1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paladinen [302]
2 years ago
9

Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What i

s the probability that the number of minutes Alice is late for the party plus the number of minutes Bob is late for the party is less than $45$
Mathematics
1 answer:
faltersainse [42]2 years ago
3 0

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

Learn more about probability here:

brainly.com/question/11234923

#SPJ4

You might be interested in
How many grams are in 8 fluid ounces
WITCHER [35]

there are 226.796 grams in 8 ounces

6 0
2 years ago
Read 2 more answers
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son l
Marysya12 [62]

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

\frac{5}{6} de los corredores son europeos, o sea:

E = \frac{5x}{6}

Los americanos son la dècime parte de los europeos, o sea:

Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}

Los africanos son la quinta parte de los americanos, o sea:

Afr = \frac{1}{5}Am = \frac{x}{60}

En la carrera han inscritos 24 000 participantes, o sea, x = 24000. Por eso, la cantidad de africanos es:

Afr = \frac{x}{60} = \frac{24000}{60} = 400

Para obtener más información sobre las proporciones, puedes visitar a brainly.com/question/24615636

8 0
2 years ago
Can someone help me solve this and put this on a graph. Just one problem may help.
Sauron [17]
I thought of it as answering a regular equation and imagine it's equal signs but when your done solving you with have like ex x<5 and where ever the butt of the arrow is pointing is where the lines goes if there's ano equal sign below it then it is includive
3 0
3 years ago
If a man walks for 6 miles a steady speed of 3 mph, how long will it take him
Mrrafil [7]
I think you need to divide
6 0
2 years ago
Read 2 more answers
Circle Z is intersected by AC←→ and CE←→.<br><br> What is the measure of AE?
Serggg [28]
36 = 1/2 (AE - 26)
72 = AE - 26
98 = AE
6 0
2 years ago
Read 2 more answers
Other questions:
  • At Emily’s closet 1/3 of the cloths are white and 1/5 are black what. What fraction of Emilly’s clothes are black and white ?
    13·2 answers
  • If the legs of a right triangle are 10 and 24, then the<br>hypotenuse is<br>​
    11·1 answer
  • The base of a triangular prism is an isosceles right triangle with a hypotenuse of 72−−√ centimeters. The height of the prism is
    8·1 answer
  • 5x(x+6)=−50 i need to find the xs by completing the square
    8·1 answer
  • Slope intercept is what they're looking for
    8·1 answer
  • Find the length bc rounded to 1 decimal place
    7·1 answer
  • Which statement is true?'
    11·1 answer
  • Please help me on this!! it’s my last question
    5·1 answer
  • Mr. Pham mowed 2/7 of his lawn. His son mowed 1/4 of it.<br> Who mowed the most?
    11·1 answer
  • A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!