The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minutes. What is the probability that it takes Isabella more than 5 minutes to wait for the bus

Answers

Answer 1

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X [tex]\sim[/tex] uniform(3.17)

[tex]f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17[/tex]

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

[tex]P(X > 5) = \int ^{17}_{5} f(x) \ dx[/tex]

[tex]P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx[/tex]

[tex]P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}[/tex]

[tex]P(X > 5) =\dfrac{1}{14} [17-5][/tex]

[tex]P(X > 5) =\dfrac{12}{14}[/tex]

P(X>5) = 0.857


Related Questions

Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.

y = 0
y = 3
x = 0
x = 3​

Answers

Answer:

x = 0

Step-by-step explanation:

The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0

f(x) = 2^x +3.

0 = 2^x +3.

2^x +3. = 0

2^x = -3

log 2^ x = log(-3)

x log2 = log(-3)

x = log(-3)/log 2

Hence the required function is when x = 0

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Answers

Answer:62%    Step-by-step explanation:

Which of the following are two-step equations? Choose more than
one answers

Answers

Answer:

i think a b d f

Step-by-step explanation:

What is 1/32 as a decimal

Answers

Answer:

0.03125

Hope this helps! :)

0.03125 is the answer :) hope it helped

if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6

Answers

C is the answer
(-3)^2=9
9+(-3)=6

According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past?
1) 0.0241.
2) 0.1703.
3) 0.8779.
4) 0.0483.
5) 0.1221.

Answers

Answer: 0.628

Step-by-step explanation:

Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702

Sample size : n= 54

Mean : [tex]\mu =(54)(0.4702)=25.39[/tex]

Standard deviation:

[tex]\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039[/tex]

The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :

[tex]P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046[/tex]

Hence, the required probability = 0.628

What is the range in interval notation?

Answers

Answer:

The blue box

Step-by-step explanation:

Youre talking about range which takes place on the y-axis (domain is the x-axis).

The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.

What expression is equivalent to 12y + (7y)(3)

Answers

Answer:

I got 33y

Step-by-step explanation:

hi if its right but here

Answer:

57y

Step-by-step explanation:

What is the slope of the graph of
y = -3x + 2?

Answers

Answer: -3

Step-by-step explanation:

Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding​

Answers

Answer:

i personally think the 65 in. one

Step-by-step explanation:

The half-life of cesium-137 is 30 years. Suppose we have a 20 mg sample.

a. Find the mass (in mg) that remains after t years.
b. How much of the sample (in mg) remains after 20 years?
c. After how long will only 1 mg remain?

Answers

Answer:

(a) A = (20mg)/(2^(t/30))

(b) 12.6mg

(c) 129.6years

Step-by-step explanation:

To calculate the amount remaining after a number of half-lives, n, we can make use of:

[tex]A = \frac{B}{2^n}[/tex]

Where A = amount remaining

B = initial amount

[tex]n = \frac{t}{t_{0.5}}[/tex]

(a) A = (20mg)/(2^(t/30))

(b) Mass after 20years

A = (20mg)/(2^(20/30)) ≈ 12.6mg

(c) After how long will only 1mg remain:

1mg = (20mg)/(2^(t/30))

[tex]20mg = {2^{\frac{t}{30}}[/tex]

Taking log of both sides we have:

Log(20) = (t/30)log(2)

t/30 = (log(20))/(log(2)) ≈ 4.3

t/30 = 4.3

t = 30 x 4.3 ≈ 129.6years.

2+2jjjjjjkkkkkkuyuoo

Answers

Akshsishsbsushabahhshshsbzjsjjs

Answer:

4

Step-by-step explanation:

1+1+1+1=2+2=4

Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math

Answers

Answer:

True mate

Step-by-step explanation:

The  budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.

What is Budget?

Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.

Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.

Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.

Therefore, it can be concluded that option 2nd is correct.

Learn more about Budget here:

https://brainly.com/question/17198039

#SPJ2

A and B are independent events.
P(A) = 0.6
P(B) = 0.4
What is P(AB)?
O A. 0.24
O B. 0.6
O C. 0.4
D. Not enough information

Answers

Answer:

Not enough information

Please explain how to do this please show work

Answers

Answer:

(x-1)(x+4)

I.e x(x+4)-1(x+4)

Xsquare +4x -x -4

Xsquare +3x -4

Are the equation linear or nonlinear?​

Answers

Answer:

Results below

Step-by-step explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2

[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2

The table below summarizes the results

Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
from a 40-gram sample after 2 hours.

Answers

la verdad no se la respuesta perdón

Answer: 3.36

Step-by-step explanation:

f(x)=214(1-.50)^6                       6= amount of times 20 min goes into 2 hrs

f(x)=214(.50)^6

.5^6=.0157

f(x)=214(.0157)

       3.36

A sporting goods store sells two types of bicycles, in two colors. The table
shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. Yes, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike | silver) = 0.675.
O D. No, because P(road bike) = 0.675 and P(road bike | silver) = 0.675.

Answers

Answer:

Answer D

Step-by-step explanation:

120 + 81+ 39=240 silver bikes

80+54+26= 160 black bikes

Total 200 + 135 + 65= 400

240+ 160=400

Answer:

Answer is C

Step-by-step explanation:

ap3xxx

HELLP PLZ... Also MERRY EARLY CHRISTMAS ​

Answers

Answer:

Step-by-step explanation:

0 would represent the surface of the water

4 seguall

3

2

1 above water

0-surface of the water

-1 in the water

-2

-3

-4

Answer:

on the surface, because 0 represents sea level.

Step-by-step explanation:

Hope this helps and good luck :)

i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?

Answers

Answer:

.

Step-by-step explanation:

Answer:

0.24857

Step-by-step explanation:

Less than 1 is 0. and

only even prime is 2

21. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
O equiangular
O obtuse
O acute
Oright

Answers

Right triangle
Right answer

The solution is Option C.

The triangle with sides 6 , 8 and 9 is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the sides of the triangle is

The measure of side AB = 6

The measure of side BC = 8

The measure of side AC = 9

Now , for a triangle

a² + b² > c² , the the triangle is an acute triangle

a² + b² = c² , then the triangle is right triangle,

a² + b² < c² , then it is an obtuse triangle

Now , If it is an equilateral triangle , a = b = c

Substituting the values in the equation , we get

AC² < AB² + BC²

9² < 6² + 8²

81 < 36 + 64

81 < 100

Hence , the triangle ABC is an acute triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

I will give brainliest
The original Ferris wheel introduced at the 1893 World’s Fair in Chicago had a diameter of 125 feet. What is the approximate distance traveled by a person who rode this Ferris wheel for 5 complete revolutions? Use 3.14 for pi to solve.
1,962.5 ft
981.25 ft
625 ft
392.5 ft

Answers

Answer:

B is the answer to your question!

981.25 ft that’s the answer

A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?

Answers

Answer:

$4.50

Step-by-step explanation:

6 / 2 = 3

$1.50 x 3 = $4.50

4.5 dollars
2/1.5 is equal to 6/x
You cross multiply and you get 4.5

Can someone help me on these questions?

Answers

Me not good on math matics I sorry hybrid

Answer:

I can give you a few of them, sorry

Step-by-step explanation:

5) obtuse 6)straight 7)right 9) 24°

Takis or Hot cheetos?​

Answers

Answer:

Takis

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

max is thinking of a number which he calls n

Answers

Answer:

what are you trying to ask?

Step-by-step explanation:

7 filler filler filler

using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².​

Answers

Answer:

D

Step-by-step explanation:

is 33 prime or composite Explain​

Answers

33 is composite because it has more than two factors.

Answer:

33 is composite

Step-by-step explanation:Because its factors are 1, 3, 11, 33

How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Answers

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

find the value of x then classify the triangle by its angles

Answers

Answer:

x = 134°

Step-by-step explanation:

Let

[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]

We need to find the value of x.

We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,

[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]

Hence, the value of x is 134°

Other Questions
Where would you find mucous membranes in the body? According to the article, how many chemicals are found in tobacco smoke on average, how many are known to be toxic, and how many have been linked to cancer? songs to listen to whenever ur sadthe soulmate that wasn't meant to be - Jess benkoAs the world caves in - matt malteaseI cant handle change - ROARPluto projector - rex orange contreyNight changes - by one directionBubble gum - clarioREMEMBER U ARE LOVED, FEEL BETTER Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?a.9%b.14%c.18%d.26% Which of the Following is a result of the specialization of labor In the number 11.278, the 7 is located in the _____ place. tenths thousandths hundredths onesPLEASE HURRY BRAiNLIST Please help!!!!!!!!!!!!!Some organisms, such as bacteria, reproduce asexually; whereas, other organisms reproducesexually. Which statement correctly states why one type of reproduction is beneficial over theother?A. Asexually reproduced offspring are more genetically diverse.B. Asexual reproduction produces offspring genetically different from parents.C. Sexual reproduction can produce a large number of offspring very quickly.D. Sexual reproduction produces organisms that are genetically diverse. can you do this pls???? It's due in 14 minutes!!!!!!!! T^T I wrote at least one sentence about an area of impact I selected and why I chose it.I wrote at least five sentences answering the five questions about service in the world (What is the problem? Who else is trying to solve it? How are they trying to solve it? Where do they work to solve the problem? When do they work to solve the problem?) I used complete sentences, as well as proper grammar and spelling. Warren drove 18 miles to work. He drove home a different way and saw that he had driven a total of 41 miles that day. How many miles was the drive home? The ancient Greeks developed the idea of:A. democracyB. slaveryC. capitalismD. feudalism what is the variable to 3x-5 Which statements about Isaac Stevens are correct? Check all that apply.He served in the Mexican-American War.He chose Seattle to be the territorial capital.He fought for the South during the Civil War.He was Washington's first territorial governor.He had the title of Supervisor of Indian Affairs. HELPPPPP WRITE A RESPONSE TO THIS BIRTHDAY LETTERToday, I celebrate the essence of who you are! You are beautiful / handsome and wonderfully made. A unique individual with your special talents. Remember you are a treasure among humanity and may you love who you are and cherish your qualities as you continue to matriculate through your adolescent years! Prior to entering the war, the United StatesA) Had an agreement with Germany to not get involvedB) Had plans to enter the war to defeat the Axis Powers.C) Supplied the Allies with ships and war suppliesD) Bombed Japan. Can someone check if I did this right Polonium-214 went through a series of radioactive decays to produce a stable isotope of bismuth-210 choose the correct decay series that would produce bismuth-210A: Polonium-214 undergoes 2 beta decay and 1 gamma emissionB: Polonium-214 undergoes 1 alpha decay and 2 gamma emissionC: Polonium-214 undergoes 2 alpha decay and 1 beta decayD: Polonium-214 undergoes 1 alpha decay 1 beta decay and 1 gamma emission. Identify the type of motion that occurs when a body moves around its own center of mass.circularrevolutionrotationresolution Which of the following is cause of Decertification the meaning of federalism? yooooooooooooo wassgud