Air-USA has a policy of booking as many as 22 people on an airplane that can only seat 20 people. (Past studies have revealed that only 82% of the booked passengers actually show up for the flight.) a) Find the probability that if Air-USA books 22 people, not enough seats will be available. Round your answer to 4 decimal places. P ( X > 20 )

Answers

Answer 1

Answer:

The answer is "0.07404893".

Step-by-step explanation:

Applying the binomial distribution:

[tex]n = 22\\\\p= 82\%=0.82\\\\q = 1-0.82 = 0.18\\\\[/tex]

Calculating the probability for not enough seats:

[tex]=P(X>20)\\\\= P(21) + P(22)\\\\[/tex]

[tex]= \binom{22}{21} (0.82)^{21}(0.18)^1+ \binom{22}{22} (0.82)^{22}(0.18)[/tex]

[tex]=0 .06134598+ 0.01270295\\\\=0.07404893[/tex]


Related Questions

!!! HELP ASAP !!! I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!

Answers

Hi!
The question is asking you to round to the nearest hundredth. That means that if it’s asking you to round 2.03, it would round down to 2.00.

(-1/2^5)×2^3×(3/4^2) [EVALUATE]​

Answers

Step-by-step explanation:

here's the answer to your question

Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).

Answers

Answer:

Step-by-step explanation:

f(n) = 8 + 3(n) - 3

f(n) = 5 + 3n

f(1) = 5 + 3(1)

f(1) = 8

f(2) = 5 + 3(2)

f(2) = 5  + 6

f(2) = 11

f(3) = 5 + 3*3

f(3) = 14

f(4) = 5 + 3*4

f(4) = 17

Given the number 2376.458 rounded to the following place values: 1) Rounded to the nearest hundred, 2) Rounded to the nearest whole unit, 3) Rounded to the nearest hundredth,

Answers

Answer:

1)2400

is the result of rounding 2376.458 to the nearest 100.

2) 2376

is the result of rounding 2376.458 to the nearest integer.

3)2376.46

is the result of rounding 2376.458 to the nearest 0.01

I hope this is right and it helps !!!!!!!!!!!!!!!!

Answer:

1(2400)

2(2376)

3(2376.46)

Step-by-step explanation:

it's just your fraction skills

Find all the zeros of f(x).
f(x) = 2x3 + 7x2 - 28x + 12
Arrange your answers from smallest to largest. If
there is a double root, list it twice.

Plz help!

Answers

Answer:

The zeroes are -6, 1/2 and 2.

Step-by-step explanation:

f(x) = 2x3 + 7x2 - 28x + 12 = 0

From the first and last coefficient 2 and 12, one guess for a zero is x = 2.

So substituting x = 2:

f(2) = 16+ 28 - 56 + 12 = 0

So x = 2 is a zero and x - 2 is a factor of f(x)

Performing long division:

x - 2)2x3 + 7x2 - 28x + 12( 2x2 + 11x - 6 <------- Quotient

       2x3  - 4x2

                 11x2 - 28x

                 11x2 - 22x

                          - 6x + 12

                           -6x + 12

                            .............

Now we solve

2x2 + 11x - 6 = 0

(2x - 1)(x + 6) = 0

2x - 1 = 0 or x + 6 = 0, so:

x = 1/2,  x = -6.

Answer: -6, 1/2, 2.

Step-by-step explanation:

{(x) = 2x3 + 7x2 - 28x + 12 = 0

From the first and last coefficient 2 and 12, one

guess for a zero is x=2.

So substituting x=2:

{(2) = 16+ 28 - 56 + 12 = 0

So x = 2 is a zero and x - 2 is a factor of f(x)

Performing long division:

X - 2)2x3 + 7x2 - 28x + 12(2x2 + 11x - 6 <

Quotient

Question 5 of 25
Find the common ratio for this geometric sequence.
0.7, 2.1, 6.3, 18.9,...
O A. 1.4
O B. 3
O C.-3
D. 0.33
SUBMIT

Answers

Answer:

3

Step-by-step explanation:

common ratio

2.1/0.7=3

6.3/2.1=3

18.9/6.3=3

therefore common ratio is equal to 3

Solve the inequality (help please)

Answers

Answer:

v<1 23/25

Step-by-step explanation:

The inequality simplifies to 48/25, which is equivalent to 1 23/25.

What is the slope of the line?
-3

-1/3

1/3

3

Answers

Answer:

D) 3

Step-by-step explanation:

Rise/run, rise is 3, run is 1

Answer:

3

Step-by-step explanation:

Pick two points on the line

(0,0) and ( 1,3)

The slope is found by

m = ( y2-y1)/(x2-x1)

    = ( 3-0)/(1-0)

    = 3/1

   = 3

Write the equation of each line in slope intercept form. Slope is -6, and (1,-2) is on the line

Answers

Y = -6x + 4

See the attached photo for further reference.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

5. Sam wrote the expression below.
10 +15k
Rami said that this expression is equivalent to 5(3k + a)
Kenneth said this expression is equivalent toyk+6+8k+4.
Who is correct and why? Explain your thinking clearly,

Answers

Answer:

see below

Step-by-step explanation:

10 + 15k

Factor out the greatest common factor 5

5( 2+3k)

Rewriting

5(3k+2)

Rami is correct if a=2 then his expression is 5(3k+2)

Kenneth

yk+6+8k+4

Add the terms together

k(y+8) + 10

If y =7 then Kenneth is correct otherwise he is incorrect

Which equation is correct?
cos x° = opposite ÷ hypotenuse
sin x° = hypotenuse ÷ opposite
cos x° = hypotenuse ÷ opposite
sin x° = opposite ÷ hypotenuse

Answers

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

SOH - CAH - TOA

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

Answer:

last option

Step-by-step explanation:

Sin is opposite/negative

Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to mow the lawn if they are working together?

Answers

Answer:

It will take them both 24 minutes to mow the lawn if they are working together.

Step-by-step explanation:

Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:

1/40 + 1/60 = 1 / X

3X + 2X = 120

X = 120/5

X = 24

Thus, it will take them both 24 minutes to mow the lawn if they are working together.

Suppose that the functions and g are defined for all real numbers x as follows.
f(x)=x+6
g(x) = 2x + 6
Write the expressions for (f-g)(x) and (fg)(x) and evaluate (f+g)(1).

Answers

Answer:

Step-by-step explanation:

Given functions are,

f(x) = x + 6

g(x) = 2x + 6

(f - g)(x) = (x + 6) - (2x + 6)

                   = -x

(f . g)(x) = f(x) × g(x)

            = (x + 6)(2x + 6)

            = 2x² + 6x + 12x + 36

            = 2x² + 18x + 36

(f + g)(x) = (x + 6) + (2x + 6)

             = 3x + 12

(f + g)(1) = 3(1) + 12

            = 15  

1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describe how to calculate the Relative Risk and provide the formula.

Answers

Answer and Explanation:

Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.

Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.

Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9. He receives two paychecks of $1500 each in a month, post taxes and withholdings. What is the probability that his expenses will exceed his income in the following month?Ð) 10%. B) 16%.C) 21%.D) 29%.E) 37%.

Answers

Answer:

A) 10%

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.

Sam's monthly bills are normally distributed with mean 2700 and standard deviation 230.9.

This means that [tex]\mu = 2700, \sigma = 230.9[/tex]

What is the probability that his expenses will exceed his income in the following month?

Expenses above 2*1500 = $3000, which is 1 subtracted by the p-value of Z when X = 3000.

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

[tex]Z = \frac{3000 - 2700}{230.9}[/tex]

[tex]Z = 1.3[/tex]

[tex]Z = 1.3[/tex] has a p-value of 0.9032.

1 - 0.9032 = 0.0968 that is, close to 10%, and thus the correct answer is given by option A.

Y
X

Pls help me you’ll get 29 points

Answers

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+x+x = 180

3x = 180

Divide by 3

3x/3 =180/3

x = 60

A store has clearance items that have been marked down by 55%. They are having a sale advertising an additional 40% off Clarence items what percentage of the original price do you end up paying?

Answers

9514 1404 393

Answer:

  27%

Step-by-step explanation:

The price multiplier for the first discount is (1 -55%) = 0.45.

The price multiplier for the second discount is (1 -40%) = 0.60.

Then the price multiplier for the two discounts together is ...

  (0.45)(0.60) = 0.27

You end up paying 27% of the original price.

Blood pressure values are often reported to the nearest 5 mmhg (100, 105, 110, etc.). the actual blood pressure values for nine randomly selected individuals are given below.

108.6 117.4 128.4 120.0 103.7 112.0 98.3 121.5 123.2

Required:
a. What is the median of the reported blood pressure values?
b. Suppose the blood pressure of the second individual is 117.7 rather than 117.4 (a small change in a single value). What is the new median of the reported values?
c. What does this say about the sensitivity of the median to rounding or grouping in the data?

Answers

Answer:

Step-by-step explanation:

Arranging the data in the ascending order:

108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4

The median is the middle value of the data set:

a)

Hence,

median = 117.4

b)

When the value of blood pressure is 117.7 instead of 117.4 then the median will be:

Median = 117.7

c)

This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.

PLEASE HELP!! MIGHT GIVE BRAINLIEST!!!!!

Graph a line with x - intercept of -2 and has a slope of 3

Answers

Answer:

The answer must be between 20 and 5000 characters

Computers from a certain manufacturer have a mean lifetime of 62 months, with a standard deviation of 12 months. The distribution of lifetimes is not assumed to be symmetric. Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers

Answers

Answer:

Between 38 and 86 months.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 62, standard deviation of 12.

Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?

Within 2 standard deviations of the mean, so:

62 - 2*12 = 38

62 + 2*12 = 86

Between 38 and 86 months.

Kezang was 5 times as old as his son 10 years ago. After 8 years, Kezang will be twice as

old as his son. What are their present age​

Answers

Step-by-step explanation:

let father's age = x

son's age = y

Five years hence, age of father = x+5

age of son =y+5

So (x+5)= 3(y+5)

⇒x=3y+10

Five years ago, age of father = x-5

age of son = y-5

Sox-5=7(y-5)

⇒3y + 10-5=7y - 35

⇒ 4y = 40

⇒y=10 <<<<<<<
x = 3y +10= 40 <<<<<

1/2 of 12=1/4 of?
1/3 of 90=2/3of?

Answers

Answer:

24 and 45

Step-by-step explanation:

Okay, now that I can answer this question with the right answers:

The easy way to do this is to first solve the left hand side of the equation.

1/2 of 12 is the same as 12/2 = 6.

So 6 = 1/4 * x

To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:

6*4 = 4* 1/4*x

24 = x

For the other equation, do the same thing:

1/3 * 90 = 90/3 = 30

30 = 2/3*x

30*3 = 3* 2/3 *x

90 = 2x

90/2 = 2x/2

45 = x

What is the range for the following set of numbers?57, -5, 11, 39, 56, 82, -2, 11, 64, 18, 37, 15, 68

Answers

The range= the highest number - the lowest number

so

82-(-2)

=84

then ur answer is 84

821) The integon which is 15 more than - 55 is

Answers

Answer:

-40

Step-by-step explanation:

-55 + 15 = x

-40 =x

can you please answer this????

Answers

Answer:

x = 5

Step-by-step explanation:

I'm taking all bases as b so not typing it

2/3 log 125 = log (125^2/3) = log 25

1/2 log 9 = log (9^1/2) = log 3

So we can rewrite the equation as,

log x = log 25 + log 3 - log 15

or, log x = log (25×3) - log 15

or, log x = log 75 - log 15

or, log x = log (75/15)

or, log x = log 5

or, x = 5

Answered by GAUTHMATH

Use the unit circle to find tan 60°.
a. square root 3/3
c. 2 square root 3/3
b. square root 3/2
d. square root 3



Please select the best answer from the choices provided


A
B
C
D

Answers

the answer is d ( square root 3 )

tan = oposite / adjacent

tan 60° = √3 / 1

= √3

Hello everyone can someone answer this question please

Answers

9514 1404 393

Answer:

  (a)  2

Step-by-step explanation:

Each inch is 2.54 cm, so 5.08 cm is ...

  x / (5.08 cm) = (1 in) / (2.54 cm)

  x = (1 in)(5.08/2.54) = (1 in)(2)

  x = 2 in

5.08 cm equals 2 inches.

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

Answers

Answer:

[tex]\displaystyle 64[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Rule [Variable Direct Substitution Exponential]:                                         [tex]\displaystyle \lim_{x \to c} x^n = c^n[/tex]

Limit Property [Multiplied Constant]:                                                                     [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{x \to 0} f(x) = 4[/tex]

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]:                                           [tex]\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       [tex]\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)[/tex]Simplify:                                                                                                         [tex]\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

Answer: C. 64

Step-by-step explanation:

Edge 100%

Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

x = 24.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Sin theta = opp / hypotenuse

sin 75 = 24 /x

x sin 75 = 24

x = 24/ sin 75

x=24.84662

Rounding to the nearest tenth

x = 24.8

I think the missing side is 24.8

A system of vertices connected in pairs
by edges. Definition

Answers

If the two vertices are additionally connected by a path of length 1, i.e. by a single edge, the vertices are called adjacent. A graph is said to be connected if every pair of vertices in the graph is connected. This means that there is a path between every pair of vertices.
Other Questions
DeriveSomebody could help me?check that Whats another way to say:Walking out of my bedroom felt like a task. I cant believe I havent gotten out of my in a week nor talked to anyone.As soon as I reached my door, I rushed back to take my phone from my night stand.In a more grammatically correct way! Heidi comes from an upper-middle-class family, and after high school she went through a period of exploration. She spent some time traveling around Asia, worked at Disneyland for a few summers, and then waited tables in a ski town while learning to snowboard. Now she is attending college and has made a clear commitment to go into business. According to Marcia, Heidi's current identity status would be described as What are the solutions to the equation?x3 6x2 9x + 54 = 0 1. What does the word processing in data pro- cessing mean?2. Give three examples in which raw data also serves as useful information.3. Give three business examples (not mentioned in the text) of data that must be processed to provide useful information.4. Give three examples of subsystems not operat- ing in the context of IT. Why are these consid- ered subsystems and not systems?5. How do TPSs and DSSs differ?6. What is a problem? Give an example of a busi- ness problem and discuss how a computer- based information system could solve it.7. What is synergy? How is synergy accomplished when a person uses a computer? Explain the connection between synergy and increased productivity.8. An information system consists of hardware and software. Why is this statement inadequate?9. In which situations does one need to make a decision? Give three examples not mentioned in the chapter.10. How can a DSS help make decisions?11. Note the word support in decision support systems. Why are these applications not called decision-making systems?12. Who is considered a knowledge worker? Will you have a career as a knowledge worker? Explain.13. What is the most prevalent type of information system? Why is this type of IS so ubiquitous?14. TPSs are usually used at the boundaries of the organization. What are boundaries in this context? Give three examples of boundaries.15. Among IT professionals, the greatest demand is for network administrators and analysts. Why? What is the definition of satire? The equation of the line with slope 4 that goes through the point (8,3)can be written in the form y=mx+b where m is:and where b is: Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie? Perform the following series of rigid transformations on ABC: Translate ABC by moving it 5 units to the right and 2 units up. Draw the line y = -x, and reflect A'B'C' across the line. Rotate A''B''C'' counterclockwise about the origin by 270. Suppose Torche Corporation has the following results related to cash flows for 2020: Net Income of $10,000,000 Increase in Accounts Payable of $800,000 Increase in Accounts Receivable of $600,000 Decrease in Inventory of $100,000 Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands. What is the Net Cash Flow from Operating Activities? roject A costs $6,000 and will generate annual after-tax net cash inflows of $2,150 for five years. What is the payback period for this investment under the assumption that the cash inflows occur evenly throughout the year 3-5 sentences summary on the Russian revolution Define Total Quality Management (TQM) and Lean Production. Need help due tomorrow What isthe solution to the system of equations graphed below? Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?h=6, k=36h=-6, k=-36h=6, k=30hs-6, k=-30Someone please help me with this I cant fail this test ! Write a program using a dictionary that reads in a single positive digit number [0 - 9] from the user at the keyboard. Your program will then be able to look up the digit key in the dictionary and print the digit value spelled out. If the user types in a number that is either more than one digit, negative, or a non int value, re-prompt the user for valid input. First, before demonstrating your test cases, print out a display copy of the key:value pairs in your dictionary in sorted order. Deliverable: yournameLab4.py Your source code solution and a copy of the run pasted into your source submission file. Be sure to comment out your run so that your .py file will still run in the grader test bed. Validate user input is a single positive digit [0 - 9]. Someone, please help me on this one which part of this map is the subregion central america? The company's variable overhead costs are driven by machine-hours. What would be the total budgeted overhead cost for next month if the activity level is 2,400 machine-hours rather than 2,500 machine-hours? Assume that the activity levels of 2,500 machine-hours and 2,400 machine-hours are within the same relevant range. Group of answer choices