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
Katyanochek1 [597]
3 years ago
11

Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv

es at a different time. a. In how many ways can they​ arrive? b. In how many ways can Dawn arrive first and Jim ​last? c. Find the probability that Dawn will arrive first and Jim last.
Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

a.

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

b.

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

c.

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

You might be interested in
Pllzzzzzzz helllllppppp i need hellppp
goldfiish [28.3K]
The answare is c because the voulme would be 150 because 30*5 =150
8 0
4 years ago
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of
viva [34]
Jennifer will get 7 kilograms of carrots.

To solve this, simply divide 28 by 4, which is the total number of people sharing the carrots altogether. You wouldn’t divide the number of carrots, 3, by 4, because that is additional info that is out there to throw you off track. Instead, to find the weight of the carrots that Jennifer would get, you would divide the total weight of the carrots by the people sharing them to get 7 kg.
4 0
3 years ago
Read 2 more answers
The midpoint of AB is M(-1, -2)M(−1,−2). If the coordinates of AA are (1, 3)(1,3), what are the coordinates of BB?
Sholpan [36]
of the quotient of the rectangular prism of green green and green green yellow green eeewww

4 0
3 years ago
9.<br> 8 cm<br> 5.1 cm<br> 5.1 cm<br> 15 cm<br> 5 cm<br> 10 cm<br> Find the area and perimeter
Ganezh [65]

Answer:

of what tho

Step-by-step explanation:

6 0
3 years ago
N the diagram, and are horizontal lines and is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates of point D?
riadik2000 [5.3K]
<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment. Given that FB : FC = 4 : 3, From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1). We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A) Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1)) Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3. Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4). Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3. Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4). Therefore, the coordinates of point D is (-6, -4).</span>
5 0
3 years ago
Other questions:
  • Is a rectangle a square
    11·2 answers
  • The mass of an object is equal to the product of the objects density and volume. The density of copper is 8.94 grams per cubic c
    6·1 answer
  • 28,600 at 7.9% compounded semiannually for 2 years
    14·1 answer
  • Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)
    8·1 answer
  • Write an equation of a line through (4,-1), parallel to y = 1x – 5<br><br>​
    13·1 answer
  • Here is the graph (sorry).
    12·1 answer
  • I’m about to spam questions if you can answer them please do .
    9·1 answer
  • HELP VERY MUCH NEEDED PLEASE AND THANKYOUUU!!Drag the tiles to the correct locations on the image. Not all tiles will be used.
    10·1 answer
  • Drag the numbers below to put them in order from least to greatest:
    9·1 answer
  • A submarine was situated 600 feet below sea level. An airplane directly above is at a height of 8,500 feet.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!