Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)

Answers

Answer 1

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

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

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.


Related Questions

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

What is 730 divided by 30

Answers

Answer:

24 1/3

Step-by-step explanation:

long division

Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.

Answers

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

S 4xy
when x = 2, y = 5

Answers

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

solve 3e = -27 show work
this one i dont understand how to do​

Answers

Answer:

-9

Step-by-step explanation:

This would be -27/3 = -9

Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?​

Answers

Answer:

$60

Step-by-step explanation:

3 tenths of 100 is 30

1 * 10 is 10

100 - 30 + 10

= 100 - 40

= $60

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

1. Evaluate the expression when b = 24.3
10 + b

HELP!!! I have no clue!!! Please help

Answers

evaluated expression is 34.3

A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?

Answers

Add both distances together:

50 + 22 = 72 feet total distance.

Plz help! I don’t know how to do these!

Answers

Step-by-step explanation: x = 120 x= 65x= 24

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME

Answers

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

classify the number -4_6/7 in as many ways as you can

Answers

-34/7 is the exact form -4.857142 repeating

A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?

Answers

Answer:

Carbon

Step-by-step explanation:

When the power of 10 is negative, the less the exponent the bigger the number

Answer:

Step-by-step explanation:

the larger number is 1.995x10^-23

What number is missing from this factor tree for the prime factorization of 328?

A. 39
B. 41
C. 42
D. 82

Answers

answer B. 41

328
/ \
2 164
/ \
2 82
/ \
2 41

Answer: Your Answer Is A) 41

Step-by-step explanation:

             328

              ^

          2 x 164

              ^

          2 x 82

              ^

          2 x 41

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

pls help 100 points helphelp

Answers

Answer:

Some kind of evadence

Step-by-step explanation:

Answer:

Im pretty sure it would be C.

Step-by-step explanation:

Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.

Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021

Answers

It is Fire warden caps.

At 1:00 a.m., the temperature is 58º. At 9:00 a.m., the temperature is 76º. Find the rate of change in degrees per hour during this time.​

Answers

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

Which statement is not true? Help ASAP! Thanks!!

Answers

Answer:

4 option...... .......

4 because it’s 4 lol so yea

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

forty percent of N is equal to two hundred forty. how do i write in number?​

Answers

40% of 600 is 240 :)

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are specified that:

40% of N = 240

Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get

[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]

Thus,  40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

Learn more about percent here:

https://brainly.com/question/11549320

At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

Enter
31/100 as a money amount and as a decimal in terms of dollars.

Answers

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)

Answers

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

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