Answer:
y=+9
Step-by-step explanation:
y=mx+b
m is the slope and b is the y intercept, replace m with 0 and replace b with 9.
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.
Answer:
5 mph.
Step-by-step explanation:
Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x
= 5/3 x miles an hour.
So we have the equation
5/3 x - x = 2 ( since the cyclist was travelling at 2 mph faster).,
2/3 x = 2
x = 3/2 * 2 = 3 mph.
So the cyclists speed was 3 * 5/3
= 5 mph.
Answer:
<A = ( 4 * 32 - 13 ) = 115
<C = ( x + 18 ) = 50
Step-by-step explanation:
(4x - 13 ) + 15 + ( x + 18 ) = 180 ( because the total angle of a triangle is 180)
5x + 20 = 180
5x = 160
x = 32