Let the distance be d
Using pythagorean theorem,



d ≈ 119
The player ran for
119 meters
Answer:
1/5
Step-by-step explanation:
i had a similar question
For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average).
So the cost for one play is 2 dollars and your win is 10/6.
Value is -2+10/6=-1/3 dollars
So you lose 1/3 dollars on average with each game
since you have no limited rolls u put 1/5
this from another question but both same just different numbers
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line
, 
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now, 
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality
. The 'y' value is less than
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
Answer:
138 meters
Step-by-step explanation:
step 1
Find the radius of the circular city plaza
The area is equal to

we have


substitute

solve for r

step 2
we know that
To find out how long is the row of bricks, determine the circumference of the circular city plaza
The circumference is equal to

we have


substitute

Answer:
Expected Value = 0.9206
so expected value we expect 1 liberal to be chose
Step-by-step explanation:
given data
delegation = 3 selected
liberals = 4
conservatives = 5
solution
we know that Delegates total 4 liberals 5 conservatives.
so here Probability of getting a liberal is
Probability of getting a liberal = 
and
Expected Value will be here
Expected Value =
3
Expected Value = 0.4444 + 0.3333 + 0.1428
Expected Value = 0.9206
so expected value we expect 1 liberal to be chose