Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse remains hopeful, since on any given day independently there is a 6% chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Milhouse goes longer than a month without a smile from Lisa

Answers

Answer 1

Answer:

15.6%

Step-by-step explanation:

Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...

94% / 100 = 0.94

[tex]0.94^{30}[/tex] = 0.156

Now we can turn this decimal into a percentage by multiplying by 100

0.156 * 100 = 15.6%

Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%

Answer 2

Using the binomial distribution, it is found that there is a 0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

For each day, there are only two possible outcomes, either Lisa smiles at him, or she does not. The probability that she smiles at him on day is independent of any other day, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

On any given day independently there is a 6% chance that Lisa smiles at him, hence, [tex]p = 0.06[/tex].Considering a 30 day month, we have that [tex]n = 30[/tex].

The probability that Milhouse goes longer than a month without a smile from Lisa is the probability of no smiles during 30 days, that is, P(X = 0), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.06)^{0}.(0.94)^{30} = 0.1563[/tex]

0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.

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Related Questions

HELP HELP HELP HELP HELP PLEASE PLEASE!!!!!!

Answers

I did something very very similar to this bu it was couple years ago

9514 1404 393

Answer:

  84 = j × 7

Step-by-step explanation:

A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...

  j × 7

Then the translation can be ...

  84 is the product of j and 7

  84 = j × 7

__

In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:

  84 = 7j . . . . another way to write the answer

Note that this latter method does not seem to appear in the forms available for your answer box.

Help me I am stuck find the quotient of 38.5 and 0.5 this is a question for my kid

Answers

Answer:

I got 77

Step-by-step explanation:

38.5÷0.5=x

385÷5=x

x=77

Answer:

77

Step-by-step explanation:

38x2 = 76

I did this because 0.5 is one half and you multiply it by 2 to get a whole number.

and you add 1 because there is 1 0.5 in 0.5

So the answer is 76+ 1 or 77

5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,

Answers

Answer:

commutative

Step-by-step explanation:

Commutative property says changing the order of addends does not change the sum.

Answer:

commutative

Step-by-step explanation:

Commutative property says changing the order of addends does not change the sum.

3 ÷ 1/8 show your work on paper! :D

Answers

Answer:

[tex]3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24[/tex]

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

answer question for points and brainless (right answer not something dum)

Answers

Answer:

Hey shelby Sorry i havent talk to you anyway maybe want to catch up and talk someday

Step-by-step explanation:

And ill answer the question when i can focus more sorry if i stole ur points ummmm ill put the answer as a comment to my answer or what ever

Witch one is a function?

Answers

Answer: Choice D

This shows a list of points where the x coordinate does not repeat. This means that any given x input leads to exactly one y output.

Something like choice A has x = 6 repeated; showing that x = 6 leads to both y = 11 and y = -9 at the same time. So this is why choice A is not a function. Choice B has x = 1 repeat, so it's not a function either. Choice C has x = 19 repeated, so it's not a function.

As a visual tool, you can use the vertical line test to check each set of points. If you are able to draw a single vertical line through more than one point on the graph, then it is not a function.

Answer: A

Step-by-step explanation: I hope I help you if it was wrong I'm sorry

jessica I have sent u letter in email did u read it?​

Answers

Answer:

hhehehehe

Step-by-step explanation:

Answer:

who is jessica and y r u even using brainly to say this?..

Step-by-step explanation:

....

Alice says that all the factors of 8 are even.
Write down an example to show that Alice is wrong.​

Answers

1 is not even yet it is a factor of 8. Alice is wrong.

Nadia lives in the town of Preston. Quinn lives

in the town of Elm Ridge. Nadia and Quinn each

claim that her respective town's population

is growing more rapidly.

Preston

Last Year 5,589 and this Year 5,702

ELM Ridge

Last Year 1,870

and this Year 1,926

Answers

Answer:

ELM Ridge is growing at a faster rate

Step-by-step explanation:

To obtain the solution, we calculate the growth rate of both cities

Given :

Nadia : Preston

Population Last Year 5,589

This Year 5,702

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(5702 - 5589) / 5589] * 100%

(113 / 5589) * 100%

= 0.0202182 * 100%

= 2.02%

ELM Ridge

Last Year 1,870

This Year 1,926

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(1926 - 1870) / 1870] * 100%

(56 / 1870) * 100%

= 0.0299465 * 100%

= 2.994%

= 3%

my son is trying to do translating angels ​

Answers

Answer:

Hi ma'am/sir... make sure your question is complete with a photo or options when asking a question on brainly.com

Step-by-step explanation:

thanks!

Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?

Answers

Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153

Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.

The SE of p1-p2 is:________

Answers

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

       

The Eagles are trying to win in overtime by scoring a field goal. In order for the kicker to successfully make a 54 yard kick the ball needs to reach a maximum height of 24 yards. Find the equation of the parabolic arc of the football, and write the a value in the general equation: y=a(x-h)^2+k = a ( x − h ) 2 + k in the blank below (be sure to write your answer in simplified fraction form, with no spaces).

Answers

4b75b have a good day

y= 2x+4
How many solutions does this linear system have?
x + 2y = -8
O one solution: (8,0)
O one solution: (0,8)
O no solution
O infinite number of solutions

Answers

I think it’s d I’m sorry if I’m wrong

The solution is, x = 0 , y = 4, solutions that this linear system of equation  have.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

Solve the following system:

{y = 4 - 3 x | (equation 1)

x + 2 y = 8 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

x + 2 y = 8 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + y = 4 | (equation 1)

0 x+(5 y)/3 = 20/3 | (equation 2)

Multiply equation 2 by 3/5:

{3 x + y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 0 , y = 4

Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation  have.

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Complete question:

How many solutions does this linear system have?

y=-3x+4

x + 2y = 8

O

O

O

O

one solution: (8,0)

one solution: (0,8)

no solution

infinite number of solutions

A collection of quarters and dimes is worth $4.25. There are 23 coins in all. How many of each are there?

Answers

Answer:

4.48

Step-by-step explanation:

Answer: 13 quarters and 10 dimes

Step-by-step explanation:

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

145

Step-by-step explanation:

x+35=180(linear pair)

x=145

or

180+35+x=360(being complete turn)

x=145

180-35= 145
x= 145 degree

graph the following equation and plz how

Answers

Desmos Graphing Calculator

1.488 divided by 2.1 rounded to nearest tenth

Answers

The answer should be 0.70

Write the number 5,187,000,700 in words.

Answers

it’s Five billion one hundred eighty seven million seven hundred . :)

if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??

Answers

Answer:

3600

Step-by-step explanation:

If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia

PLEASE HELP!! WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

Answers

Answer:

x=12

y = 4

Step-by-step explanation:

3x + y = 4x - 2y

x = 3y

y= 1/3x

3x + y = 40             3x + y = 40

3(3y) + y = 40         3x + (1/3x) = 40

9y + y =40              10/3x = 40

10y = 40                  x = 12

y= 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Hence, the value of x is 12 and y is 4.

Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.

a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)

Answers

Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below  is a detailed solution ( written as a numbered sequence of statements )

Answer:

identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.

What is logical equivalence?

A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.

Contradiction and tautology

Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.

However, why is this significant?

We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.

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For the pair of similar triangles, find the value of x.

The value of x is .

Answers

Answer:

18.

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The value of 'x' in two similar triangles is 6.46.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in similar triangles the ratio of their corresponding sides are equal.

Therefore, The equation to determine the value of 'x' should be,

(2x - 6)/20 = 36/(x + 6).

36(2x - 6) = 20(x + 6).

72x - 216 = 20x + 120.

72x - 20x = 120 + 216.

52x = 336.

x = 336/52.

x = 6.46.

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Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

Answers

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

If Allison pays with a $50 bill, how much change will she have?

Answers

Answer:

$29

Step-by-step explanation:

30(1/5) = 6

30 - 6 = 24

30(1/10) = 3

24 - 3 = 21

50 - 21 = 29

(Nvm i realized i was wrong)

A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?

a. At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20
b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.
d. At the level of significance of 0.05, the null hypothesis is rejected. There is not convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.
e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.

Answers

Answer:

A) At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

Since the calculated p value by the test is obtained higher than that of significance level, thus we cannot reject the null hypothesis.

Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not  convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

We have following information:

The p value obtained by test = 0.47

The test was conducted to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance 0.05.

How do we test the hypothesis?

We have the null hypothesis as

Null hypothesis here = "the proportion of viewers who watch a particular show is equal to 0.20 "

Alternate hypothesis = "the proportion for aforesaid condition is less than 0.20"

Since the obtained p value is more than the level of significance, thus we have the conclusion that we cannot reject the null hypothesis, thus cannot conclude that the proportion for aforesaid condition is less than 0.20.

Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

Learn more about testing of hypothesis here:

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a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answers

Answer:

[tex]Total\ Rotation = 225^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

[tex]\theta = 360^{\circ}[/tex]

An octagonal nut has 8 sides. So, each rotation is:

[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]

[tex]Each\ Rotation=45^{\circ}[/tex]

From position 8 to 5, there are 5 movements.

So, the total rotation is:

[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]

[tex]Total\ Rotation = 45^{\circ} * 5[/tex]

[tex]Total\ Rotation = 225^{\circ}[/tex]

Which of the following describes the zeroes of the graph of f(x)=3x^ 6 +30x^ 5 +75x^ 4 ?

Answers

Answer:  b

Step-by-step explanation:

took the quiz same answer on edunity

Enter A B C or D

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary:
{16, 16, 18, 17,
20, 14, 8, 26, 11, 22, 16, 16, 17, 18).



A. x = 16.8; 6 = 4.2

C. x = 14, 0 = 4.2

B. median = 16.5; range 8 to 26

D. median = 16.5; range: 16 to 18

Answers

Answer:

B is the correct answer

Step-by-step explanation:

hope this helps :)

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