A line passes through the point (2,-5) and is perpendicular to the line with the
1 answer:
Answer:
D) y = -5x + 5
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 1/5x + 5. Its slope is 1/5. A line parallel/perpendicular to this one will have a slope of -5.
Plug this value (#) into your standard point-slope equation of y = mx + b.
y = -5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -5(2) + b
To find b, multiply the slope and the input of x (2)
-5 = -10 + b
Now, add 10 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -5x + 5
This equation is parallel/perpendicular to your given equation (y = 1/5x + 5) and contains point (2, -5)
Hope this helps!
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Answer:
The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.
Step-by-step explanation:
The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.
The random variable <em>T</em> is exponentially distributed.
The probability density function of a an exponential random variable is:
The average time a customer spends in a bank is <em>β</em> = 10 minutes.
Then the parameter of the distribution is:
An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.
That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)
So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is:
P (X > 15 | X > 10) = P (X > 5)
Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.