Answer:
Step-by-step explanation:
we know that
In this problem
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem
square root both sides
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now;
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of given that X(t)=5 is:
(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
Answer:
Charlie travelled for 96 minutes . <h2>Explanations : </h2>
Given
• A ride on a rental scooter cost $3 plus 11 cents per minute for a ride ,
,
• Total bill for Charlies ride = $13.56
,
• Let Charlies ride be equal to ,t minutes, long
,
• This is a linear function representing the total bill for Charlies ride as follows :
<h2>Therefore , solving for t , we get that t = </h2>
• t = 96 minutes ,
• This means that Charlie travelled for, 96 minutes ,.
,
• With a total bill of $13.56 , Charlies ride was 96 minutes long.