Traza el grafico de la función y= ax+b,
1 answer:
Answer:
a)
The graph is on the figure with the red line
b)
And the equation would be:
The graph is on the figure with the blue line
Step-by-step explanation:
Part a
We know that a=2 and b =1
The general expression is given by:
The graph is on the figure with the red line
Part b
For this case we know that a=3 and we know a point given (2,2). Then we can find the value of b like this:
And the equation would be:
The graph is on the figure with the blue line
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Given:
Consider the equation is:
Some steps of the solution are given.
To find:
The next step of the solution.
Solution:
Step 1: The given equation is:
Step 2: Simplifying right hand side.
Step 3: Simplifying left hand side.
These steps are already given. So, the next step is:
Step 4: Subtracting 3 from both sides.
Therefore, the correct option is (b).
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.