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Dmitry_Shevchenko [17]
3 years ago
13

Use the basic probability principle to solve the following problem. Express each probability as a fraction reduced to lowest ter

ms. A​ 12-sided die is rolled. The set of​ equally-likely outcomes is StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 EndSet . Find the probability of rolling any number except 10.
Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

\dfrac{11}{12}

Step-by-step explanation:

If a 12-Sided die is rolled. The set of​ equally-likely outcomes is:

{1,2,3,4,5,6,7,8,9,10,11,12}

\text{The probability of rolling a 10}=\dfrac{1}{12}

Therefore, the probability of rolling any number except 10 is:

\text{The probability of rolling a number except 10}\\=1-\text{The probability of rolling a 10}\\=1-\dfrac{1}{12}\\=\dfrac{11}{12}

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“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this
Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

5 0
3 years ago
X + ky = 1
Marina CMI [18]
X + k y = 1
k x + y = 1  / * ( - k )
----------------
      x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For  k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) ,  1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.

3 0
3 years ago
Hamdi lives 452 miles from her
scZoUnD [109]

Answer:

It's 317 miles.

Step-by-step explanation:

You just take the amount of miles it is from her grandparents house and the amount of miles to her cousins house and then you subtract them.

 452-135=317 miles apart.

7 0
3 years ago
Emily went to the movie theatre for her birthday. A mix of adults and children attended, making a total of 19 people. Each adult
konstantin123 [22]

Answer:

13 Adults and 6 Kids

Step-by-step explanation:

13*9 = $117

6*5.5 = $33

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8 0
3 years ago
Will mark brainliest!!!Solve for each variable
Kamila [148]

Answer:

n=5, m = 4

Step-by-step explanation:

It is a parallelogram so m+8 = 3m and 2n-1 = 9

7 0
3 years ago
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