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NISA [10]
3 years ago
8

There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to

a student. What is the probability that no student will get his or her own hat
Mathematics
1 answer:
laiz [17]3 years ago
5 0

Answer:

The probability of a person getting their own hat is 1/5 or 20%.

Step-by-step explanation:

If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.

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Find the intercepts of the equation -x-2y=4 I need the x and y intercept in two points
Basile [38]

Answer:

x-intercept: (-4,0)

y-intercept: (0,-2)

Step-by-step explanation:

5 0
2 years ago
Tom wants to place a photograph that is 8.5 inches wide on his science fair poster. His poster board is 21.25 inches wide. How f
SOVA2 [1]

Answer:

6 3/8 inches (6.375 inches)

Step-by-step explanation:

For simplicity we'll assume that both the photo and the poster board are square.  To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2:  6.375 inches (6 3/8 inches).  

Set the photo 6 3/8 inches from each edge of the poster board.

6 0
3 years ago
Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Tha
julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

60^\circ+80^\circ+90^\circ+x+x=360^\circ

230^\circ+2x=360^\circ

2x=360^\circ-230^\circ

2x=130^\circ

Divide both sides by 2.

\dfrac{2x}{2}=\dfrac{130^\circ}{2}

x=65^\circ

Therefore, the measures of both exterior angles are 65 degrees.

6 0
2 years ago
Can a triangle be formed with the sides lengths of 6 cm, 2cm and 8 cm?
laiz [17]

Answer:

can not

Step-by-step explanation:

3 0
2 years ago
Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice
Troyanec [42]

9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

4 0
2 years ago
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