.25 hope this helps you

How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?

Group of answer choices

g(x) is shifted 2 units to the right and reflected over the x-axis.

g(x) is shifted 2 units to the left and reflected over the x-axis.

g(x) is shifted 2 units to the right and 1 unit up.

g(x) is shifted 2 units to the right and 1 unit down.

Please HELP me

Answers

Answer:

g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

Please help Giving 15 points

Answers

Answer:

you said you're giving 15 points but its 8

Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.

Answers

Purchase a/c Dr. 700
To Mimi’s a/c. 300
To Ana’s a/c. 400

Vocabulary How does a percent relate to a proportion? Drag the words to complete the explanation Each word may be used once or not at all

Answers

Answer:

A percent is a constant of proportionality describing the part of the whole

Step-by-step explanation:

A bag of M&M’s has 7 red, 2 green, 3 blue, and 8 yellow M&M’s. What is the probability of randomly picking: (Round to 4 decimal places)

Answers

Answer:

Y = 40%

R or G = 25%

O = 0%

Step-by-step explanation:

Total M&M's = 7+2+3+8 = 20

PY = 8/20 = .4 or 40%

P(R or G) = (2+3)/20 = 5/20 = .25 = 25%

PO = 0/20 = 0%

The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.​

Answers

Answer:

Slope of PQ

m

r

=

y

Q

y

P

x

Q

x

P

=

1

5

1

(

2

)

=

4

Slope of QR

m

p

=

y

R

y

Q

x

R

x

Q

=

3

1

7

(

1

)

=

1

4

Slope of RP

m

q

=

y

R

y

P

x

R

x

P

=

3

5

7

5

=

1

Since slopes PQ & PR,

m

r

=

1

m

p

, it's a right triangle

What is the rate of change for 1

Answers

Step-by-step explanation:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. The rate of change is 401 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.

Does anybody know this???

Answers

Answer:

17

Step-by-step explanation:

Let x be the number of books and y the number of CDs,

[tex]x+y=25\\[/tex]

The prices of the products are multiplied with the quantity bought, therefore:

[tex]1.5x + 5y = 65.50[/tex]

Multiplying the first equation by -5, then multiplying the two equations:

[tex]-3.5x=-59.5\\x=17[/tex]

Evaluate the following. Enter the answer as a simplified fraction.
sin(-11pi/6)cos(4pi/3)

Answers

Answer:  -25/100 or -1/4

Sorry if its wrong, Happy To Help

Step-by-step explanation:


The farmer has 1 1/2 acres of

land for planting crops. She
plans to divide the acreage into
2 equal crops of corn and
wheat. How much acreage will
she use for planting each crop?

Answers

Answer:

3/4 acre

Step-by-step explanation:

1 1/1 = 3/2

3/2 ÷ 2 = 3/2 × 1/2 = 3/4

What is the sum of 6.7

Answers

Answer:

the number must be greater than 6.7 Therefore the sum is negative

6.7-7=-0.3

Answer:

the number must be greater than 6.7 Thus, the sum will be negative

for example the number could be 7

Step-by-step explanation:

6.7-7=-0.3

Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?

Answers

Answer: 2.03

Step-by-step explanation:

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Answer:

I'dont think it's 77 or not right

Given info:-

Evaluate:

[(1⅕ - 2/5).(-3/5)³]÷(-9)

⇛[6/5 - 2/5).(3³/5³)]÷(-9)

Take the LCM 5 & 5 is 5.

⇛[(6-2 /5). (3*3*3/5*5*5)]÷(-9)

⇛[(4/5).(27/125)]÷(-9)

⇛[4/5 × 27/125)]÷(-9)

⇛[(4*27)/(5*125)]÷(-9)

⇛[20/625] ÷ (-9)

⇛[20/625] ÷ 1/9

⇛20/625 × 9/1

⇛(20*9)/(625*1)

⇛180/625

Now, reduce the fraction by extracting and cancaling out with 5.

⇛36/125 or 0.228 Ans.

Hope this helps!

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Using weighted average, it is found that she should score 67% on the computer science test.

The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

Proportion of 32% = 0.32 for a score of 300.Proportion of x for a score of 200.Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677

In what base does 126 + 26b = 410?
The base, b, is ___ (Type a whole number.)

Answers

Answer:

11

Step-by-step explanation:

I subtracted 126 from 410 and got 284 then I divided 16 from 284 and got 11

Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph triangle ABC and its reflection across the line x=-2?
2. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the x-axis?
3. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the y-axis?
4. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the line y=x?

Answers

If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).

1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

Find out more on transformation at: https://brainly.com/question/1620969

A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal
sections: 2 premium sections and 10 standard sections. A seat at the premium section
costs $48 per game. A seat at the standard section costs $27 per game.
1. How many seats are there in each section?
2.
If there are 35 seats in each row, how many rows are in each section?
3.
If all the seats in the premium section are sold out for a game, how much will the
stadium get from those ticket sales?

Answers

Answer:

omg so many Q's

Step-by-step explanation:

Whats the answer? ( Branliest )

Answers

Answer:

4

Step-by-step explanation:

4-0.25g +0.5h

We have,

g=10

h=5

Putting the values,

4-0.25g +0.5h= 4-0.25*10+0.5*5 =4 -2.5 +2.5 = 4

Answer:

4

Step-by-step explanation:

[tex]4 - 0.25g + 0.5h \\ 4 - 0.25(10) + 0.5(5) \\ 4 - 2.5 + 2.5 \\ 4 \\ [/tex]

EMERGENCY!!! WILL GIVE THE BRAINLIEST TO THE FIRST ONE RIGHT + 30 PTS!!!

Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona

Answers

The state that was located in the Southwest Native American cultural region is Arizona.

The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.

On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.

Learn more in https://brainly.com/question/6326323

Answer:

Arizona

Step-by-step explanation:

got it right on the test :)

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