3x^2 + 3y^2 = 75
Dividing through by 3 we get
x^2 + y^2 = 25
The center is at (0,0) answer
Answer:
The events must be independent.
Step-by-step explanation:
The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.
If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be
where
are combinations of 100 elements taken k at a time.
Answer:
x = 5, x = 
Step-by-step explanation:
Given
+
= 3 
= 
= 
=
( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 
x - 5 = 0 ⇒ x = 5
A triangle is an isosceles if two sides are equal, it’s an equilateral if all three sides are equal.
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1