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

Which of the following is the graph of y=sqrd-x-3?

Answers

>> Answer

___________

[tex] \: [/tex]

y = [tex]\sqrt{-x - 3}[/tex]

graph in picture!

In the diagram, lines BC and DE are parallel.
What is the measure of Zx?

Answers

180-42-109=29
Thats all
Make me the bairnlieat

Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent

Answers

Answer:

Nia answerd 45% of the questions correctly.

Write three expressions that are equivalent to 8x + 16.

Answers

Answer:

1. 2(4x + 8)

2. 8(x +2)

3. 4(2x +4)

Step-by-step explanation:

You can check by using the distributive property!

For instance:

2 (4x +8)

 2 · 4x = 8x

 2 · 8 = 16

= 8x + 16

8(x +2)

 8 · x = 8x

 8 · 2 =16

= 8x + 16

4(2x +4)

  4 · 2x = 8x

   4 · 4 =16

= 8x + 16

Hope this is helpful! Let me know if you have any more questions :D

Bài 1. Tính

a) 3x(2x – 5)

b) (x+1)(x + 4)

c) (7 – x)( x + 7)

d) ( + 2)2

e) (3 – 2x)2

f) (x – 2)(x2 + 2x + 4)

Bài 2. Phân tích các đa thức sau thành nhân tử:

a) 2−19

b) 2−2+ 2 - 100

c) xz + yz - 5(x + y)

d) 2+3++3

Bài 3. Tìm x biết:

a) 4x2 - 12x = 0

b) x2 – 5x = 0

c) x(2x – 7) + 4x – 14 = 0

Answers

F F F F F F F F F F F F F

Step-by-step explanation:F    f

A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total

Answers

A farmer has 15 boxes of eggs and there are 6 eggs in each box. Therefore it will be part to whole. The bigger number is always the whole. 6:15 is the ratio.

-79=7w+3(4w-1) all steps please and quick

Answers

step 1:
3(4w-1)= 12w-3

step 2:
7w+12w-3
=19w-3

step 3:
-79=19w-3 (so add 3 to -79)

step 4:
-76=19w (just divide by 19 to get w)

step 5:
-4=w

Solve for y 2 y = A 2Y + B + A B

Answers

Call me when you want, call me when you need

Call me in the morning, I'll be on the way

Call me when you want, call me when you need

Call me out by your name, I'll be on the way like

Three workers worked for 5 hours, 7 hours and 12 hours. The total wage of $
13200 was divided among the three workers according to the number of hours of
work they did. How much did each get?

Answers

Answer:

Worked 5 hours: $550

Worked 7 hours: $2,750

Worked 12 hours: $6,600

Step-by-step explanation:

5+7+12=24

13200/24 = 550

(5)*(550) = 2,750

(7)*(550) = 3,850

(12)*(550) = 6,600

A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?

Answers

i’m pretty sure it’s 6 because you just need to add them together

It will take 6 hours to finish the same project.

How to find the time taking to finish the project?

From the given information, we get

[tex](\frac{5}{6} * \frac{2}{3} ) * 4[/tex] = 6

The answer is 6 hours.

What is problem-solving?

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Learn more about Problem-solving here: brainly.com/question/23945932

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hi could someone explain this??

im thinking it is J=50(15)^t??? ​

Answers

Answer:

J=15t+50

Step-by-step explanation:

The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.

The equation becomes: J=15t+50

To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.

Checking t=0:

J=15(0)+50=0+50=50

Checking t=1:

J=15(1)+50=15+50=65

Checking t=2:

J=15(2)+50=30+50=80

The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.


Will mark as brainlist answer quickly



Which one of the following is the same as 72 dekaliters ?


A. 72 dal


B. 72 dI


C. 72 deciliters


D. 72 ml

Answers

Answer:

72 dal

Step-by-step explanation:

short form to dekaliter is dal

Based on the abbreviations for various units of measurements, the best answer here is A. 72 dal

Units of measurements have shorter forms such as:

Liters ⇒ LMilliliter ⇒ MLDekaliters ⇒ DAL

As the short form of dekaliter is dal, the first option must be correct as it is the same as 72 dekaliters albeit in a shortened form.

We can therefore conclude that 72 dal and 72 dekaliters are the same.

Find out more at https://brainly.com/question/15998529.

Find x Please Help Thank You

Answers

uhhhhhhhhhhhhhhhhh i have no clue so sorry

Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?

Answers

The circumference of circle B would be; 74.98 cm.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We have been given that Circle A has a circumference of 25 centimeters.

And Circle B's diameter is 3 times as long as circle A's diameter.

Thus, the Diameter of Circle B = 3 x the Diameter of Circle A

Since The circumference of the circle A = 2πr = 25

2πr = 25

r = 25/  2π

r = 3.98 cm

The Diameter of Circle A = 2 x 3.98 = 7.96 cm

Since Diameter of Circle B = 3 x the Diameter of Circle A

Diameter of Circle B = 3 x 7.96 cm

= 23.88 cm

Radius = 23.88 / 2

Hence, the circumference of circle B =  2πr

= 2 x 22/7 x 23.88 / 2

= 74.98 cm

Learn more about circumference here;

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Urgent Help Please!!!

Answers

Answer:

the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180

Identify the terms and like terms in the expression

t + 8 + 3t =

Answers

Answer:

jzjzhsjoqhzjs I I shxaoaas

Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,

Answers

Answer:

Isis 18 and her sister 26

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

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

check

23 + 18 = 44

the answer is good

Write an equation in slope intercept form that goes through the point (5,-7) and is PARALLEL to the line y=-3x+8

Answers

Answer:

there is no line parallel to y = -3x + 8 that goes through (5, -7). this point falls on this line

Step-by-step explanation:

[tex]y = - 3x + 8[/tex]

[tex] - 7 = - 3(5) + b \\ - 7 = - 15 + b \\ b = 8[/tex]

The answer is

[tex]y = - 3x + 8[/tex]

I need help with this question. Please & thank you!

Answers

B

dividing with the same numbers and different exponents is like subtracting the exponents

16-8 = 8

The answer is b because when they are used in a division problem they are subtracted

Hopfuly someone will help me this time!

Answers

Answer:

B

Step-by-step explanation:

Find the equation of the linear function represented by the table

y 6 9 12 15
x 1 2 3 4






Answers

9514 1404 393

Answer:

  y = 3x +3

Step-by-step explanation:

The slope of the line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the first two sets of table values, this is ...

  m = (9 -6)/(2 -1) = 3/1 = 3

You can find the point-slope equation using the form ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -6 = 3(x -1) . . . . . using the first point in the table

Solving for y gives ...

  y = 3x -3 +6 . . . eliminate parentheses, add 6

  y = 3x +3

1. The value of angle A is
50°. What is the value of
angle B?

Answers

Answer:

130º

Step-by-step explanation:

a line is 180º so if one angle is 50 then it's just 180-50

A water tank holds 1500 liters of water when it is full. If 2/3
of the tank is full, how

much more liters of water are needed to make the tank full?


fraction word problem

Answers

Answer: 500

Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

conversion of temperature

buying groceries

checking weight

measuring length


[tex]\frac { a } { ( a - b ) ( a - c ) } + \frac { b } { ( b - c ) ( b - a ) } + \frac { c } { ( c - a ) ( c - b ) }[/tex]
the formula is the question pleaseee helppp quickkk

Answers

Answer:

0

Step-by-step explanation:

[tex]\frac{a}{(a-b)(a-c)} +\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\\= \frac{a}{(a-b)(a-c)} -\frac{b}{(b-c)(a-b)}+\frac{c}{(a-c)(b-c)}\\\\= \frac{a(b-c)-b(a-c)+c(a-b)}{(a-b)(a-c)(b-c)}}\\\\= \frac{ab-ac-ab+bc+ac-bc}{(a-b)(a-c)(b-c)}}\\\\= \frac{0}{(a-b)(a-c)(b-c)}}\\\\= 0[/tex]

Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.


A. Mia walked 5 mi north and then walked 5 mi west.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

Answers

Answer:

C and D

Step-by-step explanation:

Additive inverse is when two numbers add up to zero.

A. Mia walked 5 mi north and then walked 5 mi west.

False. It would be true if the directions are opposite.

B. A scuba diver descends 40 m from sea level and then descends another 10 m.

False. It is - 40 - 10 = -50 m, not zero

C. Gabriella charges $300 on her credit card and then pays the $300 credit card bill.

True. - $300 + $300 = 0

D. A helium atom has 2 positively charged protons and 2 negatively charged electrons.

True. The atom has neutral charge as + 2 + (-2) = 0

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.

Answers

Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation:

will this help

1 * w^3
how do you multiply these

Answers

Answer:

it will be w^3

-8 + r > -8
please show work

Answers

Hey there! :-)

-8+r>-8

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Hey there!

-8 + r > -8

= r > -8 + 8

= r > 0.

Steps :-

Write the equation.Bring -8 to the other side of the equation. It becomes +8. Now, add 8 & -8. We'll get 0.So, the answer will be r > 0.

Hope it helps ya!

the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP

Answers

I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get

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