Answer:
The answer to your question is: x = 32
Step-by-step explanation:
Data
x = ?
It is an equilateral triangle so, the three angles measure the same
2x - 4 = 5y
2x - 5y = 4
The sum of the internal angles in a triangle equals 180°
3(5y) = 180
5y = 180/3
5y = 60
y = 12
2x - 4 = 5y
2x - 4 = 5(12)
2x = 60 + 4
2x = 64
x = 64/2
x = 32
Answer:
Step-by-step explanation:
Figure it out yourself
Answer:
a) C. No, a carton can have a puncture and a smashed corner.
b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.
Step-by-step explanation:
To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.
Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.
The answer is "C. No, a carton can have a puncture and a smashed corner."
We can calculate the probability that the carton has a puncture <em>or </em>has a smashed comer simply by adding the probability of each event:

P(X ∪ Y): probability that a carton has a puncture or a smashed corner.
The product is equal to zero if one of the factors is equal to zero.
Therefore:

Step-by-step explanation:
if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.
the inverse function simply tries to calculate the original x it of the original y.
and then, to make it a formal function, we rename x to y and y to x.
y = 3x³
x³ = y/3
![x = \sqrt[3]{ \frac{y}{3} }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7By%7D%7B3%7D%20%7D%20)
=> as "regular" function
![y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} }](https://tex.z-dn.net/?f=y%20%20%3D%20%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7Bx%7D%7B3%7D%20%7D%20)