The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.

Answers

Answer 1

Answer:

Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Between a and b minutes.

Here you get a and b for the uniform distribution.

Find the probability that a randomly selected passenger has a waiting time minutes.

Here you will have the value of x.


Related Questions

answer for brainlest pls

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 7 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]

A. 154 inches squared.

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]

[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Solve the solution as an ordered pair
X + 9 = y
X = 4y - 6​

Answers

Answer:

-10, -1

Step-by-step explanation:

See Image below:)

2
D
3
In the diagram above, Z1 = 2x+20 and
Z2 = 3x+10. Find the measure of 21.
Z1 = [ ? 10

Answers

9514 1404 393

Answer:

 ∠1 = 40°

Step-by-step explanation:

Angles 1 and 2 are "alternate interior" angles, so are congruent.

  ∠1 = ∠2

  2x +20 = 3x +10

  10 = x . . . . . . . . . . .  subtract 2x+10 from both sides

The measure of ∠1 is ...

  ∠1 = 2x +10 = 2(10) +20 . . . . . degrees

  ∠1 = 40°

HELPP what is the area of this cylinder

Answers

Answer:

1,884

Step-by-step explanation:

The formula for solving the area of a right cylinder like this one is:

=2πrh+2πr2

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

hey yallll

so i need notes on a discussion about how a deaf persons opinions might vary your own, yes this is for asl. so please if you have the time, can yall have a discussion down below abt this topic?

tysm :)

Answers

Answer:

When someone is deaf they can’t hear, but they still have the ability to see. I believe the main part of living is being able to see, because even if you can’t hear at least you can see and remember the special moments that have occurred in your life. Of course, there are occasions in which it is necessary to hear, but being able to see is something truly valuable for someone because they are able to discover new things with their ability to see. Or maybe you can’t hear your partner tell you that they love you, but at least they can demonstrate it to you and actions speak louder than words in everything.

Step-by-step explanation:

I hope this helped you out

Will mark Brainlest please answer. find the value of a,b.
,p,q from the equal order pairs​

Answers

Step-by-step explanation:

Question-1:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]

cancel 2p from the i equation to get a certain value of p:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]

now substitute the value of p to the second equation:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]

simplify parentheses:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]

cancel 1 from both sides:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]

divide both sides by 2:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]

question-2:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]

cancel out y from the second equation:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]

substitute the value of x to the first equation:

[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]

simplify:

[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]

divide both sides by 3:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]

substitute the value of y to the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]

Question-3:

by order pair we obtain;

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]

rearrange:

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]

subtract and simplify

[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]

substitute the value of q to the first equation:

[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]

make q the subject of the equation:

[tex] \displaystyle p = \frac{3}{4} [/tex]

hence,

[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]

Answer:

see above

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

the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)

Answers

Answer:

3 - (p*q) im not sure lol

Step-by-step explanation:

Solve for X - ln (2x-15) = - 3

Answers

Answer will be x=6 your welcome :)

Answer:

-In(2x-15)=-3

ln(2x-15)=3

2x-15=e^3

2x-15=20

2x=35

x=17.5

what is 2.8436 rounded to the nearest thousandth?​

Answers

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

Need help on this one problem plz!​

Answers

sineangle=5/13 so sin-1(5/13)= 22.61

PLEASE HELP ASAP PLS !!! WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT !!! you’ll get blessed with 10 years of good luck

Answers

Answer:  Choice C

Perpendicular because the slopes are negative reciprocals of each other.

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

Explanation:

Use the slope formula to find the slope of line AB

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

m = (-1-(-2))/(4-8)

m = (-1+2)/(4-8)

m = 1/(-4)

m = -1/4

The slope of line AB is -1/4

Repeat those steps for line CD

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

m = (-9-11)/(-2-3)

m = (-20)/(-5)

m = 4

The slope of line CD is 4

---------

The slopes of AB and CD are -1/4 and 4 respectively.

We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.

One useful property is that perpendicular slopes like this multiply to -1

(-1/4)*(4) = -1

---------

Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).

Answer:

perpendicular because the slopes are negative reciprocals of each other

Step-by-step explanation:

Vector AB (8-4, -2 - -1) = AB(4, -1)

Vector CD(3- -2, 11- -9) = CD(5, 20)

Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular

Express 0.02 as a percent.

Answers

Answer:

2 Percent or %

Step-by-step explanation:

The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.

Answer:

0.02 is 2 percent as a percent

What is the simplified form of √10,000x64 ?

Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32​

Answers

9514 1404 393

Answer:

  (d)  100x^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  √a = a^(1/2)

__

Then ...

  [tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]

Answer:

Step-by-step explanation:

5000x^8

Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
why not.

Answers

Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

which statement is true?

Answers

Answer:

Function A is less than the y value of Function B

Step-by-step explanation:

The y intercept of Function A is c = 3 [y = -3m + 3]

It's gradient will be m = 3 [ y = -9 + 3] to [y = -6]

Function B

Find the size of the of angle x.

Answers

X = 80 degrees

Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

Rewrite the quadratic equation in the form y= a(x - h)2 + k.


y = 5x2 – 30.3 + 95


Y= ?


Answers

Y= 74.7

Lmk if this was right or not.

Find the surface area of the regular pyramid.

Answers

Answer:

D

Step-by-step explanation:

Base perimeter = side x 5 = 4 x 5 = 20 in

LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2

SA = base area + LA = 27.5 + 80 = 107.5 in^2

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

(Please help. I need this)

Answers

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

[tex]C(n) = 40n + 210[/tex]

After 2 months:

This is C(2). So

[tex]C(2) = 40(2) + 210 = 80 + 210 = 290[/tex]

After 12 months:

This is C(12). So

[tex]C(12) = 40(12) + 210 = 480 + 210 = 690[/tex]

After 24 months:

This is C(24). So

[tex]C(24) = 40(24) + 210 = 960 + 210 = 1170[/tex]

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?

Answers

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

+12<16
Please with steps :)

Answers

Answer:

0,1,2,3

Step-by-step explanation:

Which choice represents the fraction below as a single exponential expression? (ap3x)

Answers

Answer:

d^5

Step-by-step explanation:

d^8 / d^3

We know that a^b / a^c = a^(b-c)

d^(8-3)

d^5

which choic below rrpresents the fraction as a single exponential expression

Option b


In triangle CAT, points DOG......

Answers

9514 1404 393

Answer:

  46 units

Step-by-step explanation:

Each midline is half the length of the parallel side of ΔCAT. This tells us ...

  TO = AO = DG = 10

  AD = GO = 7

  GT = DO = 9

The perimeter of the trapezoid is ...

  TA +AD +DG +GT = (TO+OA) +AD +DG +GT

  = (10 +10) +7 +10 +9 = 46

The perimeter of the trapezoid is 46 units.

explain how to write an equation of a line given the slope and one point on the line

Answers

Explanation: For slope-intercept form (y=mx+b) where m=slope and b=y-intercept, all you need is the slope and the y-intercept to create an equation. Since the slope is already given, you can substitute that value for m. As for the y-intercept, since a point on the line is already given, you can substitute the X and Y values of that point into the equation, replacing y and x in y=mx+b. Then, use normal algebra to solve for b and finalize the equation by substituting it into your current equation. That’s all!

I hope my explanations were clear lol cause I usually suck at explaining :D


Hope this helps シ

The data given to the right includes data from 30 ​candies, and 5 of them are red. The company that makes the candy claims that 32​% of its candies are red. Use the sample data to construct a 90​% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32​%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%

Answers

100% expansión explanation

can someone answer this please? I'll give brainlest for correct answer​

Answers

Answer:

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Step-by-step explanation:

There are 18 spaces so each is 180 / 18 = 10º

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Answer:

xoy = 40 degree angle

toy = 140 degree angle

zox = 110 degree angle

toz = 70 degree angle

zoy = 70 degree angle

Step-by-step explanation:

Use protractor to measure. Each mark is equal to 10 degrees.

If the area of a rectangle is 36 ina and the length is 9 in, what is the width?

Answers

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

The formula for area is W x L = A

If Length is 9,

9W=36

W=4


Solve the equation for all real solutions.

X^2 + 11z +9 = 5z

Someone help plz ):

Answers

Answer:

[tex]z = -3[/tex]

Step-by-step explanation:

Given

[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation

Required

Solve

Equate to 0

[tex]z^2 +11z-5z+9 = 0[/tex]

[tex]z^2 +6z+9 = 0[/tex]

Expand

[tex]z^2 +3z+3z+9 = 0[/tex]

Factorize

[tex]z(z +3)+3(z+3) = 0[/tex]

Factor out z + 3

[tex](z +3)(z+3) = 0[/tex]

Split

[tex]z + 3 =0[/tex] --- twice

[tex]z = -3[/tex]

Pythagorean theorem..

Answers

[tex]{\huge{\underbrace{\bf{\pink{Answer}}}}}[/tex]

Length of missing leg = 12 km

Using Pythagoras theorem

a² = 15² - 9²

a = √ 225 - 49

a = √144

a = 12 km

HOPE IT HELPS..

By using Pythagoras Theorem:-

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

Solving The Question

H²= B²+ P²

[tex]15 {}^{2} = 9 {}^{2} + p {}^{2} \\ \\ p {}^{2} = 15 {}^{2} + 9 {}^{2} \\ \\ p {}^{2} = 225 - 81 \\ \\p {}^{2} = 144 \\ \\ p = \sqrt{144} \\ \\ p = 12[/tex]

Hope This Helps You ❤️

a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions ​

Answers

Answer:

WIDTH= 54yd, LENGTH= 216 yd

Step-by-step explanation:

Length can be denoted as L

Width can be denoted as W

From the question,

(L= 4W) ........... eqn(1)

But perimeter = [(2L + 2W)]........eqn(2)

Substitute eqn(1) into (2)

Perimeter= (8W + 2W) = 10W

From the question,

perimeter= 540 yd

540=10W

W=(540/10)= 54

W= 54 yd

Hence, WIDTH= 54yd

From equation (1) substitute W= 54 yd

(L= 4W)

L= (4×54)

L= 216 yd

Hence, LENGTH= 216 yd

The dimensions are WIDTH= 54yd, LENGTH= 216 yd

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