the one-time fling! have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? this is called a one-time fling. about 5% of all adults deliberately do a one-time fling and feel no guilt about it! in a group of eight adult friends, what is the probability of the following? (round your answers to three decimal places.) a button hyperlink to the salt program that reads: use salt. (a) no one has done a one-time fling (b) at least one person has done a one-time fling (c) no more than two people have done a one-time fling

Answers

Answer 1

The values of all sub-parts have been obtained.

What is binomial distribution?

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure. It is used in probability theory and statistics.

As given,

Sample size, n = 9

P (doing a one-time fling), p = 0.05

q = 1 - p

q = 1- 0.05

q = 0.95

Binomial distribution:

P(X) = nCx*px*q^(n-x)

A) Evaluate the probability when no one has done a one-time fling.

P (no one has done a one-time fling) = P(0)

= 0.959

= 0.6302.

B) Evaluate the probability when at least one person has done a one-time fling.

P (at least one person has done a one-time fling) = 1 - P(no one has done a one time fling)

= 1 - 0.6302

= 0.3698.

C) Evaluate the probability when no more than two people have done a one-time fling.

P(no more than two people have done a one-time fling) = P(0) + P(1) + P(2)

= 0.6302 + 9x0.05x0.958 + 9C2 x 0.052x0.957

= 0.6302 + 0.2985 + 0.0629

= 0.9916.

Hence, the values of all sub-parts have been obtained.

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Related Questions

convert 36,400sec in day​

Answers

Step-by-step explanation:

36400 sec = 0.421 day

I think this should be the answer

answer this correctly for brainlist
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.

A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.

What is the area of the tile shown?

53 cm2
45.5 cm2
42.5 cm2
36.5 cm2

Answers

Answer:

45.5

Step-by-step explanation:

i passed

b=45.5
i took the test

Which expression is equivalent to (3^5 x^2)^4 use step by step

Answers

Answer:

look at the screenshot

Step-by-step explanation:

Which expression is equivalent to (3^5 x^2)^4 use step by step

Consider these three numbers written in scientific notation.

1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

prove that cos(sin^-1x)=sqrt(1-x^2)

Answers

Let's consider a right triangle with an angle θ such that sin θ = x. By definition,  To prove the identity cos(sin^⁻¹x) = √(1 - x^2), we can use the properties of trigonometric functions and inverse trigonometric functions.

Let's consider a right triangle with an angle θ such that sin θ = x. By definition, sin^⁻¹x represents the angle whose sine is x. In the triangle, the side opposite to θ has length x, and the hypotenuse has length 1.

Using the Pythagorean theorem, we can find the length of the adjacent side, which is √(1 - x^2). This represents the cosine of the angle θ.

Therefore, we have cos(sin^⁻¹x) = √(1 - x^2), which proves the given identity.

To elaborate further, we can use the definition of sine and cosine in terms of the sides of a right triangle. The sine of an angle θ is defined as the ratio of the length of the side opposite to θ to the length of the hypotenuse. In this case, sin θ = x.

Using the Pythagorean theorem, we find that the length of the adjacent side is √(1 - x^2). This length represents the cosine of the angle θ.

Thus, we have cos(sin^⁻¹x) = √(1 - x^2), demonstrating the validity of the given identity.

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orthogonal complement is orthogonality, and find the direct sum s ⊕ s orthogonality.

Answers

Therefore, to determine the direct sum S ⊕ S' with orthogonality, you need to ensure that every vector in S is orthogonal to every vector in S', and vice versa. If this condition holds true, you can conclude that S ⊕ S' is an orthogonal direct sum.

The orthogonal complement of a subspace is a concept in linear algebra that represents the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in the given subspace. To find the direct sum S ⊕ S' of two subspaces S and S', the subspaces S and S' must be orthogonal to each other. In other words, every vector in S must be orthogonal to every vector in S', and vice versa.

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i need help
I'm doin​

i need helpI'm doin

Answers

Answer:

graph A  

Hope that helps!                                                                                                  

Answer: Graph a

Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).

2. Which of the following is the correct value of ? Show your reasoning.

2. Which of the following is the correct value of ? Show your reasoning.

Answers

Answer:

b

Step-by-step explanation:

0.22x4

= 0.22+0.22+0.22+0.22

=0.88

Or

0.22*100=22

22*4=88

88:100=0.88

8. Present age of Rahul and kiran are in the ratio
5:4. The ratio of their ages will be 6:5 after
5 years.Find kiran's present age.
20 years
25 years
30 years
15 years​

Answers

Answer:

20 years

Step-by-step explanation:

Given the ratio of their ages = 5 : 4 = 5x : 4x ( x is a multiplier )

Then in 5 years

5x + 5 : 4x + 5 = 6 : 5 , that is

\(\frac{5x+5}{4x+5}\) = \(\frac{6}{5}\) ( cross- multiply )

5(5x + 5) = 6(4x + 5) ← distribute parenthesis on both sides

25x + 25 = 24x + 30 ( subtract 24x from both sides )

x + 25 = 30 ( subtract 25 from both sides )

x = 5

Thus

Kiran's age is 4x = 4 × 5 = 20

how many minutes are required for 175 gpm to pass the entire 1500-foot length of a 12-inch diameter pipeline

Answers

To calculate the time required for 175 gallons per minute (gpm) to pass through a 1500-foot length of a pipeline with a 12-inch diameter, we can follow these steps:

Convert the diameter from inches to feet:

12 inches = 12/12 = 1 foot

Calculate the cross-sectional area of the pipeline using the formula for the area of a circle:

Area = π *\((radius)^2\)

Radius = diameter/2 = 1/2 = 0.5 feet

Area = π *\((0.5)^2\) = 0.785 square feet

Convert the flow rate from gallons per minute (gpm) to gallons per second (gps):

175 gpm = 175/60 gps

Calculate the velocity of the flow using the formula:

Velocity = Flow rate / Cross-sectional area

Velocity = (175/60) / 0.785 = 3.56 feet per second (rounded to two decimal places)

Calculate the time required to pass the entire 1500-foot length of the pipeline using the formula:

Time = Distance / Velocity

Time = 1500 / 3.56 = 421.35 seconds (rounded to two decimal places)

Convert the time from seconds to minutes:

421.35 seconds = 421.35/60 minutes = 7.02 minutes (rounded to two decimal places)

So, it would take approximately 7.02 minutes for a flow rate of 175 gpm to pass through the entire 1500-foot length of a 12-inch diameter pipeline.

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Find the measure of each
angle in the isosceles
trapezoid.
D
A
136⁰
B
с

Find the measure of eachangle in the isoscelestrapezoid.DA136B

Answers

Answer:

b=136, c=44, d=44

Step-by-step explanation:

B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44

how to find a random sample of 150 students has a test score average of 70 with a standard deviation of 10.8. find the margin of error if the confidence level is 0.99 using statcrunch A. 2.30 B. 0.19 C. 0.87 D. 0.88

Answers

Therefore, the margin of error, rounded to two decimal places, is approximately 2.27.

To find the margin of error for a random sample, we can use the formula:

Margin of Error = Critical Value * (Standard Deviation / sqrt(Sample Size))

Given:

Sample Size (n) = 150

Test Score Average (Sample Mean) = 70

Standard Deviation (σ) = 10.8

Confidence Level = 0.99

First, we need to find the critical value associated with the confidence level. For a 99% confidence level, the critical value can be found using a standard normal distribution table or a calculator. The critical value corresponds to the z-score that leaves a tail probability of (1 - confidence level) / 2 on each side.

Using a standard normal distribution table or a calculator, the critical value for a 99% confidence level is approximately 2.576.

Now, we can calculate the margin of error:

Margin of Error = 2.576 * (10.8 / sqrt(150))

Calculating the square root of the sample size:

sqrt(150) ≈ 12.247

Margin of Error ≈ 2.576 * (10.8 / 12.247)

Margin of Error ≈ 2.27

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evaluate the expression: 4c + 3d + f if c=5 d= -3 f=-2

Answers

Answer:

-67

Step-by-step explanation:

hope it helps you can do it

Help pleaseeeee. I can’t figure this out

Help pleaseeeee. I cant figure this out

Answers

Answer:

Step-by-step explanation:

That's what i'm doing to K 12

what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?

Answers

Answer:

Step-by-step explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope"  equation.

\(y-y_{1} =m(x-x_{1} )\)    

From the given line equation we can find slope easily.

We can rewrite the line equation as \(y=-\frac{4}{3} x+4\)

We can compare the above equation as  y=mx+b

slope \(m=-\frac{4}{3}\) and point \((x_{1} ,y_{1} )\)=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

\(y-4=-\frac{4}{3}(x-3)\)

solve and get the answer

Equation of line is 4x+3y=24

Mr. Angelou moved closer to his family. He used to live 89 miles away and now purchased a home 51 miles away from his family. What is the percent decrease in distance from his home to his family now? Be sure to round to the nearest hundredth.

Answers

Answer:

43.70%

Step-by-step explanation:

You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jeans, 39.99; Discount, negative 10.00; Subtotal, 29.99; Sales Tax, 1.95; Total, 31.94. The line at the bottom reads, Thank You. a. What is the percent of discount to the nearest percent? The percent of discount is %. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is %. c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is %.

Answers

Answer:

25%

6.5%

35%

Step-by-step explanation:

Given the invoice :

Bill for a pair of Jean

Jeans ______39.99

Discount ___ - 10.00

Subtotal ____ 29.99

Sales tax ____ 1.95

Total _______ 31.94

A) % of discount to the nearest %

Discount amount = % discount * price

10 = x% * 39.99

10/39.99 = x%

0.2500625 = x%

x = 0.2500625 * 100%

% discount = 25%

% of sales tax:

Sales tax amount = % tax * Subtotal

1.95 = x% * 29.99

1.95/29.99 = x%

0.06502 = x%

x = 0.06502 * 100%

x = 6.5%

Markup before discount = 60%

Markup after discount = (60 - 25)% = 35%

Given
mZAOC is a straight angle.
MZAOB = 8x + 51°
mZBOC = 6x - 25°
Find mZAOB=

GivenmZAOC is a straight angle.MZAOB = 8x + 51mZBOC = 6x - 25Find mZAOB=

Answers

Answer:

∠ AOB = 139°

Step-by-step explanation:

Since AOC is a straight line then

∠ AOB + ∠BOC = 180° , that is

8x + 51 + 6x - 25 = 180

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Then

∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°

Select the reason that best
supports Statement 5 in the
given proof.

Select the reason that bestsupports Statement 5 in thegiven proof.

Answers

Answer:

B) Subtraction Property of Equality

Step-by-step explanation:

To get m∠B=77º, the problem subtracted 103º from both sides of 103º+m∠B=180º.

The Subtraction Property of Equality states that if x=y, then x-a=y-a.

In this case x=103º+m∠B, y=180º, and a=103º.

jack strong has $50,000 of wealth. he is participating in a jujitsu competition. the prize is $10,000. he is guaranteed to win it (he has black belt) unless he breaks his arm. if his arm is broken, he will lose the tournament and he will have to pay $5,000 in medical expenses. jack thinks that the probability of him breaking his arm during a tournament is 5 percent. he can get a medical insurance at a price of $.3 dollars for each $1 of coverage.

Answers

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

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can you help stuck on this question for a while ​

can you help stuck on this question for a while

Answers

Answer:

Option B

Step-by-step explanation:

Length of the rectangular sand box is given by the function,

F(x) = 3x³ + 6x - 2

Width of the sand box is represented by the function,

W(x) = 2x² - 4

Area function for the sand box will be,

Area of a rectangle = Length × Width

F(x) × W(x) = (3x³ + 6x - 2)(2x² - 4)

                 = 2x²(3x³ + 6x - 2) - 4(3x³ + 6x - 2)

                 = 6x⁵+ 12x³ - 4x²- 12x³- 24x + 8

                 = 6x⁵- 4x²- 24x + 8

Therefore, Area function will be represented by a polynomial degree of 5.

Option B will be the answer.

What is a solution to the system of linear equations?

(-3,0)
(-3,3)
(0,2)
(3,1)

What is a solution to the system of linear equations?(-3,0)(-3,3)(0,2)(3,1)

Answers

Step-by-step explanation:

try adding . all the x vlues and the y values

Answer:

C) (0,2)

Step-by-step explanation:

just took the test on edg2021

the cost of 12 pencils is rupees 37 4 by 5 find the cost of one pencil​

Answers

Answer:

Cost of 12 pencils = 37 4/5 = 189/5

Cost of 1 pencil = 189/5 ÷ 12

= 189/5 x 1/12 = 189/60 = 63/20 = 3 3/20

So required answer is 3 3/20

Hope This Helps You!

For questions 3 – 4, use the table to answer the questions.

This table shows the high schools in a metro district and whether they offer hockey and golf.

High school Hockey Golf

East Valley ✔

Central

Lincoln ✔ ✔

Davis

West Pine ✔ ✔

Adams ✔

North River ✔ ✔

A high school is chosen at random from this list.

Let event A = The high school has a hockey team.

Let event B = The high school has a golf team.

3. Which high schools offer both hockey and golf?




What is P(A ∩ B)?



4. Which high schools offer hockey or golf or both?




What is P(A ∪ B)?


Answers

We have P(A ∩ B) is 2/5  and P(A ∪ B) is 5/5.
Lincoln and West Pine high schools offer both hockey and golf.

P(A ∩ B) is the probability that a randomly chosen high school has both a hockey team and a golf team. The probability that a school picked at random offers both hockey and golf is 2/5 (Lincoln and West Pine are the only schools that offer both out of 5 total schools.)

East Valley, Lincoln, West Pine, Adams and North River high schools offer hockey or golf or both.

P(A ∪ B) is the probability that a randomly chosen high school has either a hockey team or a golf team or both. The probability that a school picked at random offers either hockey or golf or both is 5/5 (All 5 high schools in the district offer at least one of the sports.)

Therefore, the correct answers of the problem statement are P(A ∩ B) is 2/5  and P(A ∪ B) is 5/5.

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A restaurant catered an event for 25 people. A child’s dinner cost $5 and an adult’s dinner cost $22. The party cost $431. How many children were in attendance? How many adults were in attendance?

Answers

Answer:

7 Children and 18 Adults.

Step-by-step explanation:

Sorry im late but thats the answer ^

There was 7 children attendee and 17 adult attendee.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A restaurant catered an event for 25 people.

A child’s dinner cost $5 and an adult’s dinner cost $22.

The party cost $431.

let the number of children attendee be x and adult attendee be y.

So, x+ y = 25..............(1)

and, 5x + 22y = 431.......(2)

Solving the Equation (1) and (2) we get

5(25 - y) + 22y= 431

125 - 5y + 22y= 431

17y = 431-125

17y = 306

y = 18

and, x= 25-18 = 7

Hence, there was 7 children attendee and 17 adult attendee.

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what is the coefficient in the expression? 7x+56

Answers

Answer:

7

Step-by-step explanation:

Coefficient is the number that comes before x

That's why 7 is the answer

what is the first step when solving this equation for t?
31-12t = 211

A. combine 31-12
B. add 12 to both sides
C. add 31 to both sides sides
D. subtract 31 from both sides

Answers

Answer:

D. subtract 31 from both sides

you cant combine cuz theyre not like terms and you have to undo the constant number before you undo the second term in the equation so you will end up needing to do letter choice D first.

Step-by-step explanation:

hope this helped a little bit :)

Answer: D. subtract 31 from both sides

======================================================

Explanation:

The expression 31-12t is the same as 31+(-12t). Adding a negative is the same as subtracting a positive.

Then we can flip the two terms getting -12t+31. This is because we can add two numbers in any order.

So we're effectively solving -12t+31 = 211

The first step is to subtract 31 from both sides to undo the +31. We follow PEMDAS in reverse to isolate the variable.

Please help I will give 20 points also no links, please

Please help I will give 20 points also no links, please

Answers

Answer:

Slope of a line perpendicular is -5/2

Step-by-step explanation:

Please help I will give 20 points also no links, please

Find the slope of the line. Use the "/" to make a fraction if needed.

(not apart of the question)
Im adding more because I known none of these questions

Find the slope of the line. Use the "/" to make a fraction if needed.(not apart of the question)Im adding

Answers

Answer:

The answer is 0 or No Slope

Step-by-step explanation:

This type of line in the graph is called no slope its means it doesn't rise over time

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The Jackson family borrowed $240,000 to purchase a house and, over thirty years they had to repay 250% of what they borrowed. What is the total amount of money the Jackson family paid for their loan? Brainly

Answers

Answer:

Step-by-step explanation:

Given

\(Loan = \$240,000\)

\(Amount = 250\%\)

Required

Determine the total amount

This is calculated by multiplying the loan amount by the percentage:

i.e.

\(Payment = Amount\% * Amount\)

\(Payment = 250\% * \$200000\)

\(Payment = \$500000\)

Hence, the total payment is $500000

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a. The approximate effect of doubling the solar insolation incident on a solar module is to (a) double the current (b) double the voltage (C) both (d) neither b. Does the LHV of a hydrocarbon fuel inc after the nurse has taught a client with asthma about use of a peak flow meter, which client statements indicate that the teaching has been effective ? select all that apply . one , some , or all responses may be correct . What is the median of the data set? 15, 19, 20, 22, 26, 30, 31 O A. 15 O B. 31 O c. 22 O D. 7. A random sample of size 16 is to be taken from a normal population having a mean of 100 and a variance of 4. What is the 90th percentile Find the indicated side of theright triangle.6030Xx = 3/[?]3 How many "snapshots" does it take to determine a client's financial position at any given moment?O twofiveO threeO fourMark this and returnSave and ExitSubmit Consider the functions f(x) = 2x + 5 and g(x) = 8 x 2 . Solvefor x where f(g 1 (x)) = 25. Jamie needs to multiply 2x-4 and 2x^2 + 3xy -2y^2 they decided to use the box method fill the spaces in the table with the products when multiplying each term If f(x)=x^(2 )+4 then verify (fof^(-1))(x)=(f^(-1) of)(x)=x. (Consider the positive values only) Which number line shows the inequality n < -3? Our sun's 5800 K surface temperature gives a peak wavelength in the middle of the visible spectrum.What is the minimum surface temperature for a star whose emission peaks at some wavelength less than 400 nm? that is, in the ultraviolet? a k/n lottery requires choosing k of the numbers 1 through n. how many different lottery tickets can you choose for a 7/47 lottery? (order is not important, and the numbers do not repeat.) which interprofessional action will the nurse take first for a patient who has hypoemia caused by pneumonia A right triangle is______equiangularA( Always B( SomtimeC( Never A physician calls the laboratory and asks what lab tests should be requested to assess the acid-base balance function of a patient's renal system. You reply: a middle aged adult client is discussion future plans with the nurse. which of the following statements should the nurse identify as an indication that the client is having difficulty achieving eriksons develoomental task for this age group a ball rolls up a slope. at the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s. what is the magnitude of its average acceleration from the third to the eighth second? Study the table about Earths interior.A 4 column table with 5 rows. First column is unlabeled with entries: Crust, uppercase mantle, Lower mantle, Outer core, Inner core. Second column is labeled Thickness in kilometers with entries: 30, 720, 2,171, 2,259, 1,221. Third column is labeled Density in grams per centimeters cubed, divided into Top and Bottom columns. Top entries are: 2.2, 3.4, 4.4, 9.9, 12.8. Bottom entries are 2.9, 4.4, 5.6, 12.2, 13.1. Fourth column is labeled Types of Rock Found with entries: Silicic rocks, Peridotite, Magnesium and silicon oxides, Iron plus oxygen, Iron plus oxygen.Which conclusion is supported by information in the table?The mantle is thinner than the crust.The core is the thickest of Earths layers.The inner core is thicker than the outer core.The mantle is the thinnest of Earths layers. One of the legs of a right triangle measures 16 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth. Please help! The selected one is wrong