Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. What is the probability that the aircraft is​ overloaded

Answers

Answer 1

Answer:

The probability that the aircraft  is  overload = 0.9999

Yes , The pilot has to be take strict action .

Step-by-step explanation:

P.S - The exact question is -

Given - Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. Assume that weight of men are normally distributed with a mean of 182.7 lb and a standard deviation of 39.6.

To find - What is the probability that the aircraft is​ overloaded ?

         Should the pilot take any action to correct for an overloaded aircraft ?

Proof -

Given that,

Mean, μ = 182.7

Standard Deviation, σ = 39.6

Now,

Let X be the Weight of the men

Now,

Probability that the aircraft is loaded be

P(X > 168 ) = P([tex]\frac{x - \mu}{\sigma} > \frac{168 - \mu}{\sigma}[/tex] )

                 = P( z > [tex]\frac{168 - 182.7}{39.6}[/tex] )

                 = P( z > -0.371)

                 = 1 - P ( z ≤ -0.371 )

                 = 1 - P( z > 0.371)

                 = 1 - 0.00010363

                 = 0.9999

⇒P(X > 168) = 0.9999

As the probability of weight overload = 0.9999

So, The pilot has to be take strict action .

Before Every Flight, The Pilot Must Verify That The Total Weight Of The Load Is Less Than The Maximum

Related Questions

Find the slope of the line that passes through the points (10, 9) and (2, 4).

Answers

Answer:

slope = 5/8

Step-by-step explanation:

use the slope formula to find the slope: [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

[tex]\frac{9-4}{10-2} = \frac{5}{8}[/tex]

Item 13
Write an explicit rule for the recursive rule.

$a_1=16,a_n=0.5a_{n-1}$

Answers

Answer:

Step-by-step explanation:

[tex]a_{1}=16[/tex]

[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]

Hii can someone help me with this 7th grade level math I just need these three I’ll give brainliest!

Answers

Answer:

11- x= -5 12 - p= -12 13- z= -13.2

Step-by-step explanation:

Help and pls explain

Answers

Answer:

6

Step-by-step explanation:

Stacia randomly chooses a number from 1 to 10. What is the probability she
chooses a number less than 4?

Answers

Answer:

The probability that she chooses a nuumber less than 4 is 30%

Step-by-step explanation:

60 is 5 times as great as K

Answers

Answer:

k = 12

Step-by-step explanation:

Answer:

12

Explaination:

12 times 5 is 60

g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not exposed to the carcinogen develops 13 tumors. Based on these data, computed (a) the relative risk, (b) the attributable risk, and (c) the odds ratio. Do these indicators suggest that there is a relationship between exposure and tumor risk

Answers

Answer:

a) The relative risk is 1.8[tex]\overline{846153}[/tex]

b) The attributable risk is [tex]0.69 \overline{047619}[/tex]

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8[tex]\overline{846153}[/tex]

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = [tex]0.69 \overline{047619}[/tex]

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

3
For h(x) = - 3(4)*, find h
(
2

Answers

Answer:

h(2) = -48

Step-by-step explanation:

Given that,

[tex]h(x)=-3(4)^x[/tex]

We need to find the value of h(2).

Put x = 2 in the given expression i.e.

[tex]h(2)=-3(4)^2\\\\=-3\times 16\\\\=-48[/tex]

So, the value of h(2) is -48.

IM DOING A TEST I NEED HELP LIKE NOW

The diameter of a wheel for a car is 18 inches. What distance does the car travel when the tire makes one complete turn? Use 3.14 for LaTeX: \piπ.

Answers

Answer:

The distance would be a little over four feet

Step-by-step explanation:

PLEASE HELP!!
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.

A.
The x-intercept is 2.

B.
The y-intercept is 3.

C.
The asymptote is y = -1.

D.
As x increases, f(x) approaches, but never reaches, -1.

E.
The range is all real numbers.

F.
f(x) is positive for all x-values less than 1.

G.
The domain is all real numbers.

Answers

Answer:

I need the grahp :)

Step-by-step explanation:

I can at least tell you one thing that all exponential functions have in common, is that G. The domain is all real numbers. I hope this helps :)

All the correct statement are,

B) The y-intercept is 3.

C) The asymptote is y = -1.

G) The domain is all real numbers.

Option B, C and G.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the exponential function f(x) are shown in figure.

Hence, We get;

The curve intersect the x axis at x = 1.

So, x-intercept is 1.

Hence, Statement A is false.

The curve intersect the y-axis at y= 3.

So, y intercept is 3.

Thus, Statement B is correct.

The curve tends toward infinity at y = -1.

So y = -1 asymptote of the function.

Thus, Statement C is correct.

The range of function is y > -1.

So range is not all real number.

Thus, statement D is incorrect.

The function is defined for x > -0.5. At x = 0.5 function tends toward infinity.

Thus, statement E is incorrect.

As we move from left to right on x-axis then function decreases.

So, The function shows decay.

Hence, The statement F is incorrect.

The value of function approaches -1 as value of x increase but does not cross -1 or touch the value y = -1.

So statement G is correct.

Thus, All the correct statement are,

B, C and G.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.

4. According to the graph above, which of
the following best represents the number of
calories from protein a person on a 2,200-
calorie diet should consume?
A. 450
B. 550
C. 625
D. 650

Answers

The answer to this is D!!!!

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

help pls this is due in ten minutes

Answers

Answer:

260

Step-by-step explanation:

I used a percentage calculator.

Answer:

900% of 260 is 2,340

Ste2,340p-by-step explanation:

Find the exact value of tan A in simplest radical form. ​

Answers

Answer:

I think the answer is  13 im not positive but i think it's 13

Step-by-step explanation:

i hope this helps you :)

Answer

12/5

for delta ofc



Which of the following expressions is equivalent to the following
expression?
11b + 8 - 9b +3

Answers

11b + 8 - 9b + 3 =

= 11b - 9b + 8 + 3 = 2b + 11

i don't get how to do this one

Answers

Its the second one............

what is the sum of 6 1/2 + 2 1/3

Answers

Answer:

8 5/6

common denominator

Answer:

8 5/6

Step-by-step explanation:

Write the 0.5% in two other forms (fraction and percent).

Answers

You can use 5/10 and 50% which is the same as 0.5%

What's the value of (5³)¹. I need a explanation.​

Answers

Answer:

125

Step-by-step explanation:

We can first multiply the exponent outside the parentheses by the exponent inside the parentheses.

3*1 = 3.

Now we can solve.

5³ = 125

And there is your answer. Hope this helps. Have a nice day.

need help asap!! please help !!!!!!!!!!!!!!!! PLEASEEEEE MATH

Answers

Answer:

11. CK = 66

12. QS = 72

13. CE = 11

14. LJ = 60

Step-by-step explanation:

Recall: the corresponding side lengths of similar triangles are proportional and the ratio of their side lengths are equal.

11. AB/KL = AC/KC

77/42 = 121/CK (Substitution)

Cross multiply

77*CK = 121*42

77*CK = 5082

CK = 5082/77

CK = 66

12. QR/BQ = QS/CQ

72/32 = (32 + CS)/32 (Substitution)

Cross multiply

32(32 + CS) = 72*32

1024 + 32*CS = 2304

32*CS = 2304 - 1024

32*CS = 1280

CS = 1280/32

CS = 40

QS = 32 + CS = 32 + 40 = 72

13. QS/CE = QR/CD

33/CE = 36/12

33/CE = 3

Cross multiply

3*CE = 33

Divide both sides by 3

CE = 33/3

CE = 11

14. LJ/LU = LK/LV

LJ/10 = 60/10

LJ/10 = 6

LJ = 6*10

LJ = 60

.
WHERE ALL MY FNAF FANS AT WHO IS YOUR FAVORITE OUT OF THEM ALL PICK ATLEAST 3

Answers

Answer:

My first fav is circus baby next is mangle/lolbit and then foxy. But if I had to choose one it would be circus baby

Answer:    Ennard, Funtime Freddy, and Nightmare. I would choose Ennard out of any of them-

The x-coordinates of the points (112,−3) and (112,3) are the same and their y-coordinates are opposites. What does this mean in terms of the positions of the points?

Answers

Answer:

They are reflected across the x-axis

Step-by-step explanation:

what is 8x2+5 please help

Answers

Step-by-step explanation:

I'm a bit confused do you mean 8x^2+5 or 8*2+5??

Nicole bought a pair of shoes for
$37.93. The sales tax was $2.84. How
much money did Nicole spend on the
pair of shoes before taxes?

Answers

Answer:

$35.09

Step-by-step explanation:

37.93- 2.84= 35.09

Answer: 35.09$

Step-by-step explanation:

subtract the taxes from the total i think

PLEASE HELP
If a bank pays you 1.5% compound interest each year for the money you deposit, how much will you have in the bank in 20 years if you deposit $500 in the bank today. Round your answer to the hundredths place.

Answers

Answer:

The amount is $8358.7 and the interest is $3858.7.

Step-by-step explanation:

pls help, due soon algebra

Answers

Answer:

(x, y ) --> (x - 1, y - 4)

Step-by-step explanation:

Since you subtract 1 from the x coordinate and subtract 4 from the y coordinate, the rule would be:

(x, y ) --> (x - 1, y - 4)

A game has a ten sided die. What is the probability of rolling a number less than 4 or a multiple of 3?

Answers

Answer:

6/10 or 3/5

Step-by-step explanation:

A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

Answers

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

The
area of a plane is given by
A= (10x-2) cm ². The area is not
greater or equal to 12cm². It is however
not less than 2cm. Find the smallest possible
area of this shape​

Answers

Mark me as brainliest and follow me

use this formula

what is 15% of 90? ..............​

Answers

Answer:

13.5

hope it helpeddddd

:P

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation: Just divide

Other Questions
PLEASE HELP DUE TODAY WILL MARK BRAINLIEST Help this is due tomorrow I will give brainliest Questions 1, 2, and 3. Help! help meee plisssssssssssssssssssssssssssss How did Galileo Galilei contribute to the Renaissance?He wrote plays and poems about everyday life.He made improvements to the field of science.He wrote books about natural laws and geography.He traded goods and explored different lands. The mass in grams of an Avogadro number of molecules is its:O formula massO molar massO inertial massO atomic mass Write a short narrative about your year as an 8th Grader. How should the decimal point in 6.8 be moved to determine the product of 6.8 and 100? ()) two places to the left 1)) three places to the right How were Greek gods unlike the gods of other religions andmore like humans? 4.What ocean lies completely in the Eastern Hemisphere?a. Atlantic b. Indian c. Pacific d. Artic 5(1+5)=624helppppppppppppppppppppp Determine the stopping location of the prize wheel. At this moment it is centered on the number 11. It is spinning at a rate of 124.40 rpm. It is slowing at a rate of 1.400 rad/s/s.Predict the time the wheel will remain spinning, the angular displacement it will go through, and then use this to predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose. What's the meaning of 6, 7, 3, 8, 6, 6, 2, 9, 7 Did the 19th Amendment have any impact of the United States economy? How? how do i solve 21.772 divided by 4 helpppp yallx^2 17x+72 Which figure is a radius of F?CEABCDFD 7. Which of the following is a feature of an authoritarian government?a. Rights are protected by a constitution.b. Citizens have very little influence over the government.c. Individual rights are emphasized.d. Ruled by one, not laws. 1. What do you see as the most critical role of an allied health professional? (Please choose the one that you think is most important and explain why. You cannot state that all roles are equally important.)2. In what types of work environments do allied health professionals work? (You need to list the physical places where allied health professionals work (hospitals, etc.), not the conditions under which they work.)3.Create a list of career opportunities within the field of allied health care. (Feel free to take these out of the live lesson presentation in which numerous jobs, in several categories, were addressed.)4. Summarize your personal experience in the allied health care area?(You need to explain the instances in which you needed to deal with an allied health professional. Examples: visit to a physical therapist for a shoulder injury, pharmacist for a prescription, x-ray after hurting your arm) Why did the United States enter World War I, and what effect did its entry have on the war? Think about: American sympathies . Geman actions before America entered the war . the state of the war before and after U.S. Involvement