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\cup Y)=P(X)+P(Y)=0.1+0.04=0.104](https://tex.z-dn.net/?f=P%28X%5Ccup%20Y%29%3DP%28X%29%2BP%28Y%29%3D0.1%2B0.04%3D0.104)
P(X ∪ Y): probability that a carton has a puncture or a smashed corner.
Answer:
72
Step-by-step explanation:
72 since it has to opposite parall sides
Answer:
19 minutes in 2 miles is how long it tool her to run it
Step-by-step explanation:
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is ![g(x)=2\sqrt{x}+3](https://tex.z-dn.net/?f=g%28x%29%3D2%5Csqrt%7Bx%7D%2B3)
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:
7
Step-by-step explanation:
thats kinda sus but 8-1