Answer:
12/7
Step-by-step explanation:
5/3x+10/7=30/7
5/3x=30/7-10/7
5/3x=20/7
x=(20/7)/(5/3)
x=(20/7)(3/5)
x=60/35
simplify
x=12/7
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
The picture is unclear so I cannot really help. I'm sure I could if it was clearer though.
Answer:
(1, - 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ), thus
T(- 3, - 1 ) → T'(1, - 3 )