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). Find the probability of rolling a
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Answer:
Step-by-step explanation:
Given
--- outcomes
-- sample size
Required
This is calculated as:
because none of the outcomes is greater than 12:
So:
Answer:
(- 5, 3 )
Step-by-step explanation:
Given the 2 equations
y = - 8x - 37 → (1)
x + 3y = 4 → (2)
Substitute y = - 8x - 37 into (2)
x + 3(- 8x - 37) = 4 ← distribute and simplify left side
x - 24x - 111 = 4
- 23x - 111 = 4 ( add 111 to both sides )
- 23x = 115 ( divide both sides by - 23 )
x = - 5
Substitute x = - 5 into (1) for corresponding value of y
y = - 8(- 5) - 37 = 40 - 37 = 3
Solution is (- 5, 3 )
Answer:
9 boxes are packed and 10 brownies are left over.
Step-by-step explanation:
Carrie made 127 brownies and packed 13 in each box.
The number of boxes packed are , 127/13= 9 10/13
Which means that 9 boxes were packed and 10 brownies were left over.
Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
Answer:
El CD costaba $100 inicialmente.
Step-by-step explanation:
Dado que la información indica que el porcentaje de descuento es 20% y ese descuento tiene un valor de $20, puedes usar una regla de tres para encontrar el valor que representa el 100% que sería el valor inicial del CD dado que el 20% del valor es igual a $20:
20% → 20
100% → x
x=(100*20)/20=100
De acuerdo a esto, la respuesta es que el CD costaba $100 inicialmente.
